# Octahedral Frames for Feature-Aligned Cross-Fields

arXiv: https://arxiv.org/abs/2007.09740 · HTML: https://mlsanity.com/paper/2007.09740/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 19 Jul 2020.

## Built on by (most cited first, 3 of 3)

- [NeurCross: A Neural Approach to Computing Cross Fields for Quad Mesh Generation](https://mlsanity.com/paper/2405.13745/) (2024)
- [Variational Barycentric Coordinates](https://mlsanity.com/paper/2310.03861/) (2023)
- [Look Both Ways Before You Cross: Lifting Cross Fields From 2D Visual Priors](https://mlsanity.com/paper/2605.26062/) (2026)

## Abstract (arXiv)

We present a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry. Our approach introduces a novel class of energies based on a representation of cross fields in the spherical harmonic basis. We provide theoretical analysis of these energies in the smooth setting, showing that they penalize deviations from surface creases while otherwise promoting intrinsically smooth fields. We demonstrate the applicability of our method to quad-meshing and include an extensive benchmark comparing our fields to other automatic approaches for generating feature-aligned cross fields on triangle meshes.