25 September 2003 Converting triangular Bezier surface into optimal trimmed tensor-product Bezier surface
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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.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yang Zhao, Yang Zhao, Jieqing Feng, 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); doi: 10.1117/12.538829; https://doi.org/10.1117/12.538829
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