O. Diamanti, A.Vaxman, D. Panozzo, O. Sorkine-Hornung, Designing N-PolyVector Fields with Complex Polynomials,
Eurographics Symposium on Geometry Processing (SGP), 2014.
We introduce N-PolyVector fields, a generalization of N-RoSy fields for which the vectors are neither necessarily orthogonal nor rotationally symmetric. We formally define a novel representation for N-PolyVectors as the root sets of complex polynomials and analyze their topological and geometric properties. A smooth N-PolyVector field can be efficiently generated by solving a sparse linear system without integer variables. We exploit the flexibility of N-PolyVector fields to design conjugate vector fields, offering an intuitive tool to generate planar quadrilateral meshes.
@article{dvpsh-dnpvfcp-14, author = {Olga Diamanti and Amir Vaxman and Daniele Panozzo and Olga Sorkine-Hornung}, title = {Designing $N$-{PolyVector} Fields with Complex Polynomials}, journal = {Computer Graphics Forum (proceedings of EUROGRAPHICS Symposium on Geometry Processing)}, volume = {33}, number = {5}, pages = {1--11}, year = {2014}, } |