Citations: Matchmaker: Manifold Breps for non-manifold R-sets

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J. Rossignac and D. Cardoze, "Matchmaker: Manifold Breps for non-manifold r-sets", Proceedings of the ACM Symposium on Solid Modeling, pp. 31-41, June 1999.

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CW complexes: Topological Mainframe for Numerical.. - Desbarats, al. (Correct)

.... the so called manifold solids and the corresponding topological data structures, manipulated with the set of the Euler Operators [53] more general classes of solids, presenting degeneracies, came up to view: pseudo manifolds [29] quasi manifolds [42, 12] and in general nonmanifolds [72, 50, 24, 7, 23, 73, 46, 47, 6, 65]. An emerging fundamental concept of combinatorial topology, the cellular complex, becomes undeniabley a universal tool for construction and manipulation of dimensionally non homogeneous objects with internal structures and produces the convergence of methods in generic domains such as the ....

J.R. Rossignac and D. Cardoze. Matchmaker: Manifold breps for nonmanifold r-sets. In ACM Solid Modelling'99, 1999.

Simplification and Compression of 3D Meshes - Gotsman, Gumhold, Kobbelt (1998) (4 citations) (Correct)

....and geometry coding. The mesh connectivity coding part is similar to Turan s method but works for arbitrary triangle meshes. In the case when a mesh is non planar and also non manifold, the mesh can be cut at nonmanifold regions by duplicating some of the mesh elements. Rossignac and Cardoze [52] attempt to minimize the number of mesh element replications. Gueziec and Taubin [19] show how to encode the non manifold part of the incidence relations explicitly. In this section we focus on recent connectivity coding methods for manifold meshes that grow a region over the mesh and ....

Rossignac, J., Cardoze, D. (1998) Matchmaker: Manifold Breps for nonmanifold r-sets. Tech. Rep. GIT-GVU-99-03 GVU Center, Georgia Inst. of Tech.

On-the-fly Processing of Compressed Volume Data - Yang (2002) (Correct)

....a manifold sub mesh. However, this conversion is non trivial, and usually requires a local fix at all the locations where singular edges and singular vertices occur. There are two approaches to perform a local fix. The first approach, by Gu6ziec et al. Gu6ziec et al. 99] and by Rossignac et al. Rossignac and Cardoze 99] tries to identify the manifold sub components as large as possible from a non manifold mesh. After that, the vertices that fall within the intersection set of all these sub components are duplicated so that they can be treated as dis connected manifold sub meshes, which can be easily taken ....

J. Rossignac and D. Cardoze. Matchmaker: Manifold BReps for Non-Manifold R-Sets. In Proceedings of the A CM Symposium on Solid Modeling, pages 31 41, 1999. ISabella 88] P. Sabella. A Rendering Algorithm for Visualizing 3D Scalar Fields. Computer Graphics, 22(4):51 58, August 1988.

Efficient Compression of Non-Manifold Polygonal Meshes - Guziec, Bossen, Taubin, Silva (1999) (5 citations) (Correct)

....137 166 143 invert the orientation of some faces in order to reduce the number of edges whose two incident faces are inconsistently oriented. An interesting alternative for converting a non manifold mesh to a manifold mesh by vertex replication was recently introduced by Rossignac and Cardoze [16]. Rossignac and Cardoze minimize the number of vertex replications when converting non manifold solids to manifold solid representations. In the Rossignac and Cardoze method, an edge cannot be uniquely identified with a pair of vertices: for instance two edges (and four faces) can share the same ....

J. Rossignac, D. Cardoze, Matchmaker: manifold breps for non-manifold r-sets, in: SMA '99, Proceedings of the Fifth Symposium on Solid Modeling and Applications, Ann Arbor, MI, June 1999, ACM, pp. 31--41.

Geometric Algorithms and Data Representation for Solid Freeform.. - McMains (2000) (1 citation) (Correct)

....these faces, as pictured on the right. Vertices and faces point back to a single adjacent edge. Valid non 2 manifold b rep solids, such as the ones pictured in Figure 2. 6, can be represented using pseudo 2 manifold representations, which have 2 manifold connectivity but non 2 manifold geometry [46, 62]. For these valid solids, the neighborhood of each point is topologically equivalent to n disks, and each edge in the b rep is used an equal number of times in both directions. To make a pseudo 2 manifold representation, we must virtually separate these disks (see Figure 2.8) For non manifold ....

Jarek Rossignac and David Cardoze. Matchmaker: Manifold BReps for non-manifold r-sets. In Fifth Symposium on Solid Modeling and Applications, pages 31--41, Ann Arbor, MI, June 1999. ACM.

SwingWrapper: Retiling Triangle Meshes for Better.. - Attene.. (2001) (3 citations) Self-citation (Rossignac) (Correct)