| 矩形域与三角域Bezier曲面间的PPG~n变换 |
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| 引用本文： | 江雷,王仁宏.矩形域与三角域Bezier曲面间的PPG~n变换[J].计算数学,1999,21(2):245-250. |
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| 作者姓名： | 江雷 王仁宏 |
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| 作者单位： | 大连理工大学数学研究所 |
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| 摘 要： | Geometric continuity is a very important issue in CAGD and has gained more attention. In this paper we present the new concept of polynomial preserving Gn continuity (PPGn) between rectangular and triangular Bézier surfaces. Necessary and sufficient conditions of PPGn are established explicitly. A simple and useful sufficient condition is also presented. The results can be used more effectively in connecting surfaces and composing rectangular and triangular patches.
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| 关 键 词： | 矩形域 PPG^n变换 Bezier曲面 计算几何 三角域 |
| 修稿时间： | 1998年3月20日 |
PPG~n TRANSFORMATIONS BETWEEN RECTANGULAR AND TRIANGULAR BEZIER SURFACES |
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| Jiang Lei,Wang Renhong.PPG~n TRANSFORMATIONS BETWEEN RECTANGULAR AND TRIANGULAR BEZIER SURFACES[J].Mathematica Numerica Sinica,1999,21(2):245-250. |
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| Authors: | Jiang Lei Wang Renhong |
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| Institution: | Jiang Lei; Wang Renhong(Researeh Institute of Mathetnatical Science, Dalian University of TechnolOgy, Dalian) |
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| Abstract: | Geometric continuity is a very important issue in CAGD and has gained more attention. In this paper we present the new concept of polynomial preserving Gn cootinuity (PPG") between rectangular and triangular Bezier surfaces. Necessary and swhcieot conditions of PPG" are established explicitly. A simple and useful sufficient condition is also presented. The results can be used more effectively in connecting surfaces and composing rectangular and triangular patches. |
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