针对传统数学建模法无法实现CIELAB颜色信号向孟塞尔色序系统精确转换的问题，提出一种基于结构相似的分级转换算法。首先使用Pearson相关系数分析CIELAB颜色系统与孟塞尔色序系统间的结构关系，接着在此基础上采用分级转换的方式先后得到CIELAB颜色信号对应的孟塞尔明度V、色调 H 和彩度C 三色标，并在第二级转换求色标H时使用了一种多次插值求最小色差的新方法，以保证算法的计算精度。对2735组检验样本的测试结果表明，本文算法具有良好的计算精度和可靠性，并可被广泛应用于各类图像颜色信号处理系统中。
In order to solve the inaccuracy problem of traditional color-signal conversion methods from CIELAB space to Munsell system,a new hierarchical conversion algorithm based on structure correla-tion analysis was proposed.Firstly,this article evaluates the structure correlation between CIELAB space and Munsell system by using the Pearson coefficient.Then on the basis of structural correlation evaluation,this article uses a hierarchical conversion algorithm to get the corresponding Munsell V, H,and C color mark of the CIELAB color signal.In addition,the algorithm proposes a new method by choosing the nearest interpolation H values during the second conversion step to ensure the calcula-tion precision.The experimental results of 2 735 test samples show that the new algorithm has good calculation accuracy and reliability,and can be widely used in different kinds of color signal transmis-sion and image processing system.
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