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Spectral boundary conditions for volumetric frame fields design

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arxiv 2309.13477 v1 pith:7OKP6WSG submitted 2023-09-23 math.NA cs.GRcs.NA

Spectral boundary conditions for volumetric frame fields design

classification math.NA cs.GRcs.NA
keywords framevolumetricdesignfieldsframestechniquealgebraicallows
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Using the 4th and the 3rd degree spherical harmonics as the representations for volumetric frames, we describe a simple algebraic technique for combining multiple frame orientation constraints into a single quadratic penalty function. This technique allows to solve volumetric frame fields design problems using a coarse-to-fine strategy on hierarchical grids with immersed boundaries. These results were presented for the first time at the FRAMES 2023 European workshop on meshing.

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