Abstract
Fitting circles and spheres to given data in \(\mathbb{R}^2 {\text{or}}\mathbb{R}^3 \) is at least relevant in computational metrology (Ref. 1) and reflectrometry (Ref. 2). A new descent algorithm, developed for circles in Ref. 3, is generalized to spheres. Numerical examples are given.
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References
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Späth, H. Least-Square Fitting with Spheres. Journal of Optimization Theory and Applications 96, 191–199 (1998). https://doi.org/10.1023/A:1022675403441
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DOI: https://doi.org/10.1023/A:1022675403441