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Code Listing by Nikolai Chernov

Code 1-5 of 5   






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...



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...



This is a fast non-iterative ellipse fit, and among fast non-iterative ellipse fits this is the most accurate and robust.

It takes the xy-coordinates of data points, and returns the coefficients of the equation of the ellipse:



This is a fast and non-iterative ellipse fit.
Usage:

A = EllipseDirectFit(XY)

Input: XY(n,2) is the array of coordinates of n points
x(i)=XY(i,1), y(i)=XY(i,2)

Output: A = [a b c d e f]' is the vector...



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 V. Pratt in article "Direct least-squares fitting of algebraic surfaces", Computer...