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Simplification Operators on a Dimension-Independent Graph-Based Representation of Morse Complexes
Ascending and descending Morse complexes are defined by the critical points and integral lines of a scalar field f defined on a …
Lidija Comic, Leila De Floriani, Federico Iuricich
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Simplification Operators on a Dimension-Independent Graph-Based Representation of Morse Complexes
Supertetras: A Superpixel Analog for Tetrahedral Mesh Oversegmentation
Over the past decade, computer vision algorithms have transitioned from relying on the direct, pixel-based representation of images to …
Giulia Picciau, Patricio Simari, Federico Iuricich, Leila De Floriani
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Supertetras: A Superpixel Analog for Tetrahedral Mesh Oversegmentation
Terrain trees: a framework for representing, analyzing and visualizing triangulated terrains
We propose a family of spatial data structures for the representation and processing of Triangulated Irregular Networks (TINs). We call …
Riccardo Fellegara, Federico Iuricich, Yunting Song, Leila De Floriani
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Terrain trees: a framework for representing, analyzing and visualizing triangulated terrains
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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Tetrahedral Trees: A Family of Hierarchical Spatial Indexes for Tetrahedral Meshes
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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The Stellar decomposition: A compact representation for simplicial complexes and beyond
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
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TopoCluster: A Localized Data Structure for Topology-based Visualization
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
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Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions
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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Topologically-Consistent Simplification of Discrete Morse Complex.