Spherical sampling methods for the calculation of metamer mismatch volumes

Michal Mackiewicz, Hans Jakobs Rivertz, Graham Finlayson

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
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Abstract

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.
Original languageEnglish
Pages (from-to)96-104
Number of pages9
JournalJournal of the Optical Society of America A
Volume36
Issue number1
Early online date28 Nov 2018
DOIs
Publication statusPublished - Jan 2019

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