Spectral boundary conditions for volumetric frame fields design

September 23, 2023 ยท Declared Dead ยท ๐Ÿ› arXiv.org

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Authors Yuri Nesterenko arXiv ID 2309.13477 Category math.NA: Numerical Analysis Cross-listed cs.GR Citations 0 Venue arXiv.org Last Checked 2 months ago
Abstract
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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