An Improved Algorithm for Constructing Moving Quadrics from Moving Planes  

作　　者：LAI Yisheng CHEN Falai 

机构地区：[1]Department of Mathematics, Zhejiang Gongshang University [2]Department of Mathematics, University of Science and Technology of China

出　　处：《Journal of Systems Science & Complexity》2017年第6期1483-1506,共24页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11271328and 11571338;the Zhejiang Provincial Natural Science Foundation under Grant No.Y7080068

摘　　要：This paper proposes an improved algorithm to construct moving quadrics from moving planes that follow a tensor product surface with no base points, assuming that there are no moving planes of low degree following the surface. These moving quadrics provide an efficient method to implicitize the tensor product surface which outperforms a previous approach by the present authors.This paper proposes an improved algorithm to construct moving quadrics from moving planes that follow a tensor product surface with no base points, assuming that there are no moving planes of low degree following the surface. These moving quadrics provide an efficient method to implicitize the tensor product surface which outperforms a previous approach by the present authors.

关 键 词：IMPLICITIZATION moving plane moving quadric rational surface 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]