The function HYPERELLIPSOIDFIT.M fits a quadratic surface to given n-dimensional data. It has been written especially for ellipsoid fitting purposes. It contains n-dimensional elaborations of several ellipse fitting methods, and includes a method that is guaranteed to produce an ellipsoidal solution in n-dimensional space regardless of the data. It includes also a regularization method that can be used to force the solutions towards spheres and to solve ill-posed fitting problems.
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The implemented methods are described in Kesäniemi-Virtanen, "Direct Least Square Fitting of Hyperellipsoids", IEEE Transactions on Pattern Analysis and Machine Intelligence.
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The other function in the package, DEMO.M, uses HYPERELLIPSOIDFIT function to illustrate the 3D results produced by various fitting methods with three different regularization parameter values.
引用
Martti K (2025). hyperellipsoidfit (https://www.mathworks.com/matlabcentral/fileexchange/59186-hyperellipsoidfit), MATLAB Central File Exchange. に取得済み.
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ヒントを得たファイル: Ellipsoid Fitting, Fitting quadratic curves and surfaces
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1.6.0.0 | Fixed a bug in input parameter handling, added possibility to get outputs as struct. |
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1.5.0.0 | Update for 2017b |
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1.2.0.0 | Fix to demo |
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