Computing the form of highest degree of the implicit equation of a rational surface
From MaRDI portal
Publication:2221785
DOI10.1016/j.aam.2020.102128zbMath1461.14050OpenAlexW3099652788MaRDI QIDQ2221785
Sonia Pérez-Díaz, Juan Gerardo Alcázar
Publication date: 2 February 2021
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2020.102128
Rational and ruled surfaces (14J26) Computational aspects of algebraic surfaces (14Q10) Rational and birational maps (14E05) Surfaces of general type (14J29) Hypersurfaces and algebraic geometry (14J70)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotes and perfect curves
- Darboux cyclides and webs from circles
- Asymptotes of space curves
- An in depth analysis, via resultants, of the singularities of a parametric curve
- Properness and inversion of rational parametrizations of surfaces
- Implicitization of rational surfaces by means of polynomial interpolation
- Translation surfaces and isotropic transport nets on rational minimal surfaces
- On the existence of birational surjective parametrizations of affine surfaces
- Computation of the degree of rational surface parametrizations
- Polynomial algorithms in computer algebra
- On the validity of implicitization by moving quadrics for rational surfaces with no base points
- Algebraic affine rotation surfaces of parabolic type
- Asymptotic behavior of an implicit algebraic plane curve
- Computation of the singularities of parametric plane curves
- A univariate resultant-based implicitization algorithm for surfaces
- Implicitization of rational parametric surfaces
- Residual resultant over the projective plane and the implicitization problem
- Computation of the degree of rational maps between curves
- Covering of surfaces parametrized without projective base points
- IMPLICITIZATION OF SURFACES IN ℙ3 IN THE PRESENCE OF BASE POINTS
- Computing the singularities of rational surfaces
- Partial degree formulae for rational algebraic surfaces
- Covering rational ruled surfaces
- Basic Algebraic Geometry 1
- Resultants and moving surfaces
This page was built for publication: Computing the form of highest degree of the implicit equation of a rational surface