Automatic Detection of Closed Parametric Surfaces without Interior
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Date
1988
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Eurographics Association
Abstract
This paper presents an algorithm for the automatic detection of closed piecewise parametric surfaces without any inside or outside, e.g. a Klein bottle. The algorithm is able to decide whether a given closed surface is orientable or not. If non-orientable, the surface will not divide Euclidean 3-space into two halves. Therefore a non-orientable surface can never serve as the boundary of a solid object. The algorithm is based on results from algebraic topology and thus avoids the computation of derivatives and normal vectors. Several applications of the algorithm to rational tensor product B-spline surfaces are given.
Description
@inproceedings{10.2312:egtp.19881008,
booktitle = {EG 1988-Technical Papers},
editor = {},
title = {{Automatic Detection of Closed Parametric Surfaces without Interior}},
author = {Seidel, Hans-Peter},
year = {1988},
publisher = {Eurographics Association},
ISSN = {1017-4656},
ISBN = {},
DOI = {10.2312/egtp.19881008}
}