基于混合多项式法计算光源相关色温及色偏差  

Calculation of Correlated Color Temperature and Color Deviation of Light Source Based on Hybrid Polynomial Method

作　　者：高程 李月 李长军 Gao Cheng;LiYue;Li Changjun(School of Electronic and Information Engineering,University of Science and Technology LiaoNing,Ayishan,Liaoning 114051,China;School of Computer Science and Software Engineering,University of Science and Technology LiaoNing,Anshan,Liaoriing 114051,China)

机构地区：[1]辽宁科技大学电子与信息工程学院,辽宁鞍山114051 [2]辽宁科技大学计算机与软件工程学院,辽宁鞍山114051

出　　处：《光学学报》2022年第5期257-264,共8页Acta Optica Sinica

基　　金：国家自然科学基金(61775169);辽宁省教育厅基金(LJKQZ2021127);辽宁科技大学研究生教育改革与科技创新创业项目(LKDYC202103)。

摘　　要：由于光源的相关色温与色偏差计算一直是备受研究者们关注的问题,故提出了一种基于三角形法、抛物线法和三次多项式法的高效混合光源相关色温与色偏差计算方法。在色温为2000~20000 K, 1 K步长的18001条等温线上,并在色偏差范围为-0.03~0.03内以0.015间隔选取90005个测试样本,测试并比较了所提方法、Ohno方法与Robertson方法的精确度。测试结果表明,所提方法的性能优于Ohno方法与Robertson方法,且其色温和色偏差的最大绝对误差分别为0.3858 K和3.33×10^(6),故所提方法可被直接用于LED光谱优化与设计中。Since the calculation of correlated color temperature and color deviation of light source has always been the focus of researchers, an efficient hybrid method based on triangle method, parabolic method, and third-order polynomial method for calculating correlated color temperature and color deviation of light source is proposed. The accuracy of the proposed method is tested and compared with that of Ohno and Robertson methods by using 90005 data sampled from 18001 isotemperature lines with colour temperature between 2000 K and 20000 K at 1 K step, and color deviation between-0.030 and 0.030 at 0.015 step. The test results show that the proposed method is better than Ohno and Robertson methods with maximum absolute difference of correlated color temperature being less than 0.3858 K and maximum absolute difference of color deviation being less than 3.33×10;respectively, so it can be directly used in LED spectrum optimization and design.

关 键 词：颜色 相关色温 色偏差 查找表 三次多项式法 三角形法 抛物线法 

分 类 号：O432.3[机械工程—光学工程]