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Circle Fit (Kasa method)

by Nikolai Chernov

 

10 Jan 2009

Fits a circle to a given set of planar points

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This file was selected as MATLAB Central Pick of the Week

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Description

This is the fastest (though not most accurate) method of fitting a circlle to data points on a plane (given by their xy-coordinates). It returns the circle center (a,b) and radius R. It was proposed by I. Kasa in article "A curve fitting procedure and its error analysis", IEEE Trans. Inst. Meas., Vol. 25, pages 8-14, (1976). Another version of this circle fit has been posted by Izhak Bucher (file 5557).

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Circle fit

MATLAB release MATLAB 6.0 (R12)
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Comments and Ratings (1)
28 Apr 2010 Cesar Roda Neve

Hi, does anyone knows how to adapt the Kasa, Pratt and Taubin method when the center coordinates are previously given? Or when just the y coordinate of the center is fixed previously?

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Tag Activity for this File
Tag Applied By Date/Time
statistics Nikolai Chernov 12 Jan 2009 16:11:15
optimization Nikolai Chernov 12 Jan 2009 16:11:15
image processing Nikolai Chernov 12 Jan 2009 16:11:15
regression Nikolai Chernov 12 Jan 2009 16:11:15
fitting curves Nikolai Chernov 12 Jan 2009 16:11:15
fitting curves Cristina McIntire 15 Jan 2009 13:04:58
probabilty Cristina McIntire 15 Jan 2009 13:04:58
optimization Cristina McIntire 15 Jan 2009 13:04:58
statistics Cristina McIntire 15 Jan 2009 13:04:58
image processing Cristina McIntire 15 Jan 2009 13:04:58
potw Shari Freedman 20 Apr 2009 12:42:32
pick of the week Jiro Doke 11 Feb 2011 20:12:37
fitting curves Chen 26 Sep 2011 14:50:37

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