自动化技术、计算机技术 |
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基于广义逆矩阵的张量积Bézier曲面合并逼近 |
朱平1,2, 汪国昭1 |
1.浙江大学 计算机图像图形研究所,浙江 杭州 310027; 2.东南大学 数学系,江苏 南京 211189 |
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Approximate merging of tensor product Bézier surfaces based on
generalized inverse matrix |
ZHU Ping1,2, WANG Guo-zhao1 |
1. Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China;
2. Department of Mathematics, Southeast University, Nanjing 211189, China |
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[3] CHEN Falai, WU Yang. Degree reduction of disk Bézier curves [J]. Computer Aided Geometric Design, 2004,21(2): 263280.
[4] LU Lizheng, WANG Guozhao. Multidegree reduction of triangular Bézier surfaces with boundary constraints[J]. Computer Aided Design, 2006,38(12): 12151223.
[5] HU Qianqian,WANG Guojin. A novel algorithm for explicit optimal multidegree reduction of triangular surfaces[J]. Science in China Series FInformation Science, 2008,51(1): 1324.
[6] 王国瑾,喻春明.Bézier曲线约束降多阶算法的分析与比较[J].浙江大学学报:工学版,2007,11(41): 18051809.
WANG Guojin,YU Chunming. Analysis and comparison of algorithms for multidegree reduction with constrained Béziercurves[J]. Journal of Zhejiang University: Engineering Science, 2007,11(41):18051809.
[7] HU Shimin, TONG Ruofeng, JU Tao, et al. Approximate merging of a pair of Bézier curves[J]. Computer Aided Design, 2001,33(2): 125136.
[8] TAI Chiewlan, HU Shimin, HUANG Qixing. Approximate merging of Bspline curves via knot adjustment and constrained optimization[J]. Computer Aided Design, 2003, 35: 893899.
[9] WU Yang, CHEN Falai. Merging a pair of disk Bézier curves [C]∥ Proceedings of the 2nd International Conference on Computer graphics and Interactive Techniques in Australasia and South East Asia. Singapore: ACM, 2002: 6570.
[10] 檀敬东,黄有度.两条连续的有理Bézier曲线的逼近合并[J].大学数学,2003,19(6):9497.
TAN Jingdong, HUANG Youdu. Approximate merging of a pair of rational Bézier curves by a rational Bézier curve[J]. College Mathematics, 2003, 19(6): 9497.
[11] 王国瑾,汪国昭,郑建民.计算机辅助几何设计[M].北京:高等教育出版社,海德堡施普林格出版社,2001: 8485. |
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