Automatic Detection of Closed Parametric Surfaces without Interior

dc.contributor.authorSeidel, Hans-Peteren_US
dc.date.accessioned2015-10-05T07:55:47Z
dc.date.available2015-10-05T07:55:47Z
dc.date.issued1988en_US
dc.description.abstractThis 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.en_US
dc.description.seriesinformationEG 1988-Technical Papersen_US
dc.identifier.doi10.2312/egtp.19881008en_US
dc.identifier.issn1017-4656en_US
dc.identifier.urihttps://doi.org/10.2312/egtp.19881008en_US
dc.publisherEurographics Associationen_US
dc.titleAutomatic Detection of Closed Parametric Surfaces without Interioren_US
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