Designing N-PolyVector Fields with Complex Polynomials

Olga Diamanti, Amir Vaxman, Daniele Panozzo, Olga Sorkine-Hornung

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalComputer Graphics Forum
Issue number5
Publication statusPublished - 23 Aug 2014


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