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Authors: Francisco J. Galdames 1 and Fabrice Jaillet 2

Affiliations: 1 Universidad de Chile, Université de Lyon, CNRS, Université Lyon 1 and LIRIS, Chile ; 2 Université de Lyon, IUT Lyon 1, Computer ScienUniversité de Lyon, CNRS, Université Lyon 1 and LIRISce Department, France

ISBN: 978-989-8565-02-0

Keyword(s): Simplex Mesh, Triangle Mesh, Optimized Surface Interpolation, Surface Mesh Conversion.

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

Abstract: We propose an accurate method to convert from a triangular mesh model to a simplex mesh and vice-versa. For this, we are taking advantage of the fact that they are topologically duals, turning it into a natural swap between these two models. Unfortunately, they are not geometrically equivalents, leading to loss of information and to geometry deterioration when performing the conversion. Therefore, optimal positions of the vertices in the dual mesh have to be found while avoiding shape degradation. An accurate and effective transformation technique is described in this paper, where we present a direct method to perform an appropriate interpolation of a simplex mesh to obtain its dual, and/or vice-versa. Our method is based on the distance minimization between the local tangent planes of the mesh and vertices of each face.

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Paper citation in several formats:
J. Galdames, F. and Jaillet, F. (2012). FROM TRIANGULATION TO SIMPLEX MESH AND VICE-VERSA - A Simple and Efficient Conversion.In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2012) ISBN 978-989-8565-02-0, pages 151-156. DOI: 10.5220/0003851801510156

@conference{grapp12,
author={Francisco J. Galdames. and Fabrice Jaillet.},
title={FROM TRIANGULATION TO SIMPLEX MESH AND VICE-VERSA - A Simple and Efficient Conversion},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2012)},
year={2012},
pages={151-156},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003851801510156},
isbn={978-989-8565-02-0},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2012)
TI - FROM TRIANGULATION TO SIMPLEX MESH AND VICE-VERSA - A Simple and Efficient Conversion
SN - 978-989-8565-02-0
AU - J. Galdames, F.
AU - Jaillet, F.
PY - 2012
SP - 151
EP - 156
DO - 10.5220/0003851801510156

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