Detecting cusps and inflection points in curves

DOI10.1016/0167-8396(92)90050-YzbMath0757.65012OpenAlexW1970663370WikidataQ126340523 ScholiaQ126340523MaRDI QIDQ1195058

John F. Canny, Dinesh Manocha

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)90050-y

zbMATH Keywords

rational curvesgeometric continuityinflection pointscuspsregular curvesproper parametrizationsSturm chains

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (19)

The conditions for the coincidence or overlapping of two Bézier curves ⋮ Computing real inflection points of cubic algebraic curves ⋮ Inflection points and singularities on C-curves ⋮ An error-bounded approximate method for representing planar curves in B-splines ⋮ Vanishing torsion of parametric curves ⋮ Shape analysis of cubic trigonometric Bézier curves with a shape parameter ⋮ \texttt{PTOPO}: computing the geometry and the topology of parametric curves ⋮ Identification of inflection points and cusps on rational curves ⋮ Relation among C-curve characterization diagrams ⋮ Computing singular points of plane rational curves ⋮ Inflection points on 3D curves ⋮ Certified approximation of parametric space curves with cubic \(B\)-spline curves ⋮ The singular point of an algebraic cubic ⋮ Osculatory interpolation ⋮ Singularities of rational Bézier curves ⋮ Detecting real singularities of a space curve from a real rational parametrization ⋮ DECEIVING THE V-BLOCK METHOD FOR ASSESSMENT OF DEPARTURE FROM ROUNDNESS ⋮ On the singularity of a class of parametric curves ⋮ Detecting symmetries in polynomial Bézier curves

Cites Work

• Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
• Degenerate parametric curves
• Improperly parametrized rational curves
• Rational geometric splines
• The complexity of elementary algebra and geometry
• Curvature continuous curves and surfaces
• Rational curves with polynomial parameterization
• Analytic properties of plane offset curves
• Local Control of Bias and Tension in Beta-splines
• A geometric characterization of parametric cubic curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Detecting cusps and inflection points in curves