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A set of Matlab algorithms to fit ellipses (2D) and ellipsoids (3D).
License: GNU General Public License v3.0
This project forked from pierre-weiss/fitellipsoid
A set of Matlab algorithms to fit ellipses (2D) and ellipsoids (3D).
License: GNU General Public License v3.0
This toolbox contains a set of functions to fit ellipses or ellipsoids algebraically. The algorithms are described precisely in FitEllipsoid: a user-friendly supervised segmentation plugin. Jérôme Fehrenbach, Bastien Kovac & Pierre Weiss Preprint, February 2017. Detailed contents: Fitting ellipses in 2D: - function [q,CF,A,b,c]=Ellipse_Fitting_DR(x,nit) Approach proposed in the paper. Not affine invariant. - function [q,CF,A,b,c]=Ellipse_Fitting_DR_SVD(x,nit) Approach proposed in the paper. Affine invariant. - function [q,A,b,c]=Ellipse_Fitting_LLS(x) Approach of Fitzgibbons etal. Not affine invariant. - function [q,A,b,c]=Ellipse_Fitting_LLS_SVD(x) Approach of Fitzgibbons etal. Affine invariant. - function [q,A,b,c]=Ellipse_Fitting_ALS(x,sigma) Approach of Kukush etal. Similar to LLS, but consistent when additional noise is added. Fitting ellipsoids in 3D: - function [q,CF,A,b,c]=Ellipsoid_Fitting_DR(x,nit) Approach proposed in the paper. Not affine invariant. - function [q,CF,A,b,c]=Ellipsoid_Fitting_DR_SVD(x,nit) Approach proposed in the paper. Affine invariant. - function [q,A,b,c]=Ellipsoid_Fitting_LLS(x) Approach of Fitzgibbons etal. Not affine invariant. - function [q,A,b,c]=Ellipsoid_Fitting_LLS_SVD(x) Approach of Fitzgibbons etal. Affine invariant. Test: - XP_CompareMethods_paper: A script to reproduce the experiments that compare the different approaches in 2D. Additional tools: - function DisplayEllipse(Rx,Ry,q,col) Displays an ellipse given as an implicit equation through a vector q. - function DisplayEllipsoid(Rx,Ry,Rz,q,col) Displays an ellipsoid given as an implicit equation through a vector q.
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