CORDIC迭代法快速计算LED显示屏色域边界

邓意成; 王瑞光; 陈宇; 张鑫

doi:10.3788/fgxb20133404.0529

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CORDIC迭代法快速计算LED显示屏色域边界

发光学应用及交叉前沿 | 更新时间：2020-08-12

- CORDIC迭代法快速计算LED显示屏色域边界
- Rapid Calculation of LED Display Color Gamut Boundary Based on CORDIC Iteration Method
- 发光学报 2013年34卷第4期页码：529-534
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
  2. 中国科学院大学, 北京 100049
- 作者简介：
- 基金信息：
  
  吉林省重大科技成果转化项目(09ZDZH006)资助项目()
- DOI：10.3788/fgxb20133404.0529
  中图分类号： O432.3
- 收稿日期：2012-12-13，
  
  修回日期：2013-01-16，
  
  纸质出版日期：2013
- 稿件说明：
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邓意成, 王瑞光, 陈宇, 张鑫. CORDIC迭代法快速计算LED显示屏色域边界[J]. 发光学报, 2013,34(4): 529-534

DENG Yi-cheng, WANG Rui-guang, CHEN Yu, ZHANG Xin. Rapid Calculation of LED Display Color Gamut Boundary Based on CORDIC Iteration Method[J]. Chinese Journal of Luminescence, 2013,34(4): 529-534
邓意成, 王瑞光, 陈宇, 张鑫. CORDIC迭代法快速计算LED显示屏色域边界[J]. 发光学报, 2013,34(4): 529-534 DOI： 10.3788/fgxb20133404.0529.

DENG Yi-cheng, WANG Rui-guang, CHEN Yu, ZHANG Xin. Rapid Calculation of LED Display Color Gamut Boundary Based on CORDIC Iteration Method[J]. Chinese Journal of Luminescence, 2013,34(4): 529-534 DOI： 10.3788/fgxb20133404.0529.

摘要

针对色域映射过程中快速并精确地计算出任意映射线与色域边界交点坐标的问题

提出一种基于改进的CORDIC算法的迭代逼近求解方法。该方法利用CIE LUV 颜色空间的特性可沿映射线逼近边缘交点。无需边界搜索和插值计算过程

可大量节省存储器资源和计算时间

并具有较高的计算精度和广泛的适用性。文章详细分析了算法的计算原理、精度和速度

并以LED显示屏为例

在D65标准光源下进行边界拟合并做出误差分析。实验结果表明:12次迭代运算后

拟合边界非常光滑

最大色差值仅为0.16

计算500个映射线交点的总计算时间约为1 s。与插值类计算方法相比

最大色差值降低了2.15

计算时间从10 s降低到1 s

速度提高了近10倍。

Abstract

In order to solve the problem that it is hard to quickly and accurately calculate the coordinate of the intersecting point between the mapping line and the gamut boundary

an iterative calculation method based on improved CORDIC algorithm is proposed

which can approach to the intersection point. Using the characteristics of CIE LUV color space

this method can approach the point along the mapping line. It can save a lot of storage resources and computing time because it has no processes of boundary search and interpolation calculation. In addition

it has high calculation accuracy and wide applicability. This paper analyzes the calculation algorithm's principle

precision and speed. Boundary calculation and the error analysis have been made on D65 light LED display source. The experimental results show that the fitting boundary is very smooth after 12 iterations the and the maximum color difference is only 0.16. The total computing time spent by calculating 500 intersections of mapping lines is about 1 s. Comparing with the interpolation method

the maximum color difference decreases by 2.15

computing time reduced from 10 s to 1 s and calculation speed increased nearly 10 times.

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references

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