二分法优化计算LED光源相关色温

色温和相关色温是LED光源的重要参量.从原始光谱数据到色品坐标(u,v)再到色温和相关色温的计算过程相当复杂,需要一种优化算法来简化计算量.因此,从色温的色度学定义出发,简要分析了直接内插法、逐点法和甬数曲线拟合法三种色温计算的经典算法,并分别指出了它们的优缺点,在此基础上提出了二分法这种新的色温优化算法.详细介绍了二分法的基本思想、程序流程等.利用软件编程实现这几种算法,通过普朗克黑体辐射公式计算得到一系列色温的理论光谱和白光LED仪器实际测试光谱,对比二分法和各种经典算法的速度和结果,证明了二分法是一种适合于计算机程序化实现的高精度高速度的色温算法.

Optimization Algorithm of Correlated Color Temperature for LED Light Sources by Dichotomy

Color temperature and correlated color temperature (CCT) are important parameters of the LED light sources. The procedure for calculating colorimetric parameters, such as color coordinates (u,v) and CCT from spectra data, is rather complicated. An advanced algorithm is necessary to simplify the computation. Based on the definition of chromaticity, the advantages and disadvantages of three classical CCT algorithms are analyzed, respectively, and a new dichotomy optimization algorithm is proposed, whose principle and procedure are illustrated in detail. By comparing the results of dichotomy with the other classical algorithms by Planck formula and actual white LEDs spectra, it is proved that the dichotomy is a CCT algorithm with higher accuracy and faster speed.