Designing N‐PolyVector Fields with Complex Polynomials

doi:10.1111/cgf.12426

Designing N‐PolyVector Fields with Complex Polynomials

2014-08-23

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DOI：10.1111/cgf.12426

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AbstractWe 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.

Designing N‐PolyVector Fields with Complex Polynomials

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