Implicit representation of rational parametric surfaces

DOI10.1016/S0747-7171(10)80008-2zbMath0767.68068MaRDI QIDQ1198242

John F. Canny, Dinesh Manocha

Publication date: 16 January 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

implicitizationrational parametric surfaces

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17) Descriptive geometry (51N05)

Related Items (15)

Delaunay refinement for piecewise smooth complexes ⋮ A simple method for implicitizing rational curves and surfaces ⋮ Implicitization and parametrization of quadratic and cubic surfaces by \(\mu\)-bases ⋮ The implicit equation of a multigraded hypersurface ⋮ Implicitization of differential rational parametric equations. ⋮ An implicitization algorithm with fewer variables ⋮ Residue calculus and applications ⋮ Implicitization of a general union of parametric varieties ⋮ Improved algorithms for computing determinants and resultants ⋮ Implicit representations of high-codimension varieties ⋮ Explicit formulas for the multivariate resultant. ⋮ Explicit factors of some iterated resultants and discriminants ⋮ Implicitization and parametrization of nonsingular cubic surfaces ⋮ Implicitization of rational surfaces using toric varieties ⋮ Matrices in elimination theory

Cites Work

• Method for intersecting algebraic surfaces with rational polynomial patches
• Generalised characteristic polynomials
• Algorithm for implicitizing rational parametric surfaces
• Implicit representation of parametric curves and surfaces
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