Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants

DOI10.1016/0167-8396(92)90009-EzbMath0756.65011OpenAlexW2006512450WikidataQ127972163 ScholiaQ127972163MaRDI QIDQ1195068

S. Singh

Publication date: 13 October 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(92)90009-e

zbMATH Keywords

multiplicityrational surfacesdegreecomputational geometryalgebraic surfaceresultantinversion formulasalgebraic geometryintersection

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (17)

Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces ⋮ A survey of the representations of rational ruled surfaces ⋮ Reparameterization of rational triangular Bézier surfaces ⋮ A matrix-based approach to properness and inversion problems for rational surfaces ⋮ The proper parametrization of a special class of rational parametric equations ⋮ Implicitization and parametrization of quadratic and cubic surfaces by \(\mu\)-bases ⋮ Implicitization of rational hypersurfaces via linear syzygies: a practical overview ⋮ Inherently improper surface parametric supports ⋮ Proper reparametrization for inherently improper unirational varieties ⋮ Computation of the singularities of parametric plane curves ⋮ A univariate resultant-based implicitization algorithm for surfaces ⋮ Behavior of the fiber and the base points of parametrizations under projections ⋮ Implicitization of a general union of parametric varieties ⋮ An implicitization algorithm for rational surfaces with no base points ⋮ The \(\mu\)-basis of a rational ruled surface ⋮ Implicitization and parametrization of nonsingular cubic surfaces ⋮ Implicitization of rational surfaces by means of polynomial interpolation

Uses Software

• Maple

Cites Work

• A survey of curve and surface methods in CAGD
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