For any given set of light sources stimulating the photoreceptors of the retina, the theoretical levels of illumination producing the smallest and the largest expression of one photoreceptor with fixed stimulation for the others are analytically computed. The cases of four, five, and more light sources are studied. We show that, for contrast optimization, only as many light sources as photoreceptors do matter and that, in the case of four light sources, the maximum contrast achievable for melanopsin lies at the intersection of the lines joining the sources in the CIE xy chromaticity diagram. This result is used to obtain the optimal position of four Gaussian primaries of equal bandwidth. In addition, we derive a procedure to construct level maps for melanopsin contrast overlying the diagram. In the second part of the paper, the interpersonal variability of the perceived stimulation is shown to be globally reduced if the bandwidth of the light sources is increased and, under some assumptions, if a light source is added.

中文翻译：

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无声替代的最大可能对比度水平：应用于黑视蛋白刺激的理论模型

对于刺激视网膜光感受器的任何给定光源组，分析计算产生一个光感受器的最小和最大表达的理论照明水平，而对其他光感受器具有固定刺激。研究了四个、五个和更多光源的情况。我们表明，对于对比度优化，只有与感光器一样多的光源才重要，并且在四个光源的情况下，黑视蛋白可实现的最大对比度位于 CIE xy 色度图中连接光源的线的交点处. 该结果用于获得四个等带宽的高斯原色的最佳位置。此外，我们推导出了一个程序来构建覆盖图的黑视素对比度水平图。在论文的第二部分，