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Particle Systems for Adaptive, IsotropicMeshing of CAD Models

Jonathan R. Bronson, Joshua A. Levine, and Ross T. Whitaker

Proceedings, 19th International Meshing Roundtable, Springer-Verlag, pp.279-296, October 3-6 2010

IMR
PROCEEDINGS

19th International Meshing Roundtable
Chattanooga, Tennessee, USA.
October 3-6, 2010

Scientific Computing and Imaging Institute,
Salt Lake City, UT, U.S.A.
Email:{bronson,jlevine,whitaker}@sci.utah.edu

Summary
We present a particle-based approach for generating adaptive triangular surface and tetrahedral volume meshes from CAD models. Input shapes are treated as a collection of smooth, parametric surface patches that can meet non-smoothly on boundaries. Our approach uses a hierarchical sampling scheme that places particles on features in order of increasing dimensionality. These particles reach a good distribution by minimizing an energy computed in 3D world space, with movements occurring in the parametric space of each surface patch. Rather than using a pre-computed measure of feature size, our system automatically adapts to both curvature as well as a notion of topological separation. It also enforces a measure of smoothness on these constraints to construct a sizing eld that acts as a proxy to piecewise-smooth feature size. We evaluate our technique with comparisons against other popular triangular meshing techniques for this domain.

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