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Incremental Computation of the Homology of Generalized Maps: An Application of Effective Homology Results

Sylvie Alayrangues , Laurent Fuchs , Pascal Lienhardt , Samuel Peltier
2015
Pré-publication, Document de travail hal-01142760v2

Simploidals sets: Definitions, Operations and Comparison with Simplicial Sets

Samuel Peltier , Laurent Fuchs , Pascal Lienhardt
Discrete Applied Mathematics, 2009, 157, pp.542--557. ⟨10.1016/j.dam.2008.05.032⟩
Article dans une revue hal-00366069v1
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Receptive Fields for Generalized Map Pyramids: The Notion of Generalized Orbit

Carine Grasset-Simon , Guillaume Damiand , Pascal Lienhardt
Discrete Geometry for Computer Imagery, Apr 2005, Poitiers, France. pp.56-67, ⟨10.1007/978-3-540-31965-8_6⟩
Communication dans un congrès hal-01511756v1

Partition de l'espace et hiérarchie de cartes généralisées : application aux complexes architecturaux

David Fradin , Daniel Meneveaux , Pascal Lienhardt
AFIG, Dec 2002, Lyon, France
Communication dans un congrès hal-00337806v1
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Conversion between chains of maps and chains of surfaces; application to the computation of incidence graphs homology

Sylvie Alayrangues , Pascal Lienhardt , Samuel Peltier
[Research Report] Université de Poitiers. 2015
Rapport hal-01130543v1
Image document

Extracting cell complexes from digital images

Ana Maria Pacheco Martinez , Pascal Lienhardt , Pedro Real Juarez
2014
Pré-publication, Document de travail hal-01016498v2
Image document

Homology of Cellular Structures Allowing Multi-incidence

Sylvie Alayrangues , Guillaume Damiand , Pascal Lienhardt , Samuel Peltier
Discrete and Computational Geometry, 2015, 54 (1), pp.42-77. ⟨10.1007/s00454-015-9662-5⟩
Article dans une revue hal-01189215v1
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Homology Computation During an Incremental Construction Process

Pascal Lienhardt , Samuel Peltier
Computational Topology in Image Context - CTIC 2016, Jun 2016, Marseille, France. pp.7-15, ⟨10.1007/978-3-319-39441-1_2⟩
Communication dans un congrès hal-01506980v1
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Modèles topologiques

Pascal Lienhardt , Laurent Fuchs , Yves Bertrand
Informatique graphique, modélisation géométrique et animation, Lavoisier, pp.49-93, 2007
Chapitre d'ouvrage hal-00580707v1

Homology of simploidal sets

Samuel Peltier , Laurent Fuchs , Pascal Lienhardt
Discrete Geometry for Computer Imagery, Oct 2006, Szeged, Hungary. pp.235--246
Communication dans un congrès hal-00308014v1
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Pyramids of n-Dimensional Generalized Maps

Carine Grasset-Simon , Guillaume Damiand , Pascal Lienhardt
Graph-Based Representations in Pattern Recognition, Apr 2005, Poitiers, France. pp.142-152, ⟨10.1007/978-3-540-31988-7_13⟩
Communication dans un congrès hal-01511770v1
Image document

A Boundary Operator for Computing the Homology of Cellular Structures

Sylvie Alayrangues , Guillaume Damiand , Pascal Lienhardt , Samuel Peltier
[Research Report] Université de poitiers. 2011
Rapport hal-00683031v2

Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces

Sylvie Alayrangues , X. Daragon , Jacques-Olivier Lachaud , Pascal Lienhardt
Journal of Mathematical Imaging and Vision, 2008, Vol.32, p.1-22. ⟨10.1007/s10851-008-0084-3⟩
Article dans une revue istex hal-00340945v1

Local computation of homology variations over a construction process

Wassim Rharbaoui , Sylvie Alayrangues , Pascal Lienhardt , Samuel Peltier
Computer Aided Geometric Design, 2020, 81, pp.101907. ⟨10.1016/j.cagd.2020.101907⟩
Article dans une revue hal-02942455v1
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Removal and contraction operations to define combinatorial pyramids: application to the design of a spatial modeler

Guillaume Damiand , Martine Dexet , Pascal Lienhardt , Eric Andres
Image and Vision Computing, 2005, 23 (2), pp.259-269. ⟨10.1016/j.imavis.2004.06.016⟩
Article dans une revue hal-00211776v1
Image document

nD generalized map pyramids: definition, representations and basic operations

Carine Grasset-Simon , Guillaume Damiand , Pascal Lienhardt
Pattern Recognition, 2006, 39 (4), pp.527-538. ⟨10.1016/j.patcog.2005.10.004⟩
Article dans une revue hal-00211784v1
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Homology Computation on Cellular Structures in Image Context

Sylvie Alayrangues , Guillaume Damiand , Laurent Fuchs , Pascal Lienhardt , Samuel Peltier
Computational Topology in Image Context, Aug 2009, St. Kathrein/Offenegg, Austria. pp.19--28
Communication dans un congrès hal-00437766v1

Hierarchy of Generalized Maps for Modeling and Rendering Complex Indoor Scenes

David Fradin , Daniel Meneveaux , Pascal Lienhardt
2005
Rapport hal-00337810v1

A Hierarchical Topology-Based Model for Handling Complex Indoor Scenes

David Fradin , Daniel Meneveaux , Pascal Lienhardt
Computer Graphics Forum, 2006, 25 (2), pp.149--162. ⟨10.1111/j.1467-8659.2006.00931.x⟩
Article dans une revue istex hal-00332648v1
Image document

Combinatorial models for topology-based geometric modeling

Pascal Lienhardt , Laurent Fuchs , Yves Bertrand
G. Di Maio, S. Naimpally. Theory and applications of proximity, nearness and uniformity, Quaderni di matematica, dipartimento di matematica, seconda universita di Napoli, pp.151-198, 2009
Chapitre d'ouvrage hal-00580708v1

Cartes Combinatoires Ouvertes

Mathieu Poudret , Agnès Arnould , Yves Bertrand , Pascal Lienhardt
2007
Autre publication scientifique hal-00353772v1
Image document

Simploidal Sets: a data structure for handling simploidal Bézier spaces

Samuel Peltier , Pascal Lienhardt
Computer Aided Geometric Design, 2018, 62, pp.44 - 62. ⟨10.1016/j.cagd.2018.03.010⟩
Article dans une revue hal-01274880v3
Image document

Topological Map: An Efficient Tool to Compute Incrementally Topological Features on 3D Images

Guillaume Damiand , Samuel Peltier , Laurent Fuchs , Pascal Lienhardt
11th International Workshop on Combinatorial Image Analysis (IWCIA 2006), Jun 2006, Berlin, Germany. pp.1-15, ⟨10.1007/11774938_1⟩
Communication dans un congrès hal-00366101v1
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Border operator for generalized maps

Sylvie Alayrangues , Samuel Peltier , Guillaume Damiand , Pascal Lienhardt
15th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI 2009), Sep 2009, Montreal, Canada. pp.300-312, ⟨10.1007/978-3-642-04397-0_26⟩
Communication dans un congrès hal-00437746v1

Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing

Guillaume Damiand , Pascal Lienhardt
A K Peters/CRC Press, 2014, 9781482206524
Ouvrages hal-01090890v1

Homologie des ensembles simploïdaux

Samuel Peltier , Laurent Fuchs , Pascal Lienhardt
Revue des Sciences et Technologies de l'Information - Série TSI : Technique et Science Informatiques, 2006, 25 (6), pp.791--813. ⟨10.3166/tsi.25.791-813⟩
Article dans une revue istex hal-00366223v1