BOUNDARY INTEGRATION OVER LINEAR POLYHEDRA

被引：38

作者：

CATTANI, C ^{[1
]}

PAOLUZZI, A ^{[1
]}

机构：

[1] UNIV ROME LA SAPIENZA,DIPARTIMENTO INFORMAT & SISTEMIST,I-00185 ROME,ITALY

来源：

COMPUTER-AIDED DESIGN | 1990年 / 22卷 / 02期

关键词：

computer-aided design; integration; polyhedra; polynomial forms;

D O I：

10.1016/0010-4485(90)90007-Y

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In order either to plan or control the static or dynamic behaviour of models in CAD applications, it is often necessary, to evaluate integral properties of solid models (i.e. volume, centroid, moments of inertia, etc.). This paper deals with the exact evaluation of inertial properties of homogeneous polyhedral objects. In particular, a finite integration method is developed for the computation of various order monomial integrals over polyhedral solids and surfaces in the 3-space. The integration method presented here can also be used for the exact evaluation of domain integrals of trivariate polynomial forms. © 1990.

引用

页码：130 / 135

页数：6

共 19 条

[1] AMAZIGO JC, 1962, ADV CALCULUS
[2] Apostol, 1980, CALCULUS
[3] CONTOUR INTEGRATION ON THE GRAPHICS SCREEN AND ITS APPLICATION IN CADCAM
FABRIKANT, VI
LATINOVIC, V
SANKAR, TS
[J]. COMPUTER-AIDED DESIGN, 1985, 17 (02) : 60 - 68
[4] Hammer P.C., 1956, MATH TABLES OTHER AI, V10, P137
[5] HAMMER PC, 1956, MATH TABLES AIDS COM, V10, P130, DOI DOI 10.2307/2002483
[6] HUANG TC, 1967, ENG MECHANICS, V2
[7] HUANG TC, 1967, ENG MECHANICS, V1
[8] Krylov VI., 2006, APPROXIMATE CALCULAT
[9] ALGORITHMS FOR COMPUTING THE VOLUME AND OTHER INTEGRAL PROPERTIES OF SOLIDS .2. A FAMILY OF ALGORITHMS BASED ON REPRESENTATION CONVERSION AND CELLULAR APPROXIMATION
LEE, YT
REQUICHA, AAG
[J]. COMMUNICATIONS OF THE ACM, 1982, 25 (09) : 642 - 650
[10] ALGORITHMS FOR COMPUTING THE VOLUME AND OTHER INTEGRAL PROPERTIES OF SOLIDS .1. KNOWN METHODS AND OPEN ISSUES
LEE, YT
REQUICHA, AAG
[J]. COMMUNICATIONS OF THE ACM, 1982, 25 (09) : 635 - 641

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