The location of optimal object colors with more than two transitions. Issue 6 (24th May 2021)

• Record Type: Journal Article
• Authors: Burns, Scott A.
• Is Part Of: Color research & application. Volume 46:Issue 6(2021)
• Page Start: 1180
• Page End: 1193
• Publication Date: 2021-05-24
• Subjects: color‐matching functions -- linear programming -- MacAdam limits -- optimal object colors -- Schrödinger colors; Color -- Periodicals; 535
• DOI: 10.1002/col.22693
• Languages: English
• ISSNs: 0361-2317

Abstract

Abstract: The chromaticity diagram associated with the 1931 2° CIE color‐matching functions is shown to be slightly non‐convex. While having no impact on practical colorimetric computations, the non‐convexity does have a significant impact on the shape of some optimal object color reflectance distributions located on the outer surface of the object color solid. Instead of the usual two‐transition Schrödinger form, many optimal colors exhibit higher transition counts. A linear programming formulation is developed and is used to locate where these higher‐transition optimal object colors reside on the object color solid surface. The regions of higher‐transition count appear to have a point‐symmetric, complementary structure. The high‐transition behavior is shown to be largely absent in more modern color‐matching functions, such as the recent "physiologically‐relevant" color‐matching functions transformed from cone fundamentals.