A Decomposition-based Representation for 3D Simplicial Complexes
dc.contributor.author | Hui, Annie | en_US |
dc.contributor.author | Vaczlavik, Lucas | en_US |
dc.contributor.author | Floriani, Leila De | en_US |
dc.contributor.editor | Alla Sheffer and Konrad Polthier | en_US |
dc.date.accessioned | 2014-01-29T08:14:03Z | |
dc.date.available | 2014-01-29T08:14:03Z | |
dc.date.issued | 2006 | en_US |
dc.description.abstract | We define a new representation for non-manifold 3D shapes described by three-dimensional simplicial complexes, that we call the Double-Level Decomposition (DLD) data structure. The DLD data structure is based on a unique decomposition of the simplicial complex into nearly manifold parts, and encodes the decomposition in an efficient and powerful two-level representation. It is compact, and it supports efficient topological navigation through adjacencies. It also provides a suitable basis for geometric reasoning on non-manifold shapes. We describe an algorithm to decompose a 3D simplicial complex into nearly manifold parts. We discuss how to build the DLD data structure from a description of a 3D complex as a collection of tetrahedra, dangling triangles and wire edges, and we present algorithms for topological navigation. We present a thorough comparison with existing representations for 3D simplicial complexes. | en_US |
dc.description.seriesinformation | Symposium on Geometry Processing | en_US |
dc.identifier.isbn | 3-905673-24-X | en_US |
dc.identifier.issn | 1727-8384 | en_US |
dc.identifier.uri | https://doi.org/10.2312/SGP/SGP06/101-110 | en_US |
dc.publisher | The Eurographics Association | en_US |
dc.title | A Decomposition-based Representation for 3D Simplicial Complexes | en_US |
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