Circle location by moments

Authors:
Vivian Cho;Wm. Douglas Withers
Affiliations:
Department of Mathematics, United States Naval Academy;Department of Mathematics, United States Naval Academy and Accusoft Pegasus, Department of Mathematics, United States Naval Academy, Annapolis, MD
Venue:
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
Year:
2010

Citing 4
Cited 0

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Abstract

We present a method for locating circles in images based on the moment values of specially-constructed functions. Our approach differs from Hough-transform-type approaches in requiring no large accumulator array, searching operation, nor preliminary edge-detection step. It differs from previous work on curve location by moments by the existence of an explicit formula for the circle parameters and a theoretically proven guarantee of success. The moment approach is inherently robust with respect to blurriness, pixelization, or small-scale noise.