期刊
ACM TRANSACTIONS ON GRAPHICS
卷 35, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2897824.2925880
关键词
Subdivision surfaces; discrete exterior calculus; discrete differential geometry; geometry processing
资金
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1011944] Funding Source: National Science Foundation
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据