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Author Requicha, Aristides A. G. ♦ Lee, Yong Tsui
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Monte carlo methods ♦ Moments of inertia ♦ Numerical integration ♦ Geometric modeling ♦ Programmable automation ♦ Cad/cam ♦ Mass properties
Abstract The volume, moments of inertia, and similar properties of solids are defined by triple (volumetric) integrals over subsets of three-dimensional Euclidean space. The automatic computation of such integral properties for geometrically complex solids is important in CAD/CAM, robotics, and other fields and raises interesting mathematical and computational problems that have received little attention from numerical analysts and computer scientists. This paper summarizes the known methods for calculating integral properties of solids that may be geometrically complex and identifies some significant gaps in our current knowledge.
Description Affiliation: Univ. of Leeds, Leeds, U. K. (Lee, Yong Tsui) || Univ. of Rochester, Rochester, NY (Requicha, Aristides A. G.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 25
Issue Number 9
Page Count 7
Starting Page 635
Ending Page 641


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Source: ACM Digital Library