Metamer mismatch volume calculation method based on high-dimensional spherical sampling

The metamer mismatch volume has important applications in color correction, camera design, and light source design. The method based on spherical sampling to calculate the metamer mismatch volume has a long computation time, a large number of duplicated boundary points, too few effective vertices, and the dimension of its metamer set will appear lower than the theoretical dimension. In this paper, we propose a high-dimensional spherical sampling method that samples the metamer set directly, and find all boundary points by selecting direction vectors and polarizing all directions. The experimental results show that our method improves the above problems, the computational speed is faster, the computational results are close, the repetition rate of boundary points is greatly reduced, and the actual dimensionality of the corresponding metamer set is consistent with the theoretical dimensionality.