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Anisotropic Rectangular Metric for Polygonal Surface Remeshing
Bertrand Pellenard, Jean-Marie Morvan and Pierre Alliez.
International Meshing Roundtable 2012
Abstract: We propose a new method for anisotropic polygonal surface remeshing. Our algorithm takes as input a surface triangle mesh. An anisotropic rectangular metric, defined at each triangle facet of the input mesh, is derived from both a user-specified normal-based tolerance error and the requirement to favor rectangle-shaped polygons. Our algorithm uses a greedy optimization procedure that adds, deletes and relocates generators so as to match two criteria related to partitioning and conformity.
[PDF: paper]
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Isotropic 2D Quadrangle Meshing with Size and Orientation Control
Bertrand Pellenard, Pierre Alliez and Jean-Marie Morvan.
International Meshing Roundtable 2011
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.
[PDF: paper], [PDF: slides]
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