Least squares fitting of spheres and ellipsoids using not orthogonal distances (Q2746399)

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scientific article; zbMATH DE number 1655912
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Least squares fitting of spheres and ellipsoids using not orthogonal distances
scientific article; zbMATH DE number 1655912

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    9 June 2002
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    least squares fitting
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    ellipsoid
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    sphere
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    computational geometry
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    numerical examples
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    Least squares fitting of spheres and ellipsoids using not orthogonal distances (English)
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    The author obtains estimates of the parameters of a sphere or an ellipsoid represented by the canonical parametric forms when the measured data points \((x_k,y_k,z_k)\) in space are given and also associated with measured angles \((u_k,v_k)\), \(k=1,\dots,n > 8.\) Numerical examples are given and generalizations are discussed.
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