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Journal Articles Computer-Aided Design Year : 2021

Designing 2D and 3D Non-Orthogonal Frame Fields

Abstract

We present a method for direction field design on surface and volumetric meshes supporting non-orthogonality. Our approach is a generalization of the representation of 3D cross fields in spherical harmonic basis. As such it induces a geometrically meaningful measure of smoothness, allows orthogonality control by a simple parameter and enables orientation constraints of a single direction. To the best of our knowledge this is the first work to propose non-orthogonal 3D frame field design. We demonstrate the applicability of our method to generate anisotropic quadrangular and hexahedral meshes which are particularly useful for remeshing CAD models.
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Dates and versions

hal-03287233 , version 1 (22-07-2021)

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Cite

David Desobry, Yoann Coudert-Osmont, Etienne Corman, Nicolas Ray, Dmitry Sokolov. Designing 2D and 3D Non-Orthogonal Frame Fields. Computer-Aided Design, 2021, 139, pp.1-9. ⟨10.1016/j.cad.2021.103081⟩. ⟨hal-03287233⟩
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