A novel circle detection method using Radon transform

Honghong Peng; Raghuveer Rao

doi:10.1117/12.766036

26 February 2008 A novel circle detection method using Radon transform

Honghong Peng, Raghuveer Rao

Proceedings Volume 6813, Image Processing: Machine Vision Applications; 68130E (2008) https://doi.org/10.1117/12.766036
Event: Electronic Imaging, 2008, San Jose, California, United States

Abstract

A circle detection method utilizing Radon transform is proposed. In this paper, a closed form solution for the Radon transform of a circular structure is derived from the Radon transform of a round disk. Because the Radon transform of circle has the unique property of invariance to the angle change, a universal matched filter can be constructed from the Radon transform of circle. To detect if there is a circular structure of specific radius presented in the image, a pre-defined matched filter is applied to the Radon transform of the image at all angles and a circle presence intensity image is reconstructed from the filtering results through filtered back projection (FBP). By thresholding the circle presence intensity image, the presence and the location of the circle can be easily determined. The preliminary experimental results show that the proposed method is effective and has better signal to noise ratio in output compared to the typical Hough transform approach.

Citation Download Citation

Honghong Peng and Raghuveer Rao "A novel circle detection method using Radon transform", Proc. SPIE 6813, Image Processing: Machine Vision Applications, 68130E (26 February 2008); https://doi.org/10.1117/12.766036

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