Amir Vaxman (Vienna University of Technology)
N-PolyVector fields are introduced, which are a generalization of N-RoSy fields for which the vectors are neither necessarily orthogonal nor rotationally symmetric. A novel representation for N-PolyVectors as the root sets of complex polynomials is given, in addition to the analysis of their topological and geometric properties. A smooth N-PolyVector field can be efficiently generated by solving a sparse linear system without integer variables. This flexibility of N-PolyVector fields can be explored for the design of conjugate vector fields, offering an intuitive tool to generate planar quadrilateral meshes. Further extensions to curl-free fields and other applications will be discussed.