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Local Changes in Marching Cubes to Generate Less Degenerated TrianglesTopics: Fundamental Methods and Algorithms; Geometric Computing; Surface Modeling

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

Abstract: The Marching Cubes algorithm is widely used to generate surfaces from implicit functions. It builds a mesh of triangles but many degenerated ones happen to appear among them, which can make the mesh thus built unfit for many applications, like the Finite Element Method. To overcome this undesired behavior our work proposes changes on the triangle generation that are automatically generated by Marching Cubes inside each voxel. We first generate the polygon border inside each voxel that intersects the surface. Each polygon is tested so as to guarantee the need to insert a new vertex inside itself, the triangles being then generated according to each polygon properties in order to guarantee the best ratio between their sides and angles. The resulting triangles inside each voxel exhibit the best possible ratio between their dimensions, thus leading to a better mesh.

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F. Leal, T.; B. M. Peixoto, A.; I. G. Silva, C.; de A. Dreux, M. and A. de Moura, C. (2015). Local Changes in Marching Cubes to Generate Less Degenerated Triangles.In Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015) ISBN 978-989-758-087-1, pages 143-149. DOI: 10.5220/0005309201430149

@conference{grapp15, author={Thiago F. Leal. and Aruquia B. M. Peixoto. and Cassia I. G. Silva. and Marcelo de A. Dreux. and Carlos A. de Moura.}, title={Local Changes in Marching Cubes to Generate Less Degenerated Triangles}, booktitle={Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)}, year={2015}, pages={143-149}, publisher={SciTePress}, organization={INSTICC}, doi={10.5220/0005309201430149}, isbn={978-989-758-087-1}, }

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015) TI - Local Changes in Marching Cubes to Generate Less Degenerated Triangles SN - 978-989-758-087-1 AU - F. Leal, T. AU - B. M. Peixoto, A. AU - I. G. Silva, C. AU - de A. Dreux, M. AU - A. de Moura, C. PY - 2015 SP - 143 EP - 149 DO - 10.5220/0005309201430149