一种计算色度学三刺激值加权表的新方法

三刺激值计算是求取各种色度量的基础。首先回顾了国际照明委员会三刺激值的基本定义及其数值计算方法；其次简单描述和分析了相关工业界常用的三种ASTM加权表及Venable最优加权表；最后，基于Venable的工作，从减小光谱反射比测量误差的影响出发，提出了一种在形式上不同于Venable的最优加权系数选择准则，给出了一种新的计算最优加权表的方法。该方法与现有的计算加权表方法相比，具有不需要通过迭代求解、易于程序设计从而比较简单且有可能作为标准方法予以推广应用等特点。数值仿真表明用此方法计算的加权表较ASTM三种加权表更准确。可以期望，给出的计算最优加权表的方法将会广泛应用于相关工业领域。

A Simple Method for Computing Optimum Weighting Table for Colorimetric Tristimulus Integration

The computation of tristimulus values is a basic step for obtaining various colourimetric quantities. Firstly, the definition of CIE tristimulus values and their numerical computation methods are reviewed. Secondly, three types of ASTM weighting tables used in industrial applications and Venable optimum weighting tables are briefly described and discussed. Finally, based on the work of Venable, a criterion different from that of Venable's in form for determining the optimum weighting factors to minimize the influence of errors in measurement of spectral reflectance is proposed, and a new and simple method for computing the optimum weighting table is given. The new method is simpler and easier to program and thus is possible to be used as a standard method, as compared with other existing weighting tables. Numerical simulation results show that the tristimulus values computed by using the method proposed are closest to the CIE definition compared with those computed by using the three types of ASTM weighting tables. Therefore, it is expected that the new method for computing weighting tables will find wide industrial applications.