期刊
ACM TRANSACTIONS ON GRAPHICS
卷 34, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2766906
关键词
PolyVectors; curl-free fields; quad meshing
资金
- ERC [StG-2012-306877]
- Lise-Meitner grant [M1618-N25]
- Austrian Science Fund (FWF) [P23735-N13]
- Austrian Science Fund (FWF) [P 23735, I 706] Funding Source: researchfish
- Austrian Science Fund (FWF) [I706, P23735] Funding Source: Austrian Science Fund (FWF)
We present a framework for designing curl-free tangent vector fields on discrete surfaces. Such vector fields are gradients of locallydefined scalar functions, and this property is beneficial for creating surface parameterizations, since the gradients of the parameterization coordinate functions are then exactly aligned with the designed fields. We introduce a novel definition for discrete curl between unordered sets of vectors (PolyVectors), and devise a curl-eliminating continuous optimization that is independent of the matchings between them. Our algorithm naturally places the singularities required to satisfy the user-provided alignment constraints, and our fields are the gradients of an inversion-free parameterization by design.
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