Subdivision for Generating Quadrics

查看全文 作　　者：Wei Guofu Feng Yuyu Chen [1]Falai 机构地区：[1]Department of Mathematics University of Science and Technology of China Hefei,Anhui 230026,P. R. China Department of Mathematics University of Science and Technology of China Hefei,Anhui 230026,P. R. China Department of Mathematics University of Science and Technology of China Hefei,Anhui 230026,P. R. China 出　　处：《计算机科学》索引2002年第29卷第z2期,共4页 基　　金：This work is supported by NKBRSF on Mathematical Mechanics(G1998030600),the National Natural Science Foundation of China(19971087,69603009)and the Doctoral Program(20010358003)and TRAPOYT of MOE,China. 摘　　要：Quadrics are of basic importance in Computer Graphics and Computer Aided Design. In this paper,we design a subdivision scheme based on the method suggested by G. Morin and J. Warren to generate conics and quadrics conveniently. Given the control polygon(poly-hedron),the corresponding ellipse (ellipsoid)can be generated. The hyperbolas and hyperboloids are generated based on the generation of ellipses and ellipsoids by a simple transformation. The method in this paper is much simpler and easier to apply than those given by Eugenia Montiel et al. 关 键 词：SUBDIVISION SURFACE ,Quadrics ,Geometric MODELING