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Polygonal surface remeshing with Delaunay refinement

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Abstract

Polygonal meshes are used to model smooth surfaces in many applications. Often these meshes need to be remeshed for improving the quality, density or gradedness. We apply the Delaunay refinement paradigm to design a provable algorithm for isotropic remeshing of a polygonal mesh that approximates a smooth surface. The proofs provide new insights and our experimental results corroborate the theory.

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Notes

  1. In [4], the constant is stated smaller, but\(\frac{1}{\sqrt 2}\) is also a valid choice [12].

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Acknowledgments

We acknowledge the support of Army Research Office, USA under Grant DAAD19-02-1-0347 and NSF, USA under Grants DMS-0310642 and CCR-0430735.

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Authors and Affiliations

  1. Department of CSE, The Ohio State University, Columbus, OH, 43210, USA

    Tamal K. Dey & Tathagata Ray

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  1. Tamal K. Dey
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  2. Tathagata Ray
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Correspondence to Tamal K. Dey.

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Dey, T.K., Ray, T. Polygonal surface remeshing with Delaunay refinement. Engineering with Computers 26, 289–301 (2010). https://doi.org/10.1007/s00366-009-0162-1

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