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On analytical versus numerical integration in tristimulus calculations
Author(s) -
Fairman Hugh S.
Publication year - 1983
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.5080080411
Subject(s) - standard illuminant , radiance , linear interpolation , interpolation (computer graphics) , simple (philosophy) , mathematics , observer (physics) , linear equation , mathematical analysis , computer science , optics , physics , artificial intelligence , image (mathematics) , quantum mechanics , philosophy , epistemology , polynomial
If one assumes that the CIE recommendations for linear interpolation of illuminant and observer data between unit nanometers define these data as analytical functions, and accepts similar linear interpolation of the spectral radiance factor, an analytical equation can be derived for calculating tristimulus values. This article shows that, even in extreme cases, use of this more complex equation gives results that are not significantly different from those obtained by simple summation.