2008 | OriginalPaper | Buchkapitel
A Revisit to Least Squares Orthogonal Distance Fitting of Parametric Curves and Surfaces
verfasst von : Yang Liu, Wenping Wang
Erschienen in: Advances in Geometric Modeling and Processing
Verlag: Springer Berlin Heidelberg
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Fitting of data points by parametric curves and surfaces is demanded in many scientific fields. In this paper we review and analyze existing least squares orthogonal distance fitting techniques in a general numerical optimization framework. Two new geometric variant methods (
and
) are proposed. The geometric meanings of existing and modified optimization methods are also revealed.