Spherical sampling methods for the calculation of metamer mismatch volumes
This work addresses a specific problem in color science for researchers and practitioners, offering incremental improvements over existing methods.
The paper tackled the problem of calculating theoretically maximal metamer mismatch volumes without assumptions on spectral shape, proposing two spherical sampling methods: one using linear programming and another based on computational geometry. The result showed that under certain conditions, the maximal volume is significantly larger than prior approximations.
In this paper, we propose two methods of calculating theoretically maximal metamer mismatch volumes. Unlike prior art techniques, our methods do not make any assumptions on the shape of spectra on the boundary of the mismatch volumes. Both methods utilize a spherical sampling approach, but they calculate mismatch volumes in two different ways. The first method uses a linear programming optimization, while the second is a computational geometry approach based on half-space intersection. We show that under certain conditions the theoretically maximal metamer mismatch volume is significantly larger than the one approximated using a prior art method.