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Authors: Leila De Floriani 1 ; Laura Papaleo 1 and Annie Hui 2

Affiliations: 1 University of Genova, Italy ; 2 University of Maryland, United States

Keyword(s): Shape Modelling, Shape Understanding, Structural Representation, Non-manifold Geometry.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometric Computing ; Geometry and Modeling ; Modeling and Algorithms ; Scene and Object Modeling

Abstract: We present TopMesh, a tool for extracting topological information from non-manifold three-dimensional objects with parts of non-uniform dimensions. The boundary of such objects is discretized as a mesh of triangles and of dangling edges, representing one-dimensional parts of the object. The geometrical and topological information extracted include the number of elements in the mesh, the number of non-manifold singularities and the Betti numbers, which characterize the topology of an object independently of the discretization of its boundary. TopMesh also computes a decomposition of the mesh into connected parts of uniform dimension, into edge-connected components formed by triangles, and into oriented edge-connected sub-meshes. We describe the functionalities of TopMesh and the algorithms implementing them.

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Paper citation in several formats:
De Floriani, L.; Papaleo, L. and Hui, A. (2010). TOPMESH - A Tool for Extracting Topological Information from Non-manifold Objects. In Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP; ISBN 978-989-674-026-9; ISSN 2184-4321, SciTePress, pages 21-29. DOI: 10.5220/0002819400210029

@conference{grapp10,
author={Leila {De Floriani}. and Laura Papaleo. and Annie Hui.},
title={TOPMESH - A Tool for Extracting Topological Information from Non-manifold Objects},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP},
year={2010},
pages={21-29},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002819400210029},
isbn={978-989-674-026-9},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP
TI - TOPMESH - A Tool for Extracting Topological Information from Non-manifold Objects
SN - 978-989-674-026-9
IS - 2184-4321
AU - De Floriani, L.
AU - Papaleo, L.
AU - Hui, A.
PY - 2010
SP - 21
EP - 29
DO - 10.5220/0002819400210029
PB - SciTePress