A matrix-based approach to properness and inversion problems for rational surfaces

DOI10.1007/s00200-006-0018-5zbMath1108.14049arXivmath/0410478OpenAlexW2079278461MaRDI QIDQ857880

Laurent Busé, Carlos D'Andrea

Publication date: 5 January 2007

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410478

zbMATH Keywords

implicitizationinversionresultant

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10)

Related Items (1)

Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth theorem

Cites Work

• Hybrid sparse resultant matrices for bivariate polynomials
• Symbolic parametrization of curves
• Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants
• Inertia forms and resultant: A formulary
• Rational parametrizations of algebraic curves using a canonical divisor
• Symbolic constraints in constructive geometric constraint solving
• Properness and inversion of rational parametrizations of surfaces
• Multihomogeneous resultant formulae by means of complexes
• On the validity of implicitization by moving quadrics for rational surfaces with no base points
• Equations of parametric surfaces with base points via syzygies
• The \(\mu \)-basis and implicitization of a rational parametric surface
• Implicitization of rational surfaces using toric varieties
• IMPLICITIZATION OF SURFACES IN ℙ³ IN THE PRESENCE OF BASE POINTS
• Sylvester-resultants for bivariate polynomials with planar newton polygons
• An implicitization algorithm for rational surfaces with no base points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A matrix-based approach to properness and inversion problems for rational surfaces