Circle fit

Version 1.0.0.0 (1.83 KB) by Izhak Bucher

Fit a circle to a set of measured x,y points.

4.4

(25)

28.8K Downloads

Updated 29 Jul 2004

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Editor's Note: This file was selected as MATLAB Central Pick of the Week

Revival of a 14 years old code (written in 1991 for MATLAB 2.x).

Given a set of measured x,y pairs that a re supposed to reside on a circle, but with some added noise. A circle to these points, i.e. find xc,yc,R, such that (x-xc)^2+(y-yc)^2=R^2

The method minimizes the sum of squared radial deviations.

Cite As

Izhak Bucher (2026). Circle fit (https://www.mathworks.com/matlabcentral/fileexchange/5557-circle-fit), MATLAB Central File Exchange. Retrieved January 14, 2026.

MATLAB Release Compatibility

Created with R10

Compatible with any release

Platform Compatibility

Windows macOS Linux

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Acknowledgements

Inspired: Ellipse Fit, Circle Fit (Kasa method), Circle Fit (Pratt method), Circle Fit (Taubin method), Aquiles, Fast Circle fitting using Landau method, DiffractIndex, Best fit 3D circle to a set of points

Version	Published	Release Notes
1.0.0.0	29 Jul 2004		Download