Converting triangular Bézier surface into optimal trimmed tensor-product Bézier surface

Yang Zhao; Jieqing Feng

doi:10.1117/12.538829

25 September 2003 Converting triangular Bezier surface into optimal trimmed tensor-product Bezier surface

Yang Zhao, Jieqing Feng

Proceedings Volume 5286, Third International Symposium on Multispectral Image Processing and Pattern Recognition; (2003) https://doi.org/10.1117/12.538829
Event: Third International Symposium on Multispectral Image Processing and Pattern Recognition, 2003, Beijing, China

Abstract

Triangular Bezier surface is widely used for modelling complex object. However most of geometric modelling systems do not support it. It is necessary to convert it into tensor-product Bezier surface. In this paper, a new conversion algorithm is proposed to convert a triangular Bezier surface into an optimal trimmed tensor-product Bezier surface by using polynomial interpolation. Then the proposed algorithm is compared with previous algorithms in both computational cost and numerical accuracy. The results show that the proposed algorithm has both computational and storage advantages over previous algorithms. Its numerical accuracy is comparable with the previous ones for cases of the degree less than 6.

Citation Download Citation

Yang Zhao and Jieqing Feng "Converting triangular Bezier surface into optimal trimmed tensor-product Bezier surface", Proc. SPIE 5286, Third International Symposium on Multispectral Image Processing and Pattern Recognition, (25 September 2003); https://doi.org/10.1117/12.538829

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