A revisit to least squares orthogonal distance fitting of parametric curves and surfaces

Authors:
Yang Liu;Wenping Wang
Affiliations:
Dept. of Computer Science, The University of Hong Kong, Hong Kong SAR, P.R. China;Dept. of Computer Science, The University of Hong Kong, Hong Kong SAR, P.R. China
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

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 (GTDMand CDM) are proposed. The geometric meanings of existing and modified optimization methods are also revealed.