Designing N-PolyVector Fields with Complex Polynomials

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 pro...

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Bibliographic Details
Published inComputer graphics forum Vol. 33; no. 5; pp. 1 - 11
Main Authors Diamanti, Olga, Vaxman, Amir, Panozzo, Daniele, Sorkine-Hornung, Olga
Format Journal Article
LanguageEnglish
Published Oxford Blackwell Publishing Ltd 01.08.2014
Subjects
Analysis
Computer graphics
Integers
Linear systems
Mathematical analysis
Mathematical models
Mesh generation
Polynomials
Representations
Studies
Symmetry
Vector space
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Summary: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.
Bibliography:istex:EBFCE46CCC6D1FB6F8C84830EEF04EF5967533DA
ArticleID:CGF12426
ark:/67375/WNG-6C95NPZV-4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12426