Designing N-PolyVector Fields with Complex Polynomials
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Date
2014Author
Diamanti, Olga
Vaxman, Amir
Panozzo, Daniele
Sorkine-Hornung, Olga
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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.
BibTeX
@article {10.1111:cgf.12426,
journal = {Computer Graphics Forum},
title = {{Designing N-PolyVector Fields with Complex Polynomials}},
author = {Diamanti, Olga and Vaxman, Amir and Panozzo, Daniele and Sorkine-Hornung, Olga},
year = {2014},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12426}
}
journal = {Computer Graphics Forum},
title = {{Designing N-PolyVector Fields with Complex Polynomials}},
author = {Diamanti, Olga and Vaxman, Amir and Panozzo, Daniele and Sorkine-Hornung, Olga},
year = {2014},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12426}
}