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Volume: 19 | Article ID: art00034
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Intersecting Color Manifolds
  DOI :  10.2352/CIC.2011.19.1.art00034  Published OnlineJanuary 2011
Abstract

Logvinenko's color atlas theory provides a structure in which a complete set of color-equivalent material and illumination pairs can be generated to match any given input RGB color. In chromaticity space, the set of such pairs forms a 2-dimensional manifold embedded in a 4-dimensional space. For singleilluminant scenes, the illumination for different input RGB values must be contained in all the corresponding manifolds. The proposed illumination-estimation method estimates the scene illumination based on calculating the intersection of the illuminant components of the respective manifolds through a Hough-like voting process. Overall, the performance on the two datasets for which camera sensitivity functions are available is comparable to existing methods. The advantage of the formulating the illumination-estimation in terms of manifold intersection is that it expresses the constraints provided by each available RGB measurement within a sound theoretical foundation.

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Brian Funt, Hamidreza Mirzaei, "Intersecting Color Manifoldsin Proc. IS&T 19th Color and Imaging Conf.,  2011,  pp 166 - 170,  https://doi.org/10.2352/CIC.2011.19.1.art00034

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