矩形域与三角域Bezier曲面间的PPG^n变换  

PPG^n TRANSFORMATIONS BETWEEN RECTANGULAR AND TRIANGULAR BEZIER SURFACES

作　　者：江雷[1] 王仁宏[1] 

机构地区：[1]大连理工大学数学研究所

出　　处：《计算数学》1999年第2期245-250,共6页Mathematica Numerica Sinica

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.

关 键 词：矩形域 PPG^n变换 BEZIER曲面 计算几何 三角域 

分 类 号：O24[理学—计算数学] TP391.72[理学—数学]