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CAT02 and HPE triangles
Author(s) -
Li Changjun,
Ji Changjie,
Luo Ronnier,
Melgosa Manuel,
Brill Michael H.
Publication year - 2015
Publication title -
color research and application
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.393
H-Index - 62
eISSN - 1520-6378
pISSN - 0361-2317
DOI - 10.1002/col.21859
Subject(s) - combinatorics , space (punctuation) , line (geometry) , image (mathematics) , mathematics , computation , physics , crystallography , geometry , computer science , algorithm , artificial intelligence , chemistry , operating system
Here, we investigated the CAT02 and HPE triangles in both x,y and u ′, v ′ spaces. It was found that in u ′, v ′ space, the HPE triangle is separated into two regions by the line 3u′ − 8v′ + 6 = 0, which is the u ′, v ′ image of X + Y + Z = 0 under the mapping from ( X , Y , Z ) to ( u ′, v ′). One of these two regions admits all‐positive R,G,B triplets and the other all‐negative R,G,B triplets, under the case of ( X + Y + Z ) > 0. The findings of this study explained the computation problems of CAT02 and provided methods for solving the Yellow‐Blue and Purple problems simultaneously. © 2013 Wiley Periodicals, Inc. Col Res Appl, 40, 30–39, 2015