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Field‐Aligned Isotropic Surface Remeshing
Author(s) -
Du Xingyi,
Liu Xiaohan,
Yan DongMing,
Jiang Caigui,
Ye Juntao,
Zhang Hui
Publication year - 2018
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.13329
Subject(s) - isotropy , voronoi diagram , constraint (computer aided design) , centroidal voronoi tessellation , surface (topology) , field (mathematics) , computer science , tessellation (computer graphics) , symmetry (geometry) , rotational symmetry , algorithm , function (biology) , geometry , mathematical optimization , mathematics , computer graphics (images) , physics , optics , evolutionary biology , pure mathematics , biology
We present a novel isotropic surface remeshing algorithm that automatically aligns the mesh edges with an underlying directional field. The alignment is achieved by minimizing an energy function that combines both centroidal Voronoi tessellation (CVT) and the penalty enforced by a six‐way rotational symmetry field. The CVT term ensures uniform distribution of the vertices and high remeshing quality, and the field constraint enforces the directional alignment of the edges. Experimental results show that the proposed approach has the advantages of isotropic and field‐aligned remeshing. Our algorithm is superior to the representative state‐of‐the‐art approaches in various aspects.