Knot removal for parametric B-spline curves and surfaces |
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| Affiliation: | 1. Department of Numerical Analysis, Eötvös L. University, Budapest 1117, Hungary;2. Institue of Signal Processing, Johannes Kepler University Linz, Linz 4040, Austria;3. Eötvös L. University, Budapest 1117, Hungary;1. Department of Economics and Statistics, University of Naples Federico II, Via Cinthia, 80126 Naples, Italy;2. Faculté des Sciences Sociales, Université de Liège, Place des Orateurs 3, 4000 Liège, Belgium;3. Department of Industrial Engineering, University of Naples Federico II, Piazzale Tecchio, 80125 Naples, Italy |
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| Abstract: | This paper is the third in a sequence of papers in which a knot removal strategy for splines, based on certain discrete norms, is developed. In the first paper, approximation methods defined as best approximations in these norms were discussed, while in the second paper a knot removal strategy for spline functions was developed. In this paper the knot removal strategy is extended to parametric spline curves and tensor product surfaces. The method has been implemented and thoroughly tested on a computer. We illustrate with several examples and applications. |
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