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.

Citation
Pellenard, B., Alliez, P., & Morvan, J.-M. (2011). Isotropic 2D Quadrangle Meshing with Size and Orientation Control. Proceedings of the 20th International Meshing Roundtable, 81–98. doi:10.1007/978-3-642-24734-7_5

Journal
Proceedings of the 20th International Meshing Roundtable, IMR 2011

Conference/Event Name
20th International Meshing Roundtable, IMR 2011

DOI
10.1007/978-3-642-24734-7_510.1007/978-3-642-24734-7-5

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