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Circle Fit (Taubin method)

4.8 | 8 ratings Rate this file 34 Downloads (last 30 days) File Size: 2.24 KB File ID: #22678 Version: 1.0
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Circle Fit (Taubin method)


Nikolai Chernov (view profile)


Fits a circle to a set of data points on a plane; returns the circle center (a,b) and radius R.

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File Information

This is a robust and accurate circle fit. It works well even if data
points are observed only within a small arc. This circle fit was
proposed by G. Taubin in article "Estimation Of Planar Curves, Surfaces And Nonplanar Space Curves Defined By Implicit Equations, With Applications To Edge And Range Image Segmentation", IEEE Trans. PAMI, Vol. 13, pages 1115-1138, (1991). It is more stable than the simple Circle Fit by Kasa (files
#5557 and #22642) and slightly faster than Circle Fit by Pratt (file #22643).


Circle Fit inspired this file.

This file inspired Frenet Robust.Zip.

MATLAB release MATLAB 6.0 (R12)
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Comments and Ratings (8)
22 Apr 2016 Russ

Russ (view profile)

14 May 2015 Anton Jigalin

19 Apr 2013 Marta

Marta (view profile)

Can anyone help me with using this function in the Curve Fitting App ? I need to get Goodness of Fit and RSME values..

04 May 2012 Pascal

Pascal (view profile)

Nice ! Would be nice to input sigma error on data points and output resulting error on center and radius.

01 Dec 2011 David

David (view profile)

09 Aug 2011 jinrong

02 Jul 2010 Manuel Lopes

Works nicely, can be easily extended to 3D data.

%project 3D data to a plane
XYp = U'*XYr;

Pare = CircleFitByTaubin(XYp(1:2,:)')

%estimated center
UU = U * [Pare(1:2)';0];
%estimated radius
RR = Pare(end);

23 Dec 2009 Scott Graybill

Nice function. Very clean and easily implemented in any language. Was wondering if it could be extended to a sphere. I can't follow how you wrote the function from the article (G. Taubin, 1991)

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