Journal
ACM TRANSACTIONS ON GRAPHICS
Volume 35, Issue 4, Pages -Publisher
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2897824.2925880
Keywords
Subdivision surfaces; discrete exterior calculus; discrete differential geometry; geometry processing
Categories
Funding
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1011944] Funding Source: National Science Foundation
Ask authors/readers for more resources
This paper introduces a new computational method to solve differential equations on subdivision surfaces. Our approach adapts the numerical framework of Discrete Exterior Calculus (DEC) from the polygonal to the subdivision setting by exploiting the refinability of subdivision basis functions. The resulting Subdivision Exterior Calculus (SEC) provides significant improvements in accuracy compared to existing polygonal techniques, while offering exact finite-dimensional analogs of continuum structural identities such as Stokes' theorem and Helmholtz-Hodge decomposition. We demonstrate the versatility and efficiency of SEC on common geometry processing tasks including parameterization, geodesic distance computation, and vector field design.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available