BOUNDING PYRAMIDS AND BOUNDING CONES FOR TRIANGULAR BEZIER SURFACES  

作　　者：Jian-song Deng Fa-lai Chen Li-li Wang 

机构地区：[1]Department of Mathematics,University of Science and Technology of China,Hefei 230026,China [2]Information Center of Bengbu,Bengbu 233000,China

出　　处：《Journal of Computational Mathematics》2000年第6期609-620,共12页计算数学（英文）

基　　金：NKBRSF on Mathematics Mechanics! (grant G1998030600);the National Natural Science Foundation of China! (grants 69603009 and 1

摘　　要：This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bezier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bezier surfaces and improve the algorithm for computing the bounding cone of a set of vectors. [ABSTRACT FROM AUTHOR]This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bezier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bezier surfaces and improve the algorithm for computing the bounding cone of a set of vectors. [ABSTRACT FROM AUTHOR]

关 键 词：triangular Bezier surface patch hodograph bounding pyramid bounding cone 

分 类 号：O241[理学—计算数学]