Diamond-kite meshes: Adaptive quadrilateral meshing and orthogonal circle packing

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Abstract

We describe a family of quadrilateral meshes based on diamonds, rhombi with 60° and 120° angles, and kites with 60°, 90°, and 120° angles, that can be adapted to a local size function by local subdivision operations. The vertices of our meshes form the centers of the circles in a pair of dual circle packings in which each tangency between two circles is crossed orthogonally by a tangency between two dual circles.

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Eppstein, D. (2013). Diamond-kite meshes: Adaptive quadrilateral meshing and orthogonal circle packing. In Proceedings of the 21st International Meshing Roundtable, IMR 2012 (pp. 261–277). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-33573-0_16

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