UMD GeoVis Group
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Tetrahedral Trees: A Family of Hierarchical Spatial Indexes for Tetrahedral Meshes
We address the problem of performing efficient spatial and topological queries on large tetrahedral meshes with arbitrary topology and …
Riccardo Fellegara
,
Leila De Floriani
,
Paola Magillo
,
Kenneth Weiss
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DOI
The Stellar decomposition: A compact representation for simplicial complexes and beyond
We introduce the Stellar decomposition, a model for efficient topological data structures over a broad range of simplicial and cell …
Riccardo Fellegara
,
Kenneth Weiss
,
Leila De Floriani
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DOI
TopoCluster: A Localized Data Structure for Topology-based Visualization
Unstructured data are collections of points with irregular topology, often represented through simplicial meshes, such as triangle and …
Guoxi Liu
,
Federico Iuricich
,
Riccardo Fellegara
,
Leila De Floriani
PDF
DOI
Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions
We propose a set of atomic modeling operators for simplifying and refining cell complexes in arbitrary dimensions. Such operators …
Lidija Comic
,
Leila De Floriani
,
Federico Iuricich
,
Ulderico Fugacci
PDF
DOI
Topologically-Consistent Simplification of Discrete Morse Complex.
We address the problem of simplifying Morse–Smale complexes computed on volume datasets based on discrete Morse theory. Two approaches …
Federico Iuricich
,
Ulderico Fugacci
,
Leila De Floriani
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DOI
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