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.
The implemented methods are described in Kesäniemi-Virtanen, "Direct Least Square Fitting of Hyperellipsoids", IEEE Transactions on Pattern Analysis and Machine Intelligence.
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.
Martti K (2021). hyperellipsoidfit (https://www.mathworks.com/matlabcentral/fileexchange/59186-hyperellipsoidfit), MATLAB Central File Exchange. Retrieved .
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