Saturation, Heu, And Normalized Color: Calculation, Digitization Effects, and Use.

Abstract

Three transformations used in the analysis of tricolor natural scenes are analyzed. All have nonremovable singularities, near which they are highly unstable. Given digital input, the distribution of their transformed balues is highly nonuniform, characterized by spurious modes and gaps. These effects are quantified and illustrated. In addition, a significantly faster algorithm for hue is derived. Image segmentation techniques of edge detection, region growing cluster, and region splitting are affected arbitrarily badly by such problems. Some stratagems are illustrated that help minimize the bad behavior. Linear transformations are presented as a generally favorable alternative to these three nonlinear ones. (Author)