Isotropic 2D Quadrangle Meshing with Size and Orientation Control

Abstract : We propose an approach for automatically generating isotropic 2D quadrangle meshes from arbitrary domains with a fine control over sizing and orientation of the elements. At the heart of our algorithm is an optimization procedure that, from a coarse initial tiling of the 2D domain, enforces each of the desirable mesh quality criteria (size, shape, orientation, degree, regularity) one at a time, in an order designed not to undo previous enhancements. Our experiments demonstrate how well our resulting quadrangle meshes conform to a wide range of input sizing and orientation fields.
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Submitted on : Thursday, June 14, 2012 - 9:13:40 PM
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Bertrand Pellenard, Pierre Alliez, Jean-Marie Morvan. Isotropic 2D Quadrangle Meshing with Size and Orientation Control. 20th International Meshing Roundtable, Oct 2011, Paris, France. pp.81-98, ⟨10.1007/978-3-642-24734-7⟩. ⟨hal-00708283⟩

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