Least-Squares B-Spline Curve Approximation with Arbitary End Derivatives |
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| Authors: | LA Piegl W Tiller |
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| Affiliation: | (1) Department of Computer Science & Engineering, University of South Florida, Tampa, US;(2) Geom Ware, Inc., Tyler, TX, USA, US |
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| Abstract: | An algorithm for least-squares approximation of data with end derivative constraints is presented. The approximating curve
minimises the error in the least-squares sense, while at the same time assumes the derivatives specified. For degree p approximation,
up to p 2 1 derivatives may be specified, resulting in C p−1 continuous curve approximants. The method is useful to piece
individual curve segments together, or to create closed curves with various degrees of smoothness. |
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| Keywords: | , Algorithms, B-splines, Curves and surfaces, Data approximation |
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