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Optimizing polycube domain construction for hexahedral remeshing
Affiliation:1. School of Computer Engineering, Nanyang Technological University, Singapore;2. Department of Computer Science and Technology, Tsinghua University, Beijing, China;3. Faculty of Information Science and Engineering, Ningbo University, Zhejiang, China;4. Department of Computer Science, Hong Kong University, Hong Kong, China;5. Department of Computer Science, Stony Brook University, New York, USA;6. Fraunhofer IDM@NTU, Nanyang Technological University, Singapore;1. Université de Lyon, CNRS, INSA-Lyon, LaMCoS UMR5259, France;2. ANSYS Research & Development, France;3. Institut Universitaire de France, France;1. Center for Cardiovascular Simulation, Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th St, Stop C0200, Austin, TX 78712, USA;2. Department of Mechanical Engineering, Iowa State University, 2025 Black Engineering, Ames, IA 50011, USA;3. Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive S.E., Minneapolis, MN 55455, USA;4. Department of Aerospace Engineering Sciences, University of Colorado at Boulder, 429 UCB, Boulder, CO 80309, USA;5. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, Mail Code 0085, La Jolla, CA 92093, USA
Abstract:Polycube mapping can provide regular and global parametric representations for general solid models. Automatically constructing effective polycube domains, however, is challenging. We present an algorithm for polycube construction and volumetric parameterization. The algorithm has three steps: pre-deformation, polycube construction and optimization, and mapping computation. Compared with existing polycube mapping methods, our algorithm can robustly generate desirable polycube domain shape and low-distortion volumetric parameterization. It can be used for automatic high-quality hexahedral mesh generation.
Keywords:Polycube parameterization  Volumetric parameterization  Hexahedral meshing
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