Modelling peak shapes obtained by Hough transform

The paper studies peak shapes obtained when using the Hough transform. The work was motivated by the author´s finding that Hough transform peaks are sometimes sharper than a priori reasoning would suggest. A mathematical model for the simple case of circle detection has been able to explain this satisfactorily, but the detailed form of the model is somewhat surprising and suggests that high peak sharpness will be a common characteristic of Hough transform peaks.