The chromaticity diagram associated with the 1931 2° CIE color-matching functions is shown to be slightly non-convex. While having no impact on practical colorimetric computations, the non-convexity does have a significant impact on the shape of some optimal object color reflectance distributions located on the outer surface of the object color solid. Instead of the usual two-transition Schrödinger form, many optimal colors exhibit higher transition counts. A linear programming formulation is developed and is used to locate where these higher-transition optimal object colors reside on the object color solid surface. The regions of higher-transition count appear to have a point-symmetric, complementary structure. The high-transition behavior is shown to be largely absent in more modern color-matching functions, such as the recent “physiologically-relevant” color-matching functions transformed from cone fundamentals.

中文翻译：

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具有两个以上过渡的最佳对象颜色的位置

与 1931 2° CIE 颜色匹配函数相关的色度图显示为略微非凸面。虽然对实际的比色计算没有影响，但非凸性确实对位于物体颜色实体外表面上的一些最佳物体颜色反射分布的形状有显着影响。与通常的两个过渡薛定谔形式不同，许多最佳颜色表现出更高的过渡计数。开发了一个线性规划公式，并用于定位这些更高过渡的最佳对象颜色在对象颜色实体表面上的位置。过渡计数较高的区域似乎具有点对称的互补结构。在更现代的色彩匹配功能中，高过渡行为基本上不存在，