Determination of circular arc length and midpoint by Hough transform

We propose a method to detect circular arcs, including the determinations of their centers, radii, lengths, and midpoints. The center, radius of a circular arc can easily be determined using circular Hough transform. But, the determinations of the arc midpoint and length are more complicated. Theoretical analysis of the centroid of the near-peak Hough transform data is presented. Then, the arc midpoint and length can be extracted from it.<<ETX>>

[1]  Seiji Ishikawa,et al.  Symmetry Identification of a 3-D Object Represented by Octree , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  David P. Casasent,et al.  Extracting input-line position from Hough transform data. , 1991, Applied optics.

[3]  David Casasent,et al.  Curved object location by Hough transformations and inversions , 1987, Pattern Recognit..

[4]  Azriel Rosenfeld,et al.  Digital Picture Processing , 1976 .

[5]  E. Dubois,et al.  Digital picture processing , 1985, Proceedings of the IEEE.

[6]  Jack Sklansky,et al.  On the Hough Technique for Curve Detection , 1978, IEEE Transactions on Computers.

[7]  Makoto Nagao,et al.  On the relation between the Hough transformation and the projection curves of a rectangular window , 1987, Pattern Recognit. Lett..

[8]  Mohammed Atiquzzaman,et al.  Determination of line length using Hough transform , 1992 .

[9]  Christopher M. Brown Inherent Bias and Noise in the Hough Transform , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.