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Munsell reflectance spectra represented in three‐dimensional Euclidean space
Author(s) -
Romney A. Kimball,
Indow Tarow
Publication year - 2003
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.10144
Subject(s) - basis (linear algebra) , euclidean space , representation (politics) , euclidean geometry , euclidean distance , space (punctuation) , mathematics , set (abstract data type) , reflectivity , pattern recognition (psychology) , artificial intelligence , combinatorics , computer science , geometry , physics , optics , politics , political science , law , programming language , operating system
Abstract In this article we describe the results of an investigation into the extent to which the reflectance spectra of 1269 matt Munsell color chips are well represented in low dimensional Euclidean space. We find that a three dimensional Euclidean representation accounts for most of the variation in the Euclidean distances among the 1269 Munsell color spectra. We interpret the three dimensional Euclidean representation of the spectral data in terms of the Munsell color space. In addition, we analyzed a data set with a large number of natural objects and found that the spectral profiles required four basis factors for adequate representation in Euclidean space. We conclude that four basis factors are required in general but that in special cases, like the Munsell system, three basis factors are adequate for precise characterization. © 2003 Wiley Periodicals, Inc. Col Res Appl, 28, 182–196, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/col.10144