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矩形域与三角域Bezier曲面间的PPG^n变换 被引量:1

PPG^n TRANSFORMATIONS BETWEEN RECTANGULAR AND TRIANGULAR BEZIER SURFACES
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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 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. 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.
作者 江雷 王仁宏
出处 《计算数学》 CSCD 北大核心 1999年第2期245-250,共6页 Mathematica Numerica Sinica
关键词 矩形域 PPG^n变换 BEZIER曲面 计算几何 三角域 Geometric cootinuity, Bezier surface, PPG^n transformation
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参考文献8

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