Spectral boundary conditions for volumetric frame fields design
Numerical Analysis
2023-09-26 v1 Graphics
Numerical Analysis
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.
Cite
@article{arxiv.2309.13477,
title = {Spectral boundary conditions for volumetric frame fields design},
author = {Yuri Nesterenko},
journal= {arXiv preprint arXiv:2309.13477},
year = {2023}
}