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Geometry of color perception. Part 2: perceived colors from real quantum states and Hering's rebit

Authors :
Berthier, Michel
Mathématiques, Image et Applications - EA 3165 (MIA)
Université de La Rochelle (ULR)
Berthier, Michel
Publication Year :
2019
Publisher :
HAL CCSD, 2019.

Abstract

Inspired by the work of Resnikoff, which is described if full details in the first part of this two-part paper, we give a quantum description of the space P of perceived colors. We show that P is the effect space of a rebit, a real quantum qubit, whose state space S is isometric to the hyperbolic Klein disk K. This chromatic state space of perceived colors can be represented as a Bloch disk of real dimension 2 that coincides with the Hering disk given by the color opponency mechanism. Attributes of perceived colors, hue and saturation, are defined in terms of Von Neumann entropy.

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.dedup.wf.001..5d971337fa22b8a5fc2a80439dcb7ab7