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All-Hex Mesh Generation via Volumetric PolyCube Deformation

Abstract : While hexahedral mesh elements are preferred by a variety of simulation techniques, constructing quality all-hex meshes of general shapes remains a challenge. An attractive hex-meshing approach, often referred to as submapping, uses a low distortion mapping between the input model and a PolyCube (a solid formed from a union of cubes), to transfer a regular hex grid from the PolyCube to the input model. Unfortunately, the construction of suitable PolyCubes and corresponding volumetric maps for arbitrary shapes remains an open problem. Our work introduces a new method for computing low-distortion volumetric PolyCube deformations of general shapes and for subsequent all-hex remeshing. For a given input model, our method simultaneously generates an appropriate PolyCube structure and mapping between the input model and the PolyCube. From these we automatically generate good quality all-hex meshes of complex natural and man-made shapes.
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https://hal.inria.fr/hal-00766792
Contributor : Pierre-Luc Manteaux <>
Submitted on : Wednesday, December 19, 2012 - 9:12:32 AM
Last modification on : Thursday, March 26, 2020 - 8:49:26 PM

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James Gregson, Alla Sheffer, Eugene Zhang. All-Hex Mesh Generation via Volumetric PolyCube Deformation. Computer Graphics Forum, Wiley, 2011, Special Issue of Symposium on Geometry Processing 2011, 30 (5), pp.1407-1416. ⟨10.1111/j.1467-8659.2011.02015.x⟩. ⟨hal-00766792⟩

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