A New Definition of the Hough Transform

This paper’s main contributions are three-fold. Firstly, it is shown that the two existing template matching-like definitions of the Hough transform in the literature are inadequate. Secondly, an, inherent probabilistic aspect of the Hough transform embedded in the transformation process from image space to parameter space is clarified. Thirdly, a new definition of the Hough transform is proposed which takes into account both the intersection scheme between the mapping curve (or mapping surface) and accumulator cells and the inherent probabilistic characteristics.