Mathematical Transform Of (R, G, B) Color Data To Munsell (H, V, C) Color Data

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Abstract
In studying new-generation color image codings, it is very effective 1) to code signals in the space of inherent tri-attributes of human color perception, and 2) to relate a coding error with perceptual degree of deteriorations. For these purpose, we have adopted the Munsell Renotation System in which color signals of tri-attributes of human color perception (Hue, Value and Chroma) and psychometrical color differences are defined. In the Munsell Renotation System, however, intertransformation between (RGB) data and corresponding color data is very cumbersome. Because the intertransformation depends on a look up table. This article presents a new method of mathematical transformation. The mathematical transformation is obtained by multiple regression analysis of 250 color samples, which are uniformly sampled from whole color ranges that a conventional NTSC color TV camera can present. The new method can transform (RGB) data to the data of the Munsell Renotation System far better than the conventional method given by the CIE(1976)L*a*b*.

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