Publications in Scientific Journals:
O. Diamanti, A. Vaxman, D. Panozzo, O. Sorkine-Hornung:
"Integrable PolyVector fields";
ACM Transactions on Graphics,
34/4
(2015),
38;
1
- 12.
English abstract:
We present a framework for designing curl-free tangent vector fields on discrete surfaces. Such vector fields are gradients of locally-defined 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.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1145/2766906
Created from the Publication Database of the Vienna University of Technology.