The method of resolvents: A technique for the implicitization, inversion, and intersection of non-planar, parametric, rational cubic curves

DOI10.1016/S0167-8396(85)80001-7zbMath0583.65009OpenAlexW2024672868MaRDI QIDQ1069262

Ronald N. Goldman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(85)80001-7

zbMATH Keywords

Bézier curvescomputational geometryresultanteliminationquadratic surfacesobject modelingcurve representationsmethod of resolventsnon-planar rational cubic curvesoptimal robust intersection algorithm

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Graphical methods in numerical analysis (65S05)

Related Items

Computational issues in solid boundary evaluation, The intersection multiplicity of intersection points over algebraic curves, Intersection of algebraic space curves, Some applications of resultants to problems in computational geometry, Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves

Cites Work

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• Algorithm for algebraic curve intersection
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• Implicitization, inversion, and intersection of planar rational cubic curves