By Yong Tsui Lee, Aristides A. G. Requicha
Communications of the ACM,
September 1982,
Vol. 25 No. 9, Pages 635-641
10.1145/358628.358643
Comments
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.
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