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Color image modeling based on edge detection

In contrast to differential methods applied to monochromatic images, color edge detection, or multispectral differential methods, necessitates the development of edge operators which can be utilized to determine the presence of a color edge in a number of color spaces. Too often, flat-spaces are used even when the underlying color space is itself non-flat. This is clearly the case with the Hue-Saturation-Intensity (HSI) color space, which describes a complex manifold. Here we concentrate on and explore differential models of the HSI imagery from a differential-geometric viewpoint.