Designing N-polyvector fields with complex polynomials

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

Research output: Contribution to journalArticle

Abstract

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 (US)
Pages (from-to)1-11
Number of pages11
JournalComputer Graphics Forum
Volume33
Issue number5
DOIs
StatePublished - Aug 2014

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

Fingerprint Dive into the research topics of 'Designing N-polyvector fields with complex polynomials'. Together they form a unique fingerprint.

  • Cite this