Implicitization of rational hypersurfaces via linear syzygies: a practical overview

DOI10.1016/j.jsc.2015.09.001zbMath1375.14199arXiv1502.00890OpenAlexW2962759704MaRDI QIDQ898276

Nicolás Botbol, Alicia Dickenstein

Publication date: 8 December 2015

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00890

zbMATH Keywords

implicitizationmatrix representationrational surfacesyzygysparse polynomial

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computational aspects of algebraic curves (14Q05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Almost-toric hypersurfaces ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics ⋮ Implicitization of tensor product surfaces in the presence of a generic set of basepoints ⋮ A study of nonlinear multiview varieties ⋮ Fibers of Multi-Graded Rational Maps and Orthogonal Projection onto Rational Surfaces ⋮ Implicitization of hypersurfaces ⋮ Implicitizing rational surfaces without base points by moving planes and moving quadrics

Uses Software

• Macaulay2
• SINGULAR

Cites Work

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