Properties of color images of surfaces under multiple illuminants

We present a theoretical framework for object-based segmentation of color images that extracts the uniformly colored regions on an arbitrary surface all the points of which are exposed to the same set of light sources. This segmentation is a necessary stage before shape-from-shading processing. We introduce a consistent definition of rank and provide a complete classification of interactions among shape, surface color, and illumination. The proposed theory is an extension of known approaches.

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