On swept volume formulations: implicit surfaces

被引：17

作者：

Abdel-Malek, K ^{[1
]}

Yang, J

Blackmore, D

机构：

[1] Univ Iowa, Dept Mech Engn, Iowa City, IA 52246 USA

[2] Univ Iowa, Ctr Comp Aided Design, Iowa City, IA 52246 USA

[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

来源：

COMPUTER-AIDED DESIGN | 2001年 / 33卷 / 01期

关键词：

swept volume; implicit surfaces; Jacobian rank deficiency; solid modeling;

D O I：

10.1016/S0010-4485(00)00065-8

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Recent developments in the formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：113 / 121

页数：9

共 11 条

[1] Swept volumes: void and boundary identification [J].