Shape abstraction using computational topology techniques
From geometric modeling to shape modeling
SwingWrapper: Retiling triangle meshes for better edgebreaker compression
ACM Transactions on Graphics (TOG)
A mapping-independent primitive for the triangulation of parametric surfaces
Graphical Models - Special issue on SMI 2002
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Simultaneous shape decomposition and skeletonization
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Special effects: efficient and scalable encoding of the 3D metamorphosis animation with MESHGRID
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part I
| Hi-index | 0.00 |
A method for the extraction of the Extended Reeb Graph (ERG) from a closed 3D triangular mesh is presented. The ERG codes the relationships among critical points of the height function associated to the mesh, and it can represent isolated as well as degenerate critical points. The extraction process is based on a re-meshing strategy of the original mesh, which is forced to follow contour levels. The occurrence and configuration of flat areas in the re-triangulated model identify critical areas of the shape, and their relationships allow the reconstruction of the global topological structure of the shape.