# Spherical sampling methods for the calculation of metamer mismatch volumes

arXiv: https://arxiv.org/abs/1901.08419 · HTML: https://mlsanity.com/paper/1901.08419/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2019.

## Built on by (most cited first, 1 of 1)

- [The Location of Optimal Object Colors with More Than Two Transitions (Preprint)](https://mlsanity.com/paper/2103.06997/) (2021)

## Abstract (arXiv)

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.