Automatic Detection of Closed Parametric Surfaces without Interior
| dc.contributor.author | Seidel, Hans-Peter | en_US |
| dc.date.accessioned | 2015-10-05T07:55:47Z | |
| dc.date.available | 2015-10-05T07:55:47Z | |
| dc.date.issued | 1988 | en_US |
| dc.description.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. | en_US |
| dc.description.seriesinformation | EG 1988-Technical Papers | en_US |
| dc.identifier.doi | 10.2312/egtp.19881008 | en_US |
| dc.identifier.issn | 1017-4656 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/egtp.19881008 | en_US |
| dc.publisher | Eurographics Association | en_US |
| dc.title | Automatic Detection of Closed Parametric Surfaces without Interior | en_US |