Trimming bézier surfaces on bézier surfaces via blossoming

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Abstract

The problem of trimming Bézier surfaces on Bézier surfaces contains many cases, such as the subdivision, conversion and conjoining. Different methods have been given for some special cases. In this paper, by means of blossoming and parameter transformation, a united approach is given for this problem. The approach can be extended to trim Bézier patches on any polynomial or rational surfaces naturally. © 2008 Springer-Verlag Berlin Heidelberg.

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Yang, L. Q., & Zeng, X. M. (2008). Trimming bézier surfaces on bézier surfaces via blossoming. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4975 LNCS, pp. 578–584). Springer Verlag. https://doi.org/10.1007/978-3-540-79246-8_50

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