A zonohedral approach to optimal colours. Issue 2 (28th September 2011)

• Record Type: Journal Article
• Authors: Centore, Paul
• Is Part Of: Color research & application. Volume 38:Issue 2(2013:Apr.)
• Page Start: 110
• Page End: 119
• Publication Date: 2011-09-28
• Subjects: Color -- Periodicals; 535
• DOI: 10.1002/col.20713
• Languages: English
• ISSNs: 0361-2317

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>This article demonstrates that the CIE XYZ colour solid is a zonoid. An approximating zonohedral colour solid is constructed explicitly from a set of generating vectors, which are integrals of colour‐matching functions over narrow intervals of the visible spectrum. The zonohedral approach yields an intuitive, constructive proof of the Optimal Colour Theorem: the reflectance function of an optimal colour takes on only the values 0 or 1, with at most two transition wavelengths. In addition, zonohedral techniques can simplify computations: for example, optimal colours can be found without calculating transition wavelengths. Finally, zonohedra provide a simple, unified approach to colour space and eliminate much of the confusion arising from chromaticity diagrams. © 2011 Wiley Periodicals, Inc. Col Res Appl, 2013</p> </abstract>