Implicitization of parametric curves via Lagrange interpolation

DOI10.1007/s00607-006-0163-5zbMath1118.14063OpenAlexW2065847609MaRDI QIDQ2642942

Yong-Li Sun, Jian-Ping Yu

Publication date: 6 September 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-006-0163-5

zbMATH Keywords

Lagrange interpolationcurveImplicitizationBézout resultant

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Numerical interpolation (65D05) Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Computing singular points of projective plane algebraic curves by homotopy continuation methods

Cites Work

• An implicitization algorithm with fewer variables
• Improperly parametrized rational curves
• Symbolic parametrization of curves
• Implicitization of rational parametric equations
• Implicitization of rational surfaces by means of polynomial interpolation
• On the validity of implicitization by moving quadrics for rational surfaces with no base points
• Residual resultant over the projective plane and the implicitization problem
• IMPLICITIZATION OF SURFACES IN ℙ³ IN THE PRESENCE OF BASE POINTS
• The \(\mu\)-basis of a rational ruled surface
• Using polynomial interpolation for implicitizing algebraic curves
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