Octahedral Frames for Feature-Aligned Cross Fields
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 24, 2020
- Source ID
- 10.1145/3374209
Entities
People
- David Bommes
- Edward Chien
- Etienne Vouga
- Josh Vekhter
- Justin Solomon
- Paul Zhang
Organizations
- Air Force Office of Scientific Research
- Army Research Office
- Massachusetts Institute of Technology
- National Science Foundation
- United States Department of Energy
- University of Bern
- University of Texas at Austin