A GEOMETRIC APPROACH TO CURVATURE ESTIMATION ON TRIANGULATED 3D SHAPES

Mohammed Mesmoudi; Leila De Floriani; Paola Magillo

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Paper

A GEOMETRIC APPROACH TO CURVATURE ESTIMATION ON TRIANGULATED 3D SHAPES

Topics: Geometric Computing; Modeling and Algorithms

In Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 0VISIGRAPP, 90-95, 2010 , Angers, France

Authors: Mohammed Mesmoudi ; Leila De Floriani and Paola Magillo

Affiliation: University of Genova, Italy

Keyword(s): Gaussian and mean curvatures, Surface meshes.

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

Abstract: We present a geometric approach to define discrete normal, principal, Gaussian and mean curvatures, that we call Ccurvature. Our approach is based on the notion of concentrated curvature of a polygonal line and a simulation of rotation of the normal plane of the surface at a point. The advantages of our approach is its simplicity and its natural meaning. A comparison with widely-used discrete methods is presented.

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Paper citation in several formats:

Mesmoudi, M.; De Floriani, L. and Magillo, P. (2010). A GEOMETRIC APPROACH TO CURVATURE ESTIMATION ON TRIANGULATED 3D SHAPES. 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 90-95. DOI: 10.5220/0002825900900095

@conference{grapp10,
author={Mohammed Mesmoudi. and Leila {De Floriani}. and Paola Magillo.},
title={A GEOMETRIC APPROACH TO CURVATURE ESTIMATION ON TRIANGULATED 3D SHAPES},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP},
year={2010},
pages={90-95},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002825900900095},
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 - A GEOMETRIC APPROACH TO CURVATURE ESTIMATION ON TRIANGULATED 3D SHAPES
SN - 978-989-674-026-9
IS - 2184-4321
AU - Mesmoudi, M.
AU - De Floriani, L.
AU - Magillo, P.
PY - 2010
SP - 90
EP - 95
DO - 10.5220/0002825900900095
PB - SciTePress