An implicitization algorithm with fewer variables

DOI10.1016/0167-8396(95)91147-RzbMath0875.68835OpenAlexW1997945373MaRDI QIDQ673482

Tomás Recio, Jaime Gutierrez, Cesar Alonso

Publication date: 28 February 1997

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(95)91147-r

zbMATH Keywords

Gröbner basesImplicitizationParametric varieties

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (8)

Implicitization of parametric curves via Lagrange interpolation ⋮ The implicit equation of a multigraded hypersurface ⋮ Numerical stability of surface implicitization ⋮ A direct approach to computing the \(\mu\)-basis of planar rational curves ⋮ Implicitization of rational surfaces using toric varieties ⋮ Gröbner bases applied to finitely generated field extensions ⋮ Implicitization of rational surfaces by means of polynomial interpolation ⋮ Polynomial parametrization of curves without affine singularities

Uses Software

• CoCoA

Cites Work

• Implicit representation of rational parametric surfaces
• Implicit representation of parametric curves and surfaces
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