Optimal transport-based polar interpolation of directional fields
Name
vecinterp.pdf
Description
Accepted version
Size
46.74 MB
Format
Adobe PDF
Checksum (MD5)
73715d69d420ca779e1fc9c1e49e5463
Author(s)
Solomon, Justin
Vaxman, Amir
Date Issued
2019
Journal
ACM Transactions on Graphics
Publisher
Association for Computing Machinery (ACM)
Version
Author's final manuscript
Abstract
© 2019 Copyright held by the owner/author(s). Publication rights licensed to ACM. We propose an algorithm that interpolates between vector and frame fields on triangulated surfaces, designed to complement field design methods in geometry processing and simulation. Our algorithm is based on a polar construction, leveraging a conservation law from the Hopf-Poincaré theorem to match singular points using ideas from optimal transport; the remaining detail of the field is interpolated using straightforward machinery. Our model is designed with topology in mind, sliding singular points along the surface rather than having them appear and disappear, and it caters to all surface topologies, including boundary and generator loops.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1145/3306346.3323005
