ANALYSIS AND MODELING OF DEFORMED SWEPT VOLUMES

被引：39

作者：

BLACKMORE, D

LEU, MC

SHIH, F

机构：

[1] NEW JERSEY INST TECHNOL,DEPT MECH & IND ENGN,NEWARK,NJ 07102

[2] NEW JERSEY INST TECHNOL,DEPT COMP & INFORMAT SCI,NEWARK,NJ 07102

来源：

COMPUTER-AIDED DESIGN | 1994年 / 26卷 / 04期

基金：

美国国家科学基金会;

关键词：

SWEEP DIFFERENTIAL EQUATIONS; SIMILARITY DEFORMATIONS; LINEAR DEFORMATIONS; NONLINEAR DEFORMATIONS; BOUNDARY-FLOW FORMULAS; LIE GROUPS;

D O I：

10.1016/0010-4485(94)90077-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The sweep differential equation approach and the boundary flow method developed for the analysis and representation of swept volumes are extended to include objects experiencing deformation. It is found that the theoretical framework can be generalized quite naturally to deformed swept volumes by the enlargement of the Lie group structure of the sweeps. All the usual results, including the boundary-flow formula, are shown to have extensions for swept volumes with deformation. Several special classes of deformation are identified, and their particular properties are studied insofar as they pertain to swept volumes. A program for obtaining deformed swept volumes of planar polygons is described, and is then applied to several examples to demonstrate its effectiveness.

引用

页码：315 / 326

页数：12