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Biharmonic fields and mesh completion

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10.1016/j.gmod.2015.06.010
 
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Argudo Medrano, ÓscarMés informacióMés informacióMés informació
Brunet Crosa, PereMés informacióMés informació
Chica Calaf, AntonioMés informacióMés informacióMés informació
Vinacua Pla, ÁlvaroMés informacióMés informacióMés informació
Document typeArticle
Defense date2015-11
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
We discuss bi-harmonic fields which approximate signed distance fields. We conclude that the bi-harmonic field approximation can be a powerful tool for mesh completion in general and complex cases. We present an adaptive, multigrid algorithm to extrapolate signed distance fields. By defining a volume mask in a closed region bounding the area that must be repaired, the algorithm computes a signed distance field in well-defined regions and uses it as an over-determined boundary condition constraint for the biharmonic field computation in the remaining regions. The algorithm operates locally, within an expanded bounding box of each hole, and therefore scales well with the number of holes in a single, complex model. We discuss this approximation in practical examples in the case of triangular meshes resulting from laser scan acquisitions which require massive hole repair. We conclude that the proposed algorithm is robust and general, and is able to deal with complex topological cases
CitationArgudo, O., Brunet, P., Chica, A., Vinacua, A. Biharmonic fields and mesh completion. "Graphical models", Novembre 2015, vol. 82, p. 137-148. 
URIhttp://hdl.handle.net/2117/84047
DOI10.1016/j.gmod.2015.06.010
ISSN1524-0703
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S1524070315000296
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  • Departament de Ciències de la Computació - Articles de revista [997]
  • ViRVIG - Grup de Recerca en Visualització, Realitat Virtual i Interacció Gràfica - Articles de revista [87]
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