Inherent Bias and Noise in the Hough Transform

Abstract

Considering the Hough transformation as a linear imaging process recasts certain well-known problems, provides a useful vocab-ulary, and possibly indicates a source of applicable literature on the behavior of the Hough transformation in various forms of noise. A consideration of the analytic form of peaks in parameter space sets the stage for the idea of using complementary (negative) votes to cancel off-peak positive votes in parameter space, thus sharpening peaks and reducing bias.