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Hierarchical Forman Triangulation: A multiscale model for scalar field analysis
We consider the problem of analyzing the topology of scalar fields defined on a triangulated shape by using a multi-scale approach, …
Federico Iuricich, Leila De Floriani
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Hierarchical Forman Triangulation: A multiscale model for scalar field analysis
Homological Shape Analysis Through Discrete Morse Theory
Homology and persistent homology are fundamental tools for shape analysis and understanding that recently gathered a lot of interest, …
Leila De Floriani, Ulderico Fugacci, Federico Iuricich
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Label-based generalization of bathymetry data for hydrographic sounding selection
Hydrographic sounding selection is the process of generalizing high-resolution bathymetry data to a more manageable subset capable of …
Noel Dyer, Christos Kastrisios, Leila De Floriani
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Label-based generalization of bathymetry data for hydrographic sounding selection
Modeling Three-Dimensional Morse and Morse-Smale Complexes
Morse and Morse-Smale complexes have been recognized as a suitable tool for modeling the topology of a manifold M through a …
Lidija Comic, Leila De Floriani, Federico Iuricich
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Modeling Three-Dimensional Morse and Morse-Smale Complexes
Morphological Modeling of Terrains and Volume Data [Book]
This book describes the mathematical background behind discrete approaches to morphological analysis of scalar fields, with a focus on …
Lidija Comic, Leila De Floriani, Paola Magillo, Federico Iuricich
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Morphological Modeling of Terrains and Volume Data [Book]
Morphologically-aware elimination of flat edges from a TIN
We propose a new technique for eliminating flat edges from a Triangulated Irregular Network (TIN) in a morphologically consistent way. …
Paola Magillo, Leila De Floriani, Federico Iuricich
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Morphologically-aware elimination of flat edges from a TIN
Morse Complexes for Shape Segmentation and Homological Analysis: Discrete Models and Algorithms
Morse theory offers a natural and mathematically-sound tool for shape analysis and understanding. It allows studying the behavior of a …
Leila De Floriani, Ulderico Fugacci, Federico Iuricich, Paola Magillo
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Morse Complexes for Shape Segmentation and Homological Analysis: Discrete Models and Algorithms
Multi-resolution Cell Complexes Based on Homology-Preserving Euler Operators
We have proposed a complete set of basis Euler operators for updating cell complexes in arbitrary dimensions, which can be classified …
Lidija Comic, Leila De Floriani, Federico Iuricich
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Multi-resolution Cell Complexes Based on Homology-Preserving Euler Operators
Parallel Topology-aware Mesh Simplification on Terrain Trees
We address the problem of performing a topology-aware simplification algorithm on a compact and distributed data structure for triangle …
Yunting Song, Riccardo Fellegara, Federico Iuricich, Leila De Floriani
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Parallel Topology-aware Mesh Simplification on Terrain Trees
Simplex and diamond hierarchies: Models and applications
Kenneth Weiss, Leila De Floriani
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