Computing Volumes of Solids Enclosed by Recursive Subdivision Surfaces
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Date
1997
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Journal ISSN
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Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
The volume of a solid enclosed by a recursive subdivision surface can be approximated based on the closed-form representation of regular parts of the subdivision surface and a tight estimate of the local convex hull near extraordinary points. The approach presented is efficient, i.e. non-exponential, and robust in that it yields rapidly contracting error bounding boxes. An extension to measuring higher-order moments is sketched.
Description
@article{10.1111:1467-8659.00145,
journal = {Computer Graphics Forum},
title = {{Computing Volumes of Solids Enclosed by Recursive Subdivision Surfaces}},
author = {Peters, Jorg and Nasri, Ahmad},
year = {1997},
publisher = {Blackwell Publishers Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00145}
}