Equidistant Smoothing of Polyhedra with Arbitrary Topologies
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Date
1992
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
Smoothing of polyhedron with arbitrary topology is an important issue in CAGD and CAD/CAM, but so far it is deemed to be difficult to smooth the complex corners of a polyhedron. In this paper, the concept of distance surfaces of a surface and a solid is introduced, and the incisive properties of such surfaces are addressed which provide a theoretical foundation for modifying a general corner. The method is based on making constricted volume and the maximum distance the volume can be constricted is given too. It is shown that by the proposed method in this paper any polyhedron can be G1 smoothed with quadraic and, sometimes toroidal surfaces. The new approach is suitable for engineering design and NC machining. The associated algorithm based on the classification theorem of corners is simple, fast and robust.
Description
@article{10.1111:1467-8659.1130405,
journal = {Computer Graphics Forum},
title = {{Equidistant Smoothing of Polyhedra with Arbitrary Topologies}},
author = {Ma, Lizhuang and Liang, Youdong and Peng, Qunsheng},
year = {1992},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1130405}
}