Effect of Temperature Fluctuation on White Balance Main Parameters and Hue of LED Panel

SU Ran; ZHENG Xifeng; CHEN Yu; LIU Fengxia; ZHANG Xin; WANG Yang; CAO Hui; MIAO Jing

doi:10.37188/CJL.20220257

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Effect of Temperature Fluctuation on White Balance Main Parameters and Hue of LED Panel

Luminescence Industry and Technology Frontier | Updated：2023-03-13

- Effect of Temperature Fluctuation on White Balance Main Parameters and Hue of LED Panel Enhanced Publication
- Chinese Journal of Luminescence Vol.44, Issue 2, (2023)
- Affiliations：
  
  Changchun Institute of Optics， Fine Mechanics and Physics， Chinese Academy of Sciences,Changchun,China,130033;University of Chinese Academy of Sciences,Beijing,China,100049;Changchun Cedar Electronics Technology Co.， Ltd.,Changchun,China,130103
- Author bio：
- Funds：
  
  Key Projects of Jilin Province Science and Technology Development Plan(20210301002GX);Changchun Science and Technology Development Plan Item(21ZGG18)
- DOI：10.37188/CJL.20220257 CLC： TN952;TN248.4
- Published：05 February 2023，
  
  Received：04 July 2022，
  
  Revised：25 July 2022，
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宿然,郑喜凤,陈宇等.温度波动对LED显示屏白平衡主要参数及图像色调的影响[J].发光学报,2023,44(02):346-355.

SU Ran,ZHENG Xifeng,CHEN Yu,et al.Effect of Temperature Fluctuation on White Balance Main Parameters and Hue of LED Panel[J].Chinese Journal of Luminescence,2023,44(02):346-355.
宿然,郑喜凤,陈宇等.温度波动对LED显示屏白平衡主要参数及图像色调的影响[J].发光学报,2023,44(02):346-355. DOI： 10.37188/CJL.20220257.

SU Ran,ZHENG Xifeng,CHEN Yu,et al.Effect of Temperature Fluctuation on White Balance Main Parameters and Hue of LED Panel[J].Chinese Journal of Luminescence,2023,44(02):346-355. DOI： 10.37188/CJL.20220257.

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"LED显示屏的图像显示质量一直是显示行业内重点关注的问题，而LED显示屏的白平衡参数决定了其复现和还原的显示图像的亮度和色调，是影响图像显示质量的重要因素。一般情况下，显示屏的白平衡由红、绿、蓝三基色的亮度配平比例确定，而且该配平比例相对稳定；但是对于LED的各个基色来说，环境因素的变化会引起基色参量的变化，从而导致显示屏白平衡的漂移，严重影响图像显示质量。本文基于色度学理论和LED显示特性，构建了特定LED显示颜色空间模型；并在设定颜色空间探究不同温度环境各个基色仅在亮度变化条件下对白平衡参数的影响，重点研究了在温度波动条件下白平衡的漂移规律以及显示图像产生的色调的畸变情况；通过归纳不同波动参数定量分析温度变化对LED显示屏白平衡主要参数的影响，为高清LED显示控制系统提供较有价值的图像修正理论依据，有助于提升高端LED显示产品的显示质量。" } ] } ] }, { "lang": "en", "data": [ { "name": "p", "data": [ { "name": "text", "data": "Image quality has always been a hot topic in LED display field， one of momentous contributing factors is white balance parameter， which directly determines the luminance and chroma fidelity. Generally， white balance is adjusted by fixed ratio of luminance of the primaries. Furthermore， balance ratio is relatively stable. But for each primary of the LED， changes in environmental factors will cause changes in the primary parameters. As a result， the white balance of the display panel drifts， which seriously affects the image display quality. Based on the theory of chromaticity and characteristics of LED， this paper builds a gamut model of a specific LED display to discuss the effect of each primary on white balance parameters in different temperature environments only when the brightness changes. The variation of white balance parameters and hue distortion under temperature fluctuation are mainly quantitative analyzed. In that， this paper provides a valuable theoretical basis for the revision of the high-definition LED display control system， which helps to enhance the qualities of high-end LED display products." } ] } ] } ], "keyword": [ { "lang": "zh", "data": [ [ { "name": "text", "data": "LED显示" } ], [ { "name": "text", "data": "温度波动" } ], [ { "name": "text", "data": "白平衡" } ] ] }, { "lang": "en", "data": [ [ { "name": "text", "data": "LED display" } ], [ { "name": "text", "data": "temperature fluctuation" } ], [ { "name": "text", "data": "white balance" } ] ] } ], "highlights": [], "body": [ { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "1　引　　言" } ], "level": "1", "id": "s1" } }, { "name": "p", "data": [ { "name": "text", "data": "随着科技的发展和社会的进步，LED（Light emitting diode）大屏幕显示器作为新型显示的重要分支，发展越来越迅速，应用领域也在不断拓展。其中LED全彩色显示屏因其具有大尺寸、高亮度、无缝拼接等优点，在服务业、金融业、交通等方面应用十分广泛。LED全彩显示屏的每个像素的颜色是由红、绿、蓝三种颜色的LED按规定比例的灰度级组合而成" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "1", "type": "bibr", "rid": "R1", "data": [ { "name": "text", "data": "1" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。所以LED显示屏白平衡的主要特性与红、绿、蓝的亮度和色度具有相关性，稳定各个基色的匹配比例参数不但能够保证显示器的白平衡正确复现，而且能使显示图像的色调得到正确还原。LED显示产品虽然优点众多，但是LED的发光易受诸多内部和外部因素的影响，例如LED的温度特性、衰减特性以及驱动电路电源等因素会使各个基色的亮度随着时间而产生变化，导致白平衡的亮色度产生偏差" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "2", "type": "bibr", "rid": "R2", "data": [ { "name": "text", "data": "2" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。本文基于LED的温度特性展开了温度波动对LED白平衡主要参数影响的研究。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "LED的发光是P-N结中载流子相互作用的结果，随着温度的不断升高，LED中载流子发生复合的几率逐步下降，则 LED的发光效率降低，造成发光亮度减弱，且各种颜色的LED对温度波动敏感度不同" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "3", "type": "bibr", "rid": "R3", "data": [ { "name": "text", "data": "3" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。因此温度波动会对各个基色LED的发光亮度产生不同影响，从而会使LED屏幕白平衡的主要参数——亮度及色度坐标产生偏移。因此，在实际应用中必须考虑温度这一因素带来的误差影响。国内外研究人员对不同温度条件、不同发光材料、不同发光颜色的LED芯片的发光特性、人体的视觉感知进行了一系列研究" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "blockXref", "data": { "data": [ { "name": "xref", "data": { "text": "4", "type": "bibr", "rid": "R4", "data": [ { "name": "text", "data": "4" } ] } }, { "name": "text", "data": "-" }, { "name": "xref", "data": { "text": "9", "type": "bibr", "rid": "R9", "data": [ { "name": "text", "data": "9" } ] } } ], "rid": [ "R4", "R5", "R6", "R7", "R8", "R9" ], "text": "4-9", "type": "bibr" } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。另外，对色温与白平衡点的确定、控制与配平比的关系也有一定的研究" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "blockXref", "data": { "data": [ { "name": "xref", "data": { "text": "10", "type": "bibr", "rid": "R10", "data": [ { "name": "text", "data": "10" } ] } }, { "name": "text", "data": "-" }, { "name": "xref", "data": { "text": "13", "type": "bibr", "rid": "R13", "data": [ { "name": "text", "data": "13" } ] } } ], "rid": [ "R10", "R11", "R12", "R13" ], "text": "10-13", "type": "bibr" } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。但是温度波动对LED亮度和白平衡的影响定量分析的相关研究和报道很少。为了确定温度波动对LED显示屏带来的误差与影响，本文基于色度学理论和LED显示器特性，构建了LED显示颜色空间模型；研究各个基色的亮度在不同温度条件下的变化情况；设定颜色空间探究不同温度环境白平衡参数的变化规律以及对显示图像色调畸变的影响；并定量分析温度波动对白平衡主要参数的影响。为高清LED显示控制系统提供较有价值的图像修正理论依据，为RGB LED背光液晶显示器的色域校准提供参考依据，有助于提升高端LED产品的显示效果。" } ] } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "2　LED显示色域模型的建立" } ], "level": "1", "id": "s2" } }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "2.1　RGB到CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "颜色空间的映射" } ], "level": "2", "id": "s2a" } }, { "name": "p", "data": [ { "name": "text", "data": "CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "XYZ" } ] }, { "name": "text", "data": "是国际照明委员会在1931年推出并在1964年修订的CIE颜色系统（CIE Color System），该系统与显示设备无关。CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "XYZ" } ] }, { "name": "text", "data": "颜色空间表示的所有颜色都可以通过红、绿、蓝三种基色中导出" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "14", "type": "bibr", "rid": "R14", "data": [ { "name": "text", "data": "14" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。鉴于计算的简化性，CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "XYZ" } ] }, { "name": "text", "data": "用虚拟的" }, { "name": "italic", "data": [ { "name": "text", "data": "X、Y、Z" } ] }, { "name": "text", "data": "表示实际的三基色刺激值，并且可以表示对应颜色。同时考虑到色度的规格化，国际照明委员会定义了CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "颜色空间，用" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "text", "data": "的占比表示色度，记为" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "15", "type": "bibr", "rid": "R15", "data": [ { "name": "text", "data": "15" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。其中" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "text", "data": " 与" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "text", "data": "的转换关系如下：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（1）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} x = \frac{X}{X + Y + Z} \\ y = \frac{Y}{X + Y + Z} \\ z = \frac{Z}{X + Y + Z} \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031682&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031675&type=", "width": "22.69066620", "height": "25.56933212", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF1" } }, { "name": "p", "data": [ { "name": "text", "data": "根据Grassmann定律" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "14", "type": "bibr", "rid": "R14", "data": [ { "name": "text", "data": "14" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "，LED显示白平衡的亮度是由红、绿、蓝三基色的亮度混合得到" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（2）" } ], "data": [ { "name": "math", "data": { "math": "

L_{W} = R + G + B

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031692&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031687&type=", "width": "23.96066666", "height": "3.80999994", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF2" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "text", "data": "为显示的某个像素的三基色亮度，" }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "W" } ] }, { "name": "text", "data": "为该像素白平衡的亮度。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "为了研究白平衡的变化，本文将" }, { "name": "xref", "data": { "text": "公式（2）", "type": "disp-formula", "rid": "DF2", "data": [ { "name": "text", "data": "公式（2）" } ] } }, { "name": "text", "data": "进行线性变换，构建颜色空间中白平衡与三基色的关系：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（3）" } ], "data": [ { "name": "italic", "data": [ { "name": "text", "data": "W " } ] }, { "name": "text", "data": "= " }, { "name": "italic", "data": [ { "name": "text", "data": "H" } ] }, { "name": "math", "data": { "math": "

[R_{} G_{} B_{}]^{T} = (h_{i j})_{3 \times 3} I

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031704&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031698&type=", "width": "33.69733429", "height": "4.82600021", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF3" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（4）" } ], "data": [ { "name": "math", "data": { "math": "

I = (I_{i j})_{3 \times 1} = {[R G B]}^{T}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031717&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031710&type=", "width": "35.81399918", "height": "4.82600021", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF4" } }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "W" } ] }, { "name": "text", "data": "为CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "颜色空间中的白场。为了建立起RGB空间与显示色域模型的关系，用三刺激值来表示CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间中的白平衡，得到：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（5）" } ], "data": [ { "name": "math", "data": { "math": "

{[X Y Z]}^{T} = (h_{i j})_{3 \times 3} {[R G B]}^{T}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031727&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031722&type=", "width": "47.32866669", "height": "4.82600021", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF5" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" }, { "name": "italic", "data": [ { "name": "text", "data": "X、Y、Z" } ] }, { "name": "text", "data": "为" }, { "name": "italic", "data": [ { "name": "text", "data": "W" } ] }, { "name": "text", "data": "对应的三刺激值，根据色度学原理以及CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间的定义可知，三刺激值中的" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": "表示CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间中白平衡点亮度的大小。" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（6）" } ], "data": [ { "name": "text", "data": "为了使转换矩阵形式简洁并容易求解，设" }, { "name": "math", "data": { "math": "

\begin{array}{c} h_{1 j} = C_{j} \times x_{j} \\ h_{2 j} = C_{j} \times y_{j} \\ h_{3 j} = C_{j} \times z_{j} \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031739&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031734&type=", "width": "18.45733452", "height": "13.54666710", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF6" } }, { "name": "p", "data": [ { "name": "text", "data": "则有：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（7）" } ], "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H " } ] }, { "name": "text", "data": "= " }, { "name": "math", "data": { "math": "

\"[\"\begin{matrix} C_{1} x_{1} & C_{2} x_{2} & C_{3} x_{3} \\ C_{1} y_{1} & C_{2} y_{2} & C_{3} y_{3} \\ C_{1} z_{1} & C_{2} z_{2} & C_{3} z_{3} \end{matrix}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031750&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031745&type=", "width": "30.56466866", "height": "13.88533401", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF7" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "是红基色在CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间中的色度坐标，" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "是绿基色在CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间中的色度坐标，" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "是蓝基色在CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间中的色度坐标，其数值根据不同的显示标准中三基色的色纯度波长的差异而有所不同，其中" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "为待确定的系数。带入" }, { "name": "xref", "data": { "text": "公式（5）", "type": "disp-formula", "rid": "DF5", "data": [ { "name": "text", "data": "公式（5）" } ] } }, { "name": "text", "data": "可得：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（8）" } ], "data": [ { "name": "math", "data": { "math": "

\"[\"\begin{matrix} X \\ Y \\ Z \end{matrix}\"]\" = \"[\"\begin{matrix} C_{1} x_{1} & C_{2} x_{2} & C_{3} x_{3} \\ C_{1} y_{1} & C_{2} y_{2} & C_{3} y_{3} \\ C_{1} z_{1} & C_{2} z_{2} & C_{3} z_{3} \end{matrix}\"]\" \"[\"\begin{matrix} R \\ G \\ B \end{matrix}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031763&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031758&type=", "width": "46.39733505", "height": "13.88533401", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF8" } }, { "name": "p", "data": [ { "name": "text", "data": "将三刺激值转换成颜色空间坐标可以得到：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（9）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} x = \frac{\sum_{j = 1}^{3} C_{j} x_{j} {I_{j}}_{1}}{\sum_{j = 1}^{3} (C_{j} x_{j} + C_{j} y_{j} + C_{j} z_{j}) {I_{j}}_{1}} \\ y = \frac{\sum_{j = 1}^{3} C_{j} y_{j} {I_{j}}_{1}}{\sum_{j = 1}^{3} (C_{j} x_{j} + C_{j} y_{j} + C_{j} z_{j}) {I_{j}}_{1}} \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031776&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031770&type=", "width": "43.77266693", "height": "39.36999893", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF9" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（10）" } ], "data": [ { "name": "math", "data": { "math": "

Y = \sum_{j = 1}^{3} C_{j} y_{j} {I_{j}}_{1}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031786&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031781&type=", "width": "20.15066719", "height": "8.80533314", "fontsize": "" } } }, { "name": "text", "data": "." } ], "id": "DF10" } } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "2.2　Rec.709标准下的色域模型及LED 显示色域模型" } ], "level": "2", "id": "s2b" } }, { "name": "p", "data": [ { "name": "text", "data": "Rec.709色域是1990年国际电信联盟指定的高清晰度电视的统一色彩标准，该标准的色坐标如" }, { "name": "xref", "data": { "text": "表1", "type": "table", "rid": "T1", "data": [ { "name": "text", "data": "表1" } ] } }, { "name": "text", "data": "所示。选择D65标准光源为目标白平衡坐标" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "14", "type": "bibr", "rid": "R14", "data": [ { "name": "text", "data": "14" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "，其中红、绿、蓝的色坐标见" }, { "name": "xref", "data": { "text": "表1", "type": "table", "rid": "T1", "data": [ { "name": "text", "data": "表1" } ] } }, { "name": "text", "data": "。" } ] }, { "name": "table", "data": { "id": "T1", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "表1" } ], "title": [ { "name": "text", "data": "Rec.709色彩标准色坐标" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Tab.1" } ], "title": [ { "name": "text", "data": "Rec.709 color standard color coordinates" } ] } ], "note": [], "table": [ { "head": [ [ { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "Rec.709" } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "x" } ] } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "y" } ] } ] } ] ], "body": [ [ { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "Red" } ] }, { "name": "p", "data": [ { "name": "text", "data": "Green" } ] }, { "name": "p", "data": [ { "name": "text", "data": "Blue" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "0.64" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.30" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.15" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "0.33" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.60" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.06" } ] } ] } ] ], "foot": [] } ], "graphics": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031798&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031791&type=", "width": "77.69583130", "height": "18.34584045", "fontsize": "" } } }, { "name": "p", "data": [ { "name": "text", "data": "由于有" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "text", "data": "+" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "text", "data": "+" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "text", "data": "=1，可以得到：" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "=0.64，" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "=0.33，" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "=0.03；" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "=0.30，" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "=0.60，" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "=0.10；" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "=0.15，" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "=0.06，" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "=0.79。针对LED红、绿、蓝三基色不同波长，通过调整红、绿、蓝在白场中的平衡关系，抵消偏色的现象并使LED显示屏图像更接近人眼视觉习惯，使颜色达到白平衡状态" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "16", "type": "bibr", "rid": "R16", "data": [ { "name": "text", "data": "16" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。为了计算简便，对颜色参数进行规格化处理。假设屏幕发出白光即颜色保持白平衡的理想状态时有" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "text", "data": "=" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "text", "data": "=" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "text", "data": " =1.00，此时当显示为白光即颜色保持白平衡时有" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1，则根据" }, { "name": "xref", "data": { "text": "公式（1）", "type": "disp-formula", "rid": "DF1", "data": [ { "name": "text", "data": "公式（1）" } ] } }, { "name": "text", "data": "与D65标准光源的三刺激值" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "D65" } ] }, { "name": "text", "data": "=95.05、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "D65" } ] }, { "name": "text", "data": "=100.00、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "D65" } ] }, { "name": "text", "data": "=108.91，计算其对于" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "D65" } ] }, { "name": "text", "data": "=100.00的相对值作为CIE" }, { "name": "italic", "data": [ { "name": "text", "data": " xyY" } ] }, { "name": "text", "data": "颜色空间的三刺激值，记为" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=0.950 5、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1.00、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1.089 1。将白平衡这一点的" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "和" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "带入" }, { "name": "xref", "data": { "text": "公式（8）", "type": "disp-formula", "rid": "DF8", "data": [ { "name": "text", "data": "公式（8）" } ] } }, { "name": "text", "data": "，并求解矩阵即可计算得到唯一解：" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "=1194/1853≈0.64，" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "=1273/1068≈1.19，" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3 " } ] }, { "name": "text", "data": "=1877/1560≈1.20，则根据其精确值可以继续计算出转换矩阵：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（11）" } ], "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H " } ] }, { "name": "text", "data": "= " }, { "name": "math", "data": { "math": "

\"[\"\begin{matrix} C_{1} x_{1} & C_{2} x_{2} & C_{3} x_{3} \\ C_{1} y_{1} & C_{2} y_{2} & C_{3} y_{3} \\ C_{1} z_{1} & C_{2} z_{2} & C_{3} z_{3} \end{matrix}\"]\" = \"[\"\begin{array}{c} 0.41 0.36 0.18 \\ 0.21 0.72 0.07 \\ 0.02 0.12 0.95 \end{array}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031807&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031804&type=", "width": "60.28266144", "height": "13.88533401", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF11" } }, { "name": "p", "data": [ { "name": "text", "data": "将转换矩阵" }, { "name": "italic", "data": [ { "name": "text", "data": "H" } ] }, { "name": "text", "data": "带入" }, { "name": "xref", "data": { "text": "公式（8）", "type": "disp-formula", "rid": "DF8", "data": [ { "name": "text", "data": "公式（8）" } ] } }, { "name": "text", "data": "和（9）中得到在Rec.709标准颜色标准和D65光源情况下的三基色亮度与白场色度在颜色空间中的转换关系：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（12）" } ], "data": [ { "name": "math", "data": { "math": "

\"[\"\begin{matrix} X_{R e c . 709} \\ Y_{R e c . 709} \\ Z_{R e c . 709} \end{matrix}\"]\" = \"[\"\begin{array}{c} 0.41 0.36 0.18 \\ 0.21 0.72 0.07 \\ 0.02 0.12 0.95 \end{array}\"]\" \"[\"\begin{matrix} R \\ G \\ B \end{matrix}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031813&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031809&type=", "width": "47.83666611", "height": "13.03866673", "fontsize": "" } } }, { "name": "text", "data": " ，" } ], "id": "DF12" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（13）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} x_{R e c . 709} = \frac{\sum_{i = r, g, b}^{} m_{i} \cdot I_{i}}{\sum_{i = r, g, b}^{} n_{i} \cdot I_{i}} \"{\"\begin{matrix} m_{r} = 0.41 \\ m_{g} = 0.36 \\ m_{b} = 0.18 \end{matrix}\"\" \"{\"\begin{matrix} n_{r} = 0.64 \\ n_{g} = 1.19 \\ n_{b} = 1.20 \end{matrix}\"\" \\ y_{R e c . 709} = \frac{\sum_{i = r, g, b}^{} l_{i} \cdot I_{i}}{\sum_{i = r, g, b}^{} n_{i} \cdot I_{i}}, \"{\"\begin{matrix} l_{r} = 0.21 \\ l_{g} = 0.72 \\ l_{b} = 0.07 \end{matrix}\"\" \"{\"\begin{matrix} I_{r} = R \\ I_{g} = G \\ I_{b} = B \end{matrix}\"\" \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031820&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031817&type=", "width": "64.34667206", "height": "39.45466614", "fontsize": "" } } }, { "name": "text", "data": "." } ], "id": "DF13" } }, { "name": "p", "data": [ { "name": "text", "data": "以下建立LED显示屏的亮色度空间模型，为了得到LED三基色的颜色标准，本文对LED显示屏进行色坐标参数测量的实验。目前，LED显示屏的主流芯片有华灿光电股份公司的LED芯片、三安光电股份公司的LED芯片等。本实验选用华灿的红绿蓝三色LED芯片，在环境温度为25 ℃左右、供电电流满足红光芯片6.58 mA、蓝光与绿光芯片4 mA的条件下，对使用该种芯片的多个不同批次的LED显示屏模组进行色坐标参数的测量。将得到的色坐标通过直方图进行统计，如" }, { "name": "xref", "data": { "text": "图1", "type": "fig", "rid": "F1", "data": [ { "name": "text", "data": "图1" } ] } }, { "name": "text", "data": "所示，红色的直方图组距为0.001，绿色组距为0.006，蓝色的组距为0.004；其中红色坐标落在（0.694 0~0.695 0，0.305 0~0.305 5）、绿色坐标落在（0.173 0~0.179 0，0.736 0~0.742 0）、蓝色坐标落在（0.128 0~0.132 0，0.062 0~ 0.066 0）区域内的样本数量最多，具有明显集中趋势，将落在该区域内所有样本的色坐标的均值作为LED三基色的颜色标准记为" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "。同理计算出图中数量显著比其他区域多的区域内样本色坐标的均值" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "，它们的色坐标如" }, { "name": "xref", "data": { "text": "表2", "type": "table", "rid": "T2", "data": [ { "name": "text", "data": "表2" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "fig", "data": { "id": "F1", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图1" } ], "title": [ { "name": "text", "data": "三基色管芯坐标分布情况。（a）红色管芯坐标分布直方图；（b）绿色管芯坐标分布直方图；（c）蓝色管芯坐标分布直方图。" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.1" } ], "title": [ { "name": "text", "data": "Coordinate distribution of three primaries die. （a）Coordinate distribution of red. （b）Coordinate distribution of green. （c）Coordinate distribution of blue." } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031824&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031831&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031827&type=", "width": "72.70529175", "height": "147.72760010", "fontsize": "" } ] } }, { "name": "table", "data": { "id": "T2", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "表2" } ], "title": [ { "name": "text", "data": "LED管芯的色坐标" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Tab.2" } ], "title": [ { "name": "text", "data": "The main distribution of color coordinates of LED" } ] } ], "note": [], "table": [ { "head": [ [ { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "LED" } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "x" } ] } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "y" } ] } ] } ] ], "body": [ [ { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] } ] }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] } ] }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] } ] }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] } ] }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] } ] }, { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "0.694 6" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.694 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.693 2" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.174 9" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.171 0" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.130 1" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "0.305 2" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.305 3" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.306 4" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.739 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.739 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.064 4" } ] } ] } ] ], "foot": [] } ], "graphics": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031837&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031834&type=", "width": "77.69583893", "height": "30.90513229", "fontsize": "" } } }, { "name": "p", "data": [ { "name": "text", "data": "以" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "这组数据为例，将" }, { "name": "italic", "data": [ { "name": "text", "data": "X" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=0.950 5、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1.00、" }, { "name": "italic", "data": [ { "name": "text", "data": "Z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1.089 1和" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "对应的" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "带入" }, { "name": "xref", "data": { "text": "公式（8）", "type": "disp-formula", "rid": "DF8", "data": [ { "name": "text", "data": "公式（8）" } ] } }, { "name": "text", "data": "，并求解矩阵即可求出唯一解：" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "=1049/1147≈0.914 6，" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "=1359/1570≈0.865 6，" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "=3437/2729≈1.259 4。则可根据精确值继续计算出转换矩阵，并将矩阵" }, { "name": "italic", "data": [ { "name": "text", "data": "H" } ] }, { "name": "text", "data": "带入" }, { "name": "xref", "data": { "text": "公式（8）", "type": "disp-formula", "rid": "DF8", "data": [ { "name": "text", "data": "公式（8）" } ] } }, { "name": "text", "data": "和（9）中得到在LED色域和D65标准色坐标情况下的三基色亮度与白场色度在颜色空间中的转换关系：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（14）" } ], "data": [ { "name": "math", "data": { "math": "

\"[\"\begin{matrix} X \\ Y \\ Z \end{matrix}\"]\" = \"[\"\begin{matrix} 0.6353 & 0.1514 & 0.1639 \\ 0.2791 & 0.6398 & 0.0811 \\ 0.0002 & 0.0744 & 1.0145 \end{matrix}\"]\" \"[\"\begin{matrix} R \\ G \\ B \end{matrix}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031842&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031840&type=", "width": "56.81133270", "height": "13.20800018", "fontsize": "" } } }, { "name": "text", "data": " ，" } ], "id": "DF14" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（15）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} x_{L E D} = \frac{\sum_{i = r, g, b}^{} m_{i} \cdot I_{i}}{\sum_{i = r, g, b}^{} n_{i} \cdot I_{i}} \"{\"\begin{matrix} m_{r} = 0.6353 \\ m_{g} = 0.1514 \\ m_{b} = 0.1639 \end{matrix}\"\" \"{\"\begin{matrix} n_{r} = 0.9146 \\ n_{g} = 0.8656 \\ n_{b} = 1.2594 \end{matrix}\"\" \\ y_{L E D} = \frac{\sum_{i = r, g, b}^{} l_{i} \cdot I_{i}}{\sum_{i = r, g, b}^{} n_{i} \cdot I_{i}}, \"{\"\begin{matrix} l_{r} = 0.2791 \\ l_{g} = 0.6398 \\ l_{b} = 0.0811 \end{matrix}\"\" \"{\"\begin{matrix} I_{r} = R \\ I_{g} = G \\ I_{b} = B \end{matrix}\"\" \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031846&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031843&type=", "width": "68.83399963", "height": "39.45466614", "fontsize": "" } } }, { "name": "text", "data": " ，" } ], "id": "DF15" } }, { "name": "p", "data": [ { "name": "text", "data": "LED显示屏的输入数据为" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "text", "data": "，将各个数据归一化得到范围为[0,1]的" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "值。对于LED显示色域，" }, { "name": "xref", "data": { "text": "公式（4）", "type": "disp-formula", "rid": "DF4", "data": [ { "name": "text", "data": "公式（4）" } ] } }, { "name": "text", "data": "中采用的" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "I" } ] } ] }, { "name": "italic", "data": [ { "name": "sub", "data": [ { "name": "text", "data": "k" } ] } ] }, { "name": "text", "data": "向量一般是指输入的光学亮度，但是从显示数据亮度的转换即电光传递函数是非线性函数" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "17", "type": "bibr", "rid": "R17", "data": [ { "name": "text", "data": "17" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "，满足：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（16）" } ], "data": [ { "name": "italic", "data": [ { "name": "text", "data": "I = k·V " }, { "name": "sup", "data": [ { "name": "text", "data": "γ" } ] } ] }, { "name": "text", "data": "，" } ], "id": "DF16" } }, { "name": "p", "data": [ { "name": "text", "data": "其中，" }, { "name": "italic", "data": [ { "name": "text", "data": "γ" } ] }, { "name": "text", "data": "值是光电转换的参数，根据目前电视信号通道特性LED的" }, { "name": "italic", "data": [ { "name": "text", "data": "γ" } ] }, { "name": "text", "data": "值一般取2.79；" }, { "name": "italic", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "为光电转换系数，本文简化为" }, { "name": "italic", "data": [ { "name": "text", "data": "k" } ] }, { "name": "text", "data": "=1；" }, { "name": "italic", "data": [ { "name": "text", "data": "V" } ] }, { "name": "text", "data": "为输入图像数据，这里指某像素的" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "0" } ] }, { "name": "text", "data": "值，范围为[0,1]；" }, { "name": "italic", "data": [ { "name": "text", "data": "I" } ] }, { "name": "text", "data": "为在当前图像数据下该像素的显示亮度，范围为[0,1]。输出由" }, { "name": "xref", "data": { "text": "公式（16）", "type": "disp-formula", "rid": "DF16", "data": [ { "name": "text", "data": "公式（16）" } ] } }, { "name": "text", "data": "可得显示的三基色亮度值，将这些亮度值经过" }, { "name": "xref", "data": { "text": "公式（15）", "type": "disp-formula", "rid": "DF15", "data": [ { "name": "text", "data": "公式（15）" } ] } }, { "name": "text", "data": "颜色空间的转换一一映射到CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "三维颜色空间的坐标。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "将" }, { "name": "xref", "data": { "text": "表2", "type": "table", "rid": "T2", "data": [ { "name": "text", "data": "表2" } ] } }, { "name": "text", "data": "中的管芯坐标排列组合，共得到6个不同的转换矩阵：" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "4" } ] }, { "name": "text", "data": "、" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "5" } ] }, { "name": "text", "data": "、" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sub", "data": [ { "name": "text", "data": "6" } ] }, { "name": "text", "data": "，记为一个矩阵簇" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "，通过" }, { "name": "bold", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "H" } ] } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "将颜色一一映射到CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "三维颜色空间，可以得到LED显示屏显示色域模型簇" }, { "name": "italic", "data": [ { "name": "text", "data": "M" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "，如" }, { "name": "xref", "data": { "text": "图2", "type": "fig", "rid": "F2", "data": [ { "name": "text", "data": "图2" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "fig", "data": { "id": "F2", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图2" } ], "title": [ { "name": "text", "data": "标准色域空间与宽色域LED显示屏CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "色域空间" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.2" } ], "title": [ { "name": "text", "data": "Standard and wide-gamut LED in CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": " gamut" } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031848&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031853&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031851&type=", "width": "98.04400635", "height": "77.08123779", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "在" }, { "name": "xref", "data": { "text": "图2", "type": "fig", "rid": "F2", "data": [ { "name": "text", "data": "图2" } ] } }, { "name": "text", "data": "的CIE " }, { "name": "italic", "data": [ { "name": "text", "data": "xyY" } ] }, { "name": "text", "data": "三维颜色空间内，" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "text", "data": "代表色度，作为颜色空间的水平面的横纵坐标；" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": "代表亮度，为颜色空间的垂直水平面的坐标；底面的马蹄形曲线为可见光谱所对应的色坐标连成的曲线，三维颜色空间表面由多个不规则的空间多边形组成，空间中每一点的高度即表示当前色度值颜色的亮度信息。内部被包裹住的彩色空间即为标准色域空间，而外部的轮廓是LED显示屏的色域空间簇" }, { "name": "italic", "data": [ { "name": "text", "data": "M" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "，由此可知LED显示屏的显示范围大大扩展了当前颜色标准可以显示的范围。从" }, { "name": "xref", "data": { "text": "图2", "type": "fig", "rid": "F2", "data": [ { "name": "text", "data": "图2" } ] } }, { "name": "text", "data": "中可以看出，在显示同一颜色时，LED显示的亮度比标准色域空间中显示的亮度更大；在显示同一亮度时，LED显示的颜色范围比Rec.709标准色域空间中显示的颜色范围更广。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "另外，在" }, { "name": "xref", "data": { "text": "图2", "type": "fig", "rid": "F2", "data": [ { "name": "text", "data": "图2" } ] } }, { "name": "text", "data": "中外层的色域空间簇即为特定的LED显示屏所能显示的所有亮色度的三维空间，该色域空间表面上最高的顶点簇" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "w" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "是当三基色亮度均达到最大时，显示屏所显示出的白场，即为显示屏达到白平衡时的白平衡点。点簇" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "r" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "是蓝色、绿色亮度为零仅有红色亮度存在并为最大值时显示屏所显示的颜色；点簇" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "g" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "是红色、蓝色亮度为零仅有绿色亮度存在并为最大值时显示屏所显示的颜色；点簇" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "b" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "是红色、绿色亮度为零仅有蓝色亮度存在并为最大值时显示屏所显示的颜色。点簇" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "r" } ] }, { "name": "text", "data": "'" }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "g" } ] }, { "name": "text", "data": "'" }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "b" } ] }, { "name": "text", "data": "'" }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "分别为" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "r" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "g" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "b" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "在" }, { "name": "italic", "data": [ { "name": "text", "data": "xoy" } ] }, { "name": "text", "data": "平面的投影，以" }, { "name": "italic", "data": [ { "name": "text", "data": "M" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "为例给出各点坐标，如" }, { "name": "xref", "data": { "text": "表3", "type": "table", "rid": "T3", "data": [ { "name": "text", "data": "表3" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "table", "data": { "id": "T3", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "表3" } ], "title": [ { "name": "text", "data": "LED颜色空间M" }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "各点坐标" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Tab.3" } ], "title": [ { "name": "text", "data": "LED color standard color coordinates" } ] } ], "note": [], "table": [ { "head": [ [ { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "x" } ] } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "y" } ] } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] } ] } ] ], "body": [ [ { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": 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"name": "p", "data": [ { "name": "text", "data": "0.305 2" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.739 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.064 4" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.305 2" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.739 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.064 4" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.279 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.639 8" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.081 1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0" } ] } ] } ] ], "foot": [] } ], "graphics": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031861&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031856&type=", "width": "77.69583130", "height": "40.44137573", "fontsize": "" } } } ] } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "3　温度波动引起白平衡亮色度偏差" } ], "level": "1", "id": "s3" } }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "3.1　模型中白平衡点关于温度的变化情况" } ], "level": "2", "id": "s3a" } }, { "name": "p", "data": [ { "name": "text", "data": "在显示屏进行显示的过程中，温度会随时间产生波动，而这种温度变化引起LED管芯的亮度输出和电压变化，最终导致屏幕的亮度色度都会产生严重的漂移" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "12", "type": "bibr", "rid": "R12", "data": [ { "name": "text", "data": "12" } ] } }, { "name": "text", "data": "," }, { "name": "xref", "data": { "text": "18", "type": "bibr", "rid": "R18", "data": [ { "name": "text", "data": "18" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "。而红、绿、蓝三基色的亮度对温度波动的敏感程度有很大的区别。综合日亚化学等测试的实验数据" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "19", "type": "bibr", "rid": "R19", "data": [ { "name": "text", "data": "19" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "，根据部分温度相对亮度的实验得出的结果得到各个基色不同温度条件的相对亮度如" }, { "name": "xref", "data": { "text": "表4", "type": "table", "rid": "T4", "data": [ { "name": "text", "data": "表4" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "table", "data": { "id": "T4", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "表4" } ], "title": [ { "name": "text", "data": "不同温度的LED管芯的相对亮度" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Tab.4" } ], "title": [ { "name": "text", "data": "Relative brightness of LED at different temperatures" } ] } ], "note": [], "table": [ { "head": [ [ { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "温度/℃" } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "蓝相对亮度" } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "绿相对亮度" } ] }, { "align": "center", "style": "border-top:solid;border-bottom:solid;", "data": [ { "name": "text", "data": "红相对亮度" } ] } ] ], "body": [ [ { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "-30" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0" } ] }, { "name": "p", "data": [ { "name": "text", "data": "25" } ] }, { "name": "p", "data": [ { "name": "text", "data": "60" } ] }, { "name": "p", "data": [ { "name": "text", "data": "80" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "1.01" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1.005" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.99" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.98" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "1.03" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1.02" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.94" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.905" } ] } ] }, { "align": "center", "style": "border-bottom:solid;", "data": [ { "name": "p", "data": [ { "name": "text", "data": "1.34" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1.155" } ] }, { "name": "p", "data": [ { "name": "text", "data": "1" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.765" } ] }, { "name": "p", "data": [ { "name": "text", "data": "0.63" } ] } ] } ] ], "foot": [] } ], "graphics": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031867&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031864&type=", "width": "77.69583130", "height": "30.28161621", "fontsize": "" } } }, { "name": "p", "data": [ { "name": "text", "data": "由于多项式拟合具有快速建模、数据量小、关系相对简单的优点，且亮度曲线相对简单并呈线性，所以本文优先选择用多项式进行曲线拟合。在25 ℃时，标定三基色相对亮度为1。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "温度对三基色亮度产生影响的程度是不同的。当温度改变时，红绿蓝三种颜色的亮度会随之变化。为了达到高精度的拟合要求，经过运算分析采用多项式：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（17）" } ], "data": [ { "name": "math", "data": { "math": "

f (x) = p_{n} x^{n} + p_{n - 1} x^{n - 1} + p_{n - 2} x^{n - 2} + . . . + p_{1} x^{1} + p_{0}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031875&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031871&type=", "width": "66.80200195", "height": "5.07999992", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF17" } }, { "name": "p", "data": [ { "name": "text", "data": "对" }, { "name": "xref", "data": { "text": "表4", "type": "table", "rid": "T4", "data": [ { "name": "text", "data": "表4" } ] } }, { "name": "text", "data": "中的数据进行拟合。根据曲线性质，对红蓝光进行" }, { "name": "italic", "data": [ { "name": "text", "data": "n" } ] }, { "name": "text", "data": "=1的多项式拟合，对绿光进行" }, { "name": "italic", "data": [ { "name": "text", "data": "n" } ] }, { "name": "text", "data": "=2的多项式拟合，其中红绿蓝拟合的误差平方和分别为1.593×10" }, { "name": "sup", "data": [ { "name": "text", "data": "-4" } ] }, { "name": "text", "data": "，3.048×10" }, { "name": "sup", "data": [ { "name": "text", "data": "-5" } ] }, { "name": "text", "data": "，2.302×10" }, { "name": "sup", "data": [ { "name": "text", "data": "-5" } ] }, { "name": "text", "data": "。" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（18）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} f_{R} (T) = \sum_{r = 0}^{1} m_{r} \cdot T^{r}, \"{\"\begin{matrix} m_{0} = 1.153 \\ m_{1} = - 6.463 \times 10^{- 3} \end{matrix}\"\" \\ f_{G} (T) = \sum_{g = 0}^{2} l_{g} \cdot T^{g}, \"{\"\begin{matrix} l_{0} = 1.02 \\ l_{1} = - 6.524 \times 10^{- 4} \\ l_{2} = - 1.017 \times 10^{- 5} \end{matrix}\"\" \\ f_{B} (T) = \sum_{b = 0}^{1} n_{b} \cdot T^{b}, \"{\"\begin{matrix} n_{0} = 1.004 \\ n_{1} = - 2.659 \times 10^{- 4} \end{matrix}\"\" \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031880&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031878&type=", "width": "61.55266953", "height": "33.78200150", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF18" } }, { "name": "p", "data": [ { "name": "text", "data": "从LED的亮度特性" }, { "name": "xref", "data": { "text": "图3", "type": "fig", "rid": "F3", "data": [ { "name": "text", "data": "图3" } ] } }, { "name": "text", "data": "可知，随着温度的变化，LED的三基色相对亮度的偏移状况差距很大。其中红色的亮度对温度最敏感，在温度为60 ℃时，红色相对亮度减少了23.5%；温度为-30 ℃时，红色相对亮度约增加34%。而绿色在-30~60 ℃范围内相对亮度变化为9%，蓝色在-30~60 ℃范围内相对亮度变化为2%。" } ] }, { "name": "fig", "data": { "id": "F3", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图3" } ], "title": [ { "name": "text", "data": "三基色相对亮度对温度变化拟合曲线" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.3" } ], "title": [ { "name": "text", "data": "Fitting curve of relative luminosity of three primaries to temperature change" } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031882&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031886&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031884&type=", "width": "69.01602173", "height": "65.37962341", "fontsize": "" } ] } } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "3.2　模型中白平衡点关于温度的变化情况" } ], "level": "2", "id": "s3b" } }, { "name": "p", "data": [ { "name": "text", "data": "当温度改变时，白平衡点在模型中的位置会随之漂移。为了得到温度波动对白平衡的亮度和色调的影响情况，本文设" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "′、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "′、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "′为该模型中随温度变化的量，其中" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "′、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "′、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "′与" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "关系为：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（19）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} C_{1}' (T) = C_{1} f_{1} (T) \\ C_{2}' (T) = C_{2} f_{2} (T) \\ C_{3}' (T) = C_{3} f_{3} (T) \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031890&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031888&type=", "width": "26.67000008", "height": "15.74800014", "fontsize": "" } } }, { "name": "text", "data": " ，" } ], "id": "DF19" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" }, { "name": "italic", "data": [ { "name": "text", "data": "f" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "（" }, { "name": "italic", "data": [ { "name": "text", "data": "T" } ] }, { "name": "text", "data": "）、 " }, { "name": "italic", "data": [ { "name": "text", "data": "f" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "（" }, { "name": "italic", "data": [ { "name": "text", "data": "T" } ] }, { "name": "text", "data": "）、 " }, { "name": "italic", "data": [ { "name": "text", "data": "f" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "（" }, { "name": "italic", "data": [ { "name": "text", "data": "T" } ] }, { "name": "text", "data": "）分别为红绿蓝基色的相对亮度对于温度波动的函数。带入公式（" }, { "name": "xref", "data": { "text": "8", "type": "disp-formula", "rid": "DF8", "data": [ { "name": "text", "data": "8" } ] } }, { "name": "text", "data": "）、（" }, { "name": "xref", "data": { "text": "9", "type": "disp-formula", "rid": "DF9", "data": [ { "name": "text", "data": "9" } ] } }, { "name": "text", "data": "）、（" }, { "name": "xref", "data": { "text": "10", "type": "disp-formula", "rid": "DF10", "data": [ { "name": "text", "data": "10" } ] } }, { "name": "text", "data": "）可以得到：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（20）" } ], "data": [ { "name": "math", "data": { "math": "

\"[\"\begin{matrix} X \\ Y \\ Z \end{matrix}\"]\" = \"[\"\begin{matrix} C_{1} f_{1} (T) x_{1} & C_{2} f_{2} (T) x_{2} & C_{3} f_{3} (T) x_{3} \\ C_{1} f_{1} (T) y_{1} & C_{2} f_{2} (T) y_{2} & C_{3} f_{3} (T) y_{3} \\ C_{1} f_{1} (T) z_{1} & C_{2} f_{2} (T) z_{2} & C_{3} f_{3} (T) z_{3} \end{matrix}\"]\" \"[\"\begin{matrix} R \\ G \\ B \end{matrix}\"]\"

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031894&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031892&type=", "width": "74.59133911", "height": "16.08666801", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF20" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（21）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} x_{L E D} = \frac{\sum_{j = 1}^{3} C_{j} f_{j} (T) x_{j} {I_{j}}_{1}}{\sum_{j = 1}^{3} (C_{j} f_{j} (T) x_{j} + C_{j} f_{j} (T) y_{j} + C_{j} f_{j} (T) z_{j}) {I_{j}}_{1}} \\ y_{L E D} = \frac{\sum_{j = 1}^{3} C_{j} f_{j} (T) y_{j} {I_{j}}_{1}}{\sum_{j = 1}^{3} (C_{j} f_{j} (T) x_{j} + C_{j} f_{j} (T) y_{j} + C_{j} f_{j} (T) z_{j}) {I_{j}}_{1}} \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031897&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031895&type=", "width": "71.71266174", "height": "39.36999893", "fontsize": "" } } }, { "name": "text", "data": " ，" } ], "id": "DF21" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（22）" } ], "data": [ { "name": "math", "data": { "math": "

Y_{L E D} = \sum_{j = 1}^{3} C_{j} f_{j} (T) y_{j} {I_{j}}_{1}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031901&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031899&type=", "width": "32.85066605", "height": "8.80533314", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF22" } }, { "name": "p", "data": [ { "name": "text", "data": "将" }, { "name": "xref", "data": { "text": "公式（18）", "type": "disp-formula", "rid": "DF18", "data": [ { "name": "text", "data": "公式（18）" } ] } }, { "name": "text", "data": "与" }, { "name": "italic", "data": [ { "name": "text", "data": "M" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "模型中所对应的" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "C" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "z" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "R" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "G" } ] }, { "name": "text", "data": "、" }, { "name": "italic", "data": [ { "name": "text", "data": "B" } ] }, { "name": "text", "data": "带入" }, { "name": "xref", "data": { "text": "公式（21）", "type": "disp-formula", "rid": "DF21", "data": [ { "name": "text", "data": "公式（21）" } ] } }, { "name": "text", "data": " ~（22）可以得到白平衡的温度波动的曲线簇[" }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "1" } ] }, { "name": "text", "data": "," }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "2" } ] }, { "name": "text", "data": "," }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "3" } ] }, { "name": "text", "data": "," }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "4" } ] }, { "name": "text", "data": "," }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "5" } ] }, { "name": "text", "data": "," }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "6" } ] }, { "name": "text", "data": "]，记作" }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] }, { "name": "text", "data": "，其亮度与温度变化的关系如" }, { "name": "xref", "data": { "text": "公式（23）", "type": "disp-formula", "rid": "DF23", "data": [ { "name": "text", "data": "公式（23）" } ] } }, { "name": "text", "data": "所示：" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（23）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} Y_{L * L E D} = \sum_{j = 0}^{2} c_{j} \cdot T^{j}, \\ L_{1} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.246 \times 10^{- 3} \\ c_{2} = - 6.502 \times 10^{- 6} \end{matrix}\"\" L_{2} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.257 \times 10^{- 3} \\ c_{2} = - 6.486 \times 10^{- 6} \end{matrix}\"\" \\ L_{3} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.248 \times 10^{- 3} \\ c_{2} = - 6.499 \times 10^{- 6} \end{matrix}\"\" L_{4} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.259 \times 10^{- 3} \\ c_{2} = - 6.482 \times 10^{- 6} \end{matrix}\"\" \\ L_{5} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.257 \times 10^{- 3} \\ c_{2} = - 6.483 \times 10^{- 6} \end{matrix}\"\" L_{6} : \"{\"\begin{matrix} c_{0} = 1.056 \\ c_{1} = - 2.268 \times 10^{- 3} \\ c_{2} = - 6.467 \times 10^{- 6} \end{matrix}\"\" \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031905&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031903&type=", "width": "69.68067169", "height": "53.84799957", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF23" } }, { "name": "p", "data": [ { "name": "text", "data": "其颜色坐标（" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "text", "data": "，" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "text", "data": "）随温度变化的偏移情况如" }, { "name": "xref", "data": { "text": "公式（24）", "type": "disp-formula", "rid": "DF25", "data": [ { "name": "text", "data": "公式（24）" } ] } }, { "name": "text", "data": "所示：" } ] }, { "name": "dispformula", "data": { "label": [], "data": [ { "name": "math", "data": { "math": "

x_{L * L E D} = \frac{\sum_{i = 0}^{2} a_{i} \cdot T^{i}}{\sum_{i = 0}^{2} b_{i} \cdot T^{i}}, y_{L * L E D} = \frac{\sum_{j = 0}^{2} c_{j} \cdot T^{j}}{\sum_{j = 0}^{2} b_{j} \cdot T^{j}}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031909&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031907&type=", "width": "55.45666885", "height": "18.71133423", "fontsize": "" } } } ], "id": "DF24" } }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（24）" } ], "data": [ { "name": "math", "data": { "math": "

\begin{array}{c} L_{1} : \"{\"\begin{matrix} a_{0} = 1.052 \\ a_{1} = - 4.255 \times 10^{- 3} \\ a_{2} = - 1.539 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.202 \\ b_{1} = - 6.820 \times 10^{- 3} \\ b_{2} = - 8.797 \times 10^{- 6} \end{matrix}\"\" \\ L_{2} : \"{\"\begin{matrix} a_{0} = 1.053 \\ a_{1} = - 4.280 \times 10^{- 3} \\ a_{2} = - 1.501 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.203 \\ b_{1} = - 6.857 \times 10^{- 3} \\ b_{2} = - 8.775 \times 10^{- 6} \end{matrix}\"\" \\ L_{3} : \"{\"\begin{matrix} a_{0} = 1.052 \\ a_{1} = - 4.256 \times 10^{- 3} \\ a_{2} = - 1.538 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.202 \\ b_{1} = - 6.825 \times 10^{- 3} \\ b_{2} = - 8.793 \times 10^{- 6} \end{matrix}\"\" \\ L_{4} : \"{\"\begin{matrix} a_{0} = 1.053 \\ a_{1} = - 4.281 \times 10^{- 3} \\ a_{2} = - 1.500 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.203 \\ b_{1} = - 6.862 \times 10^{- 3} \\ b_{2} = - 8.771 \times 10^{- 6} \end{matrix}\"\" \\ L_{5} : \"{\"\begin{matrix} a_{0} = 1.052 \\ a_{1} = - 4.258 \times 10^{- 3} \\ a_{2} = - 1.534 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.202 \\ b_{1} = - 6.834 \times 10^{- 3} \\ b_{2} = - 8.772 \times 10^{- 6} \end{matrix}\"\" \\ L_{6} : \"{\"\begin{matrix} a_{0} = 1.053 \\ a_{1} = - 4.282 \times 10^{- 3} \\ a_{2} = - 1.496 \times 10^{- 6} \end{matrix}\"\" \"{\"\begin{matrix} b_{0} = 3.203 \\ b_{1} = - 6.872 \times 10^{- 3} \\ b_{2} = - 8.749 \times 10^{- 6} \end{matrix}\"\" \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031911&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031910&type=", "width": "65.70133209", "height": "88.39199829", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF25" } }, { "name": "p", "data": [ { "name": "text", "data": "结合LED屏实际使用的场景温度，本文取" }, { "name": "italic", "data": [ { "name": "text", "data": "T" } ] }, { "name": "text", "data": "的范围为[-30,60]，在颜色空间里白平衡" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "w" } ] }, { "name": "text", "data": "随温度变化情况如" }, { "name": "xref", "data": { "text": "图4", "type": "fig", "rid": "F4", "data": [ { "name": "text", "data": "图4" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "fig", "data": { "id": "F4", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图4" } ], "title": [ { "name": "text", "data": "白平衡" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": "随温度变化的漂移情况" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.4" } ], "title": [ { "name": "text", "data": "Drift of white balance " }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "text", "data": " with temperature" } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031912&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031914&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031913&type=", "width": "79.75887299", "height": "56.56909180", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "在25 ℃白平衡亮度不发生偏移，颜色为标准D65白场。当温度升高时，白平衡坐标最大偏差Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=-0.026 2、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=-0.003 9、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=-0.102 9，白平衡亮度降低，色调偏蓝绿；当温度降低时，白平衡坐标最大偏差Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.034 3、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.000 2、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.118 6，白平衡亮度升高，色调偏红。随温度逐渐升高，白平衡点的运动轨迹为" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "w-30" } ] }, { "name": "text", "data": "-" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "w" } ] }, { "name": "text", "data": "-" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "w60" } ] }, { "name": "text", "data": "。" } ] }, { "name": "dispformula", "data": { "label": [ { "name": "text", "data": "（25）" } ], "data": [ { "name": "text", "data": "由于温度波动曲线是点随温度变化的轨迹，所以这里引用轨迹重复性来计算轨迹簇中各个轨迹的一致程度。轨迹重复性" }, { "name": "sup", "data": [ { "name": "text", "data": "[" }, { "name": "xref", "data": { "text": "20", "type": "bibr", "rid": "R20", "data": [ { "name": "text", "data": "20" } ] } }, { "name": "text", "data": "]" } ] }, { "name": "text", "data": "可以表示为：" }, { "name": "math", "data": { "math": "

\begin{array}{c} R T_{P} = m a x [\bar{l_{i}} + 3 {S_{l}}_{i}] i = 1, \dots, m \\ \bar{l_{i}} = \frac{1}{n} \sum_{j = 1}^{n} l_{i j} \\ {S_{l}}_{i} = \sqrt[]{\frac{{\sum_{j = 1}^{n} (l_{i j} - \bar{l_{i}})}^{2}}{n - 1}} \\ l_{i j} = \sqrt[]{(x_{i j} {- \bar{x_{i}})}^{2} + (y_{i j} {- \bar{y_{i}})}^{2} + (z_{i j} {- \bar{z_{i}})}^{2}} \end{array}

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031916&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031915&type=", "width": "67.47933960", "height": "38.35400009", "fontsize": "" } } }, { "name": "math", "data": { "math": "

", "graphicsData": { "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031918&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031917&type=", "width": "0.84666669", "height": "0.93133330", "fontsize": "" } } }, { "name": "text", "data": "，" } ], "id": "DF26" } }, { "name": "p", "data": [ { "name": "text", "data": "其中" }, { "name": "italic", "data": [ { "name": "text", "data": "n" } ] }, { "name": "text", "data": "代表轨迹条数，" }, { "name": "italic", "data": [ { "name": "text", "data": "m" } ] }, { "name": "text", "data": "代表曲线上的采样点数量。如" }, { "name": "xref", "data": { "text": "图5", "type": "fig", "rid": "F5", "data": [ { "name": "text", "data": "图5" } ] } }, { "name": "text", "data": "所示，其中黑色曲线表示这一簇曲线的平均水平，把它作为中心线，" }, { "name": "italic", "data": [ { "name": "text", "data": "RT" }, { "name": "sub", "data": [ { "name": "text", "data": "Pi" } ] } ] }, { "name": "text", "data": "为正交平面上集群中心线上圆的半径。" } ] }, { "name": "fig", "data": { "id": "F5", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图5" } ], "title": [ { "name": "text", "data": "白平衡漂移曲线簇" }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.5" } ], "title": [ { "name": "text", "data": "White balance drift curve cluster " }, { "name": "italic", "data": [ { "name": "text", "data": "L" } ] }, { "name": "sup", "data": [ { "name": "text", "data": "*" } ] } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031920&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031922&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031921&type=", "width": "75.63879395", "height": "56.99139404", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "设置" }, { "name": "italic", "data": [ { "name": "text", "data": "n" } ] }, { "name": "text", "data": "=6，" }, { "name": "italic", "data": [ { "name": "text", "data": "m" } ] }, { "name": "text", "data": "=300，根据轨迹方程公式（" }, { "name": "xref", "data": { "text": "23", "type": "disp-formula", "rid": "DF23", "data": [ { "name": "text", "data": "23" } ] } }, { "name": "text", "data": "）、（" }, { "name": "xref", "data": { "text": "24", "type": "disp-formula", "rid": "DF25", "data": [ { "name": "text", "data": "24" } ] } }, { "name": "text", "data": "）和" }, { "name": "xref", "data": { "text": "公式（25）", "type": "disp-formula", "rid": "DF26", "data": [ { "name": "text", "data": "公式（25）" } ] } }, { "name": "text", "data": "计算得到" }, { "name": "italic", "data": [ { "name": "text", "data": "RT" }, { "name": "sub", "data": [ { "name": "text", "data": "P" } ] } ] }, { "name": "text", "data": "=1.905×10" }, { "name": "sup", "data": [ { "name": "text", "data": "-4" } ] }, { "name": "text", "data": "，表示所有轨迹计算的在正交平面上且圆心在集群中心线上圆的半径的最大值为1.905×10" }, { "name": "sup", "data": [ { "name": "text", "data": "-4" } ] }, { "name": "text", "data": "，则该轨迹簇的距中心轨迹的误差" }, { "name": "italic", "data": [ { "name": "text", "data": "δ" } ] }, { "name": "text", "data": "<" }, { "name": "text", "data": "0.000 2，表明在允许误差" }, { "name": "italic", "data": [ { "name": "text", "data": "δ" } ] }, { "name": "text", "data": "<" }, { "name": "text", "data": "0.000 2的范围内，中心线可以代表这一簇曲线。实际上，根据目前观察者的颜色分辨能力，该中心轨迹可以代表这一线簇。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "另外，黑体在不同温度下的变化轨迹如" }, { "name": "xref", "data": { "text": "图6", "type": "fig", "rid": "F6", "data": [ { "name": "text", "data": "图6" } ] } }, { "name": "text", "data": "所示，在绝对温度为6 500 K附近时，黑体所发出的光被定义为D65标准光源；当黑体温度不断升高时，它的最大光谱辐射功率随温度急剧上升，其最大功率部位向短波方向变化，红色波长的光逐渐减少，蓝色波长的光逐渐增多，黑体的发光颜色逐渐由红黄变成白最后变成蓝，其色坐标变化趋势如" }, { "name": "xref", "data": { "text": "图7", "type": "fig", "rid": "F7", "data": [ { "name": "text", "data": "图7" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "fig", "data": { "id": "F6", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图6" } ], "title": [ { "name": "text", "data": "LED显示模型中的黑体轨迹" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.6" } ], "title": [ { "name": "text", "data": "LED displays blackbody tracks in the model" } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031923&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031926&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031925&type=", "width": "74.42413330", "height": "58.97996521", "fontsize": "" } ] } }, { "name": "fig", "data": { "id": "F7", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图7" } ], "title": [ { "name": "text", "data": "白场温度漂移曲线与黑体在不同色温下的变化曲线在" }, { "name": "italic", "data": [ { "name": "text", "data": "xoy" } ] }, { "name": "text", "data": "平面下的投影" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.7" } ], "title": [ { "name": "text", "data": "Projection of white field temperature drift curve and black body change curve under different color temperatures on " }, { "name": "italic", "data": [ { "name": "text", "data": "xoy" } ] } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031928&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031932&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031930&type=", "width": "72.13601685", "height": "63.66931152", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "白场温度漂移曲线与黑体轨迹在" }, { "name": "italic", "data": [ { "name": "text", "data": "xoy" } ] }, { "name": "text", "data": "平面上的投影如" }, { "name": "xref", "data": { "text": "图7", "type": "fig", "rid": "F7", "data": [ { "name": "text", "data": "图7" } ] } }, { "name": "text", "data": "所示，红色曲线是白平衡的漂移曲线，蓝色曲线为黑体轨迹，两条曲线在D65点相交，并呈现一定角度。在研究过程中发现白场参数随温度变化情况同黑体轨迹的温度方向有一定趋同性：对于观察者来说，观察的是白场色温相关颜色的变化，同光波的光谱分布无关，因此本文发现，抛除温度的梯度差异，两者在D65中心的两侧表现出白场色温变化相似性。事实上，黑体色温变化同LED白场配平的原理基本不相关，然而产生这样的原因都是升温引起的红色光部分减弱造成的，在显示方向表现是完全一致的；不考虑深一层次的机理，本文发现的白场（白场中心也是根据黑体D65所定）色度变化与黑体温度趋势有一定相关性。" } ] } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "3. 3　结果验证" } ], "level": "2", "id": "s3c" } }, { "name": "p", "data": [ { "name": "text", "data": "为了更直观地观察颜色波动对亮度、色度的影响，本文采用白场与经典图片来进行温度波动对显示效果影响的仿真验证。通过改变温度分别模拟出不同温度下在" }, { "name": "italic", "data": [ { "name": "text", "data": "γ" } ] }, { "name": "text", "data": "值为2.79时显示屏对图片的显示情况。在温度取值范围-30~60 ℃内每隔一段距离分散地选取-30，0，25，60 ℃ 4个温度点进行结果模拟。" } ] }, { "name": "p", "data": [ { "name": "text", "data": "如" }, { "name": "xref", "data": { "text": "图8", "type": "fig", "rid": "F8", "data": [ { "name": "text", "data": "图8" } ] } }, { "name": "text", "data": "所示，在-30 ℃时，白场产生明显偏色，色调偏红；在0 ℃时，白场色调稍稍偏红；在25 ℃时，白场不发生偏色； 60 ℃时，白场产生明显偏色，色调偏蓝。" } ] }, { "name": "fig", "data": { "id": "F8", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图8" } ], "title": [ { "name": "text", "data": "（a）~（d）白场在-30，0，25，60 ℃时的仿真显示效果。" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.8" } ], "title": [ { "name": "text", "data": "（a）-（d）The simulation display effects of standard pictures at -30， 0， 25， 60 ℃ respectively." } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031935&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031944&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031938&type=", "width": "76.49707031", "height": "70.88356018", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "如" }, { "name": "xref", "data": { "text": "图9", "type": "fig", "rid": "F9", "data": [ { "name": "text", "data": "图9" } ] } }, { "name": "text", "data": "所示，根据" }, { "name": "xref", "data": { "text": "表4", "type": "table", "rid": "T4", "data": [ { "name": "text", "data": "表4" } ] } }, { "name": "text", "data": "改变不同温度下三基色的亮度配比，在-30 ℃时，经典图片的亮度整体变高，红色分量增多，蓝色分量和绿色分量减少；在0 ℃时，图片的亮度也整体较高，颜色稍稍偏红； 25 ℃时，图片的亮度色度不发生偏移； 60 ℃时，图片的亮度整体变低，红色分量减少，蓝色分量和绿色分量增多。除了白平衡点之外，色域模型中其他区域的点也会有相似的偏移规律，所以导致了图像色调的整体变化。" } ] }, { "name": "fig", "data": { "id": "F9", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图9" } ], "title": [ { "name": "text", "data": "（a）~（d）经典图片在-30，0，25，60 ℃时的仿真显示效果。" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.9" } ], "title": [ { "name": "text", "data": "（a）-（d）The simulation display effects of standard pictures at -30， 0， 25， 60 ℃ respectively." } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031946&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031951&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031949&type=", "width": "77.87408447", "height": "74.98522949", "fontsize": "" } ] } }, { "name": "p", "data": [ { "name": "text", "data": "本文继续进行了白场的高低温试验。我们将在25 ℃时色温约为6 500 K并显示白场的LED显示模组放入高低温试验箱内，调整试验箱温度，通过测温枪多次检测LED管芯周围温度使其达到-30，0，25，60 ℃时，记录白场显示情况，如" }, { "name": "xref", "data": { "text": "图10", "type": "fig", "rid": "F10", "data": [ { "name": "text", "data": "图10" } ] } }, { "name": "text", "data": "所示。" } ] }, { "name": "fig", "data": { "id": "F10", "caption": [ { "lang": "zh", "label": [ { "name": "text", "data": "图10" } ], "title": [ { "name": "text", "data": "（a）~（d）显示白场在-30，0，25，60 ℃时的LED实际显示效果。" } ] }, { "lang": "en", "label": [ { "name": "text", "data": "Fig.10" } ], "title": [ { "name": "text", "data": "（a）－（d）The actual display effect of LED at -30， 0， 25， 60 ℃ respectively." } ] } ], "subcaption": [], "note": [], "graphics": [ { "print": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031954&type=", "small": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031959&type=", "big": "http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=41031956&type=", "width": "70.07324219", "height": "70.12316895", "fontsize": "" } ] } } ] } ] }, { "name": "sec", "data": [ { "name": "sectitle", "data": { "title": [ { "name": "text", "data": "4　总　　结" } ], "level": "1", "id": "s4" } }, { "name": "p", "data": [ { "name": "text", "data": "本文主要研究了LED显示屏中白平衡显示亮度、色调等主要参数在温度改变时的漂移情况。根据色坐标对LED管芯进行分类统计建立LED显示色域模型；分析温度对红绿蓝芯片的亮度数据，计算得出了白平衡漂移的规律，得到各个坐标的温度偏差量，在-30~60 ℃的范围内，白平衡坐标最大偏差Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "x" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.060 5、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.004 1、Δ" }, { "name": "italic", "data": [ { "name": "text", "data": "Y" } ] }, { "name": "sub", "data": [ { "name": "text", "data": "max" } ] }, { "name": "text", "data": "=0.221 5；进一步讨论了温度变化对图像显示色调产生的影响，并进行了实验验证。实际上，其他非白平衡点受温度影响也有相似的变化规律。此外，通过比较发现，温度漂移曲线与黑体变化轨迹变化趋势相同。但是，本文并未重点关注这些温度漂移的规律，有待未来继续进行总结和验证。" } ] } ] } ], "footnote": [], "reflist": { "title": [ { "name": "text", "data": "参考文献" } ], "data": [ { "id": "R1", "label": "1", "citation": [ { "lang": "zh", "text": [ { "name": "text", "data": "罗涛" }, { "name": "text", "data": ". 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