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Discrete Mesh Optimization on GPU

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27th International Meshing Roundtable (IMR 2018)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 127))

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Abstract

We present an algorithm called discrete mesh optimization (DMO), a greedy approach to topology-consistent mesh quality improvement. The method requires a quality metric for all element types that appear in a given mesh. It is easily adaptable to any mesh and metric as it does not rely on differentiable functions. We give examples for triangle, quadrilateral, and tetrahedral meshes and for various metrics. The method improves quality iteratively by finding the optimal position for each vertex on a discretized domain. We show that DMO outperforms other state of the art methods in terms of convergence and runtime.

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Author information

Authors and Affiliations

  1. Computer Graphics Chair, Universität Erlangen-Nürnberg, Erlangen, Germany

    Daniel Zint & Roberto Grosso

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  1. Daniel Zint
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  2. Roberto Grosso
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Correspondence to Daniel Zint .

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Editors and Affiliations

  1. Barcelona Supercomputing Center, Mataró, Barcelona, Spain

    Xevi Roca

  2. Inria, Palaiseau, France

    Adrien Loseille

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Zint, D., Grosso, R. (2019). Discrete Mesh Optimization on GPU. In: Roca, X., Loseille, A. (eds) 27th International Meshing Roundtable. IMR 2018. Lecture Notes in Computational Science and Engineering, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-030-13992-6_24

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