Designing N-PolyVector Fields with Complex Polynomials

作者:Diamanti Olga*; Vaxman Amir; Panozzo Daniele; Sorkine Hornung Olga
来源:Computer Graphics Forum, 2014, 33(5): 1-11.
DOI:10.1111/cgf.12426

摘要

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.

  • 出版日期2014-8