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Smoothing and untangling triangular meshes on surfaces

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hdl:2099.1/25638

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Gargallo Peiró, AbelMés informacióMés informacióMés informació
Tutor / directorSarrate Ramos, JosepMés informacióMés informacióMés informació
Document typeMaster thesis (pre-Bologna period)
Date2010-06
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
In this work it has been developed the basis of shape quality metrics for triangular meshes on surfaces. It has also been worked out a simultaneous smoothing-untangling procedure based on the ideas introduced by Escobar. This procedure is designed through the minimization of an objective function (inverse of the quality of the mesh). We have increased the computational efficiency of the original method by adding a new algorithm for the search of the optimal projection plane. Moreover we have carried out a more robust discussion of the theoretical construction of the objective function for this new algorithm. Finally, several examples have been presented in order to illustrate the capabilities of the proposed method.
SubjectsDifferential equations, Partial, Equacions en derivades parcials
DegreeLLICENCIATURA DE MATEMÀTIQUES (Pla 1992)
URIhttp://hdl.handle.net/2099.1/25638
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  • Facultat de Matemàtiques i Estadística - Llicenciatura en Matemàtiques (Pla 1992) [11]
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