Abstract topological data structure for 3D spatial objects
In spatial science, the relationship between spatial objects is considered to be a vital
element. Currently, 3D objects are often used for visual aids, improving human insight …
element. Currently, 3D objects are often used for visual aids, improving human insight …
Homological spanning forest framework for 2D image analysis
H Molina-Abril, P Real - Annals of Mathematics and Artificial Intelligence, 2012 - Springer
A 2D topology-based digital image processing framework is presented here. This framework
consists of the computation of a flexible geometric graph-based structure, starting from a …
consists of the computation of a flexible geometric graph-based structure, starting from a …
Representing simplicial complexes with Mangroves
D Canino, L De Floriani - Proceedings of the 22nd International Meshing …, 2014 - Springer
Simplicial complexes are extensively used for discretizing digital shapes in two, three, and
higher dimensions within a variety of application domains. There have been many proposals …
higher dimensions within a variety of application domains. There have been many proposals …
Geoinformatics and Topological Data Analysis
F Papadimitriou - Geo-Topology: Theory, Models and Applications, 2024 - Springer
This chapter presents concepts and methods of topology that are applicable in
geoinformatics and spatial data analysis. After introducing the topology of boundaries and …
geoinformatics and spatial data analysis. After introducing the topology of boundaries and …
Conversion between chains of maps and chains of surfaces; application to the computation of incidence graphs homology
S Alayrangues, P Lienhardt, S Peltier - 2015 - hal.science
Many combinatorial cellular structures have been defined in order to represent the topology
of subdivided geometric objects. Two main classes can be distinguished. According to the …
of subdivided geometric objects. Two main classes can be distinguished. According to the …
A boundary operator for computing the homology of cellular structures
S Alayrangues, G Damiand, P Lienhardt, S Peltier - 2011 - hal.science
The paper focuses on homology computation over cellular structures through the
computation of incidence numbers. Roughly speaking, if two cells are incident, then their …
computation of incidence numbers. Roughly speaking, if two cells are incident, then their …
Dual half edge data structure in database for big data in GIS
M Goudarzi, M Asghari… - ISPRS Annals of …, 2015 - isprs-annals.copernicus.org
In GIS, different types of data structures have been proposed in order to represent 3D
models and examining the relationship between spatial objects. The Dual Half-Edge (DHE) …
models and examining the relationship between spatial objects. The Dual Half-Edge (DHE) …
Piecewise Linear Continuation: Derivative-free Manifold Generation
ME Henderson, R Melville - 2023 - researchsquare.com
Abstract We describe the Piecewise Linear Continuation algorithm Allgower and Georg
(2000) for finding solutions of a set of nonlinear equations that depend on k parameters …
(2000) for finding solutions of a set of nonlinear equations that depend on k parameters …
Homology of cellular structures allowing multi-incidence
S Alayrangues, G Damiand, P Lienhardt… - Discrete & Computational …, 2015 - Springer
This paper focuses on homology computation over 'cellular'structures that allow multi-
incidence between cells. We deal here with combinatorial maps, more precisely chains of …
incidence between cells. We deal here with combinatorial maps, more precisely chains of …
Contribution to the improvement of meshless methods applied to continuum mechanics
G Fougeron - 2018 - theses.hal.science
Cette thèse présente un cadre général pour l'étude de schémas de discrétisation nodaux
sans maillageformulé en termes d'opérateurs discrets définis sur un nuage de points …
sans maillageformulé en termes d'opérateurs discrets définis sur un nuage de points …