The Stellar decomposition: A compact representation for simplicial complexes and beyond
R Fellegara, K Weiss, L De Floriani - Computers & Graphics, 2021 - Elsevier
We introduce the Stellar decomposition, a model for efficient topological data structures over
a broad range of simplicial and cell complexes. A Stellar decomposition of a complex is a …
a broad range of simplicial and cell complexes. A Stellar decomposition of a complex is a …
Analysis of geolocalized social networks based on simplicial complexes
A common issue in network analysis consists in the detection and characterization of the key
vertices and communities. To this purpose, visualization tools could be of great help to …
vertices and communities. To this purpose, visualization tools could be of great help to …
[PDF][PDF] Homology preserving simplification for top-based representations
F Iuricich, R Fellegara, L De Floriani - Symp. on Computational …, 2016 - iuricichf.github.io
Topological features provide global information about a shape, such as the number of the
connected components, and the number of holes and tunnels. These are especially …
connected components, and the number of holes and tunnels. These are especially …
[PDF][PDF] An efficient approach for verifying manifold properties of simplicial complexes
R Fellegara, K Weiss, L De Floriani - 2016 - osti.gov
While the vast majority of mesh processing tools assume a manifold mesh, many available
meshes do not satisfy these constraints due to geometric defects and non-manifold …
meshes do not satisfy these constraints due to geometric defects and non-manifold …