CGGC Seminar: Designing N-PolyVector Fields with Complex Polynomials

Amir Vaxman (Vienna University of Technology)
Sunday, 8.3.2015, 13:30
Room 337-8 Taub Bld.

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.

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