Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids

DOI10.1016/0010-4485(87)90235-1zbMath0655.65018OpenAlexW2076077966MaRDI QIDQ1109490

Shreeram S. Abhyankar, Chanderjit L. Bajaj

Publication date: 1987

Published in: CAD. Computer-Aided Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4485(87)90235-1

zbMATH Keywords

geometryAlgorithmsalgebraic surfacescurvesalgebraic curvessurfacescomputer-aided designcubicsautomatic parametrizationcubicoids

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15) Curves in Euclidean and related spaces (53A04) Descriptive geometry (51N05)

Related Items (14)

Computing real inflection points of cubic algebraic curves ⋮ Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves ⋮ Tracing surface intersections ⋮ Piecewise parametric approximations for algebraic curves ⋮ Computational issues in solid boundary evaluation ⋮ Generation of configuration space obstacles: The case of moving algebraic curves ⋮ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement ⋮ Rational parametrization of quadrics and their offsets ⋮ Parameterization of rational translational surfaces ⋮ Factorization of complex analytic functions algebraically dependent on space curves and applications to compatible functional and differential equations ⋮ Intersection of algebraic space curves ⋮ Local parametrization of cubic surfaces ⋮ Offset-rational parametric plane curves ⋮ Universal parametrization and interpolation on cubic surfaces

Uses Software

• CPOLY

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