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Parametrization of randomly measured points for least squares fitting of \(B\)-spline curves and surfaces - MaRDI portal

Parametrization of randomly measured points for least squares fitting of \(B\)-spline curves and surfaces (Q1902436)

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scientific article; zbMATH DE number 818594
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English
Parametrization of randomly measured points for least squares fitting of \(B\)-spline curves and surfaces
scientific article; zbMATH DE number 818594

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    Parametrization of randomly measured points for least squares fitting of \(B\)-spline curves and surfaces (English)
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    29 April 1996
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    The authors discuss the determination of parameter values of digitized points in order to perform least squares fitting of \(B\)-spline curves and surfaces when the measured points are irregularly spaced [cf. \textit{E. T. Y. Lee}, Comput.-Aided Des. 21, No. 6, 363-370 (1989; Zbl 0675.65002)]. The method provided here applies equally well to the least squares fitting of nonuniform rational \(B\)-spline (NURBS) curves and surfaces.
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    parametrization
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    interpolation
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    nonuniform rational \(B\)-spline curves and surfaces
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    least squares fitting
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    \(B\)-spline curves and surfaces
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