Circle fitting using modified Coopes method

Version 1.0.0.0 (46.2 KB) by Daniel
Robust method for fitting a circle to data using Weighted Linear Least Squares.
0.0
(0)
980 Downloads
Updated 8 Mar 2013

View License

The included function 'ciclefit' estimates the radius and center of a circle represented by data-points.
This is achieved using a modified version of Coopes method(Coope, I. D.,Circle Fitting by Linear and Nonlinear Least Squares, 1993. http://link.springer.com/article/10.1007%2FBF00939613 ) which yields robust results comparable to the Total Least Squares approach while using only a (directly solvable) Linear Least Squares. It has been modified to use weights for the data points (thus using Weighted Linear Least Squares).

That modification has been added to enable a fast and robust estimate of the (causal) curvature of a given path.

Included is a quick demonstration (circfit_DEMO.m) that showcases general circle fitting and how to use that to estimate curvature.

Cite As

Daniel (2024). Circle fitting using modified Coopes method (https://www.mathworks.com/matlabcentral/fileexchange/40700-circle-fitting-using-modified-coopes-method), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

circfit/

Version Published Release Notes
1.0.0.0