Representing circles with five control points

DOI10.1016/j.cagd.2003.06.007zbMath1069.65509OpenAlexW2028601685MaRDI QIDQ2388528

Juan Manuel Peña, J. M. Carnicer, Esmeralda Mainar

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2003.06.007

zbMATH Keywords

shape preservingcritical lengthtrigonometric curvestotally positive basis

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer-aided design (modeling of curves and surfaces) (65D17) Analytic geometry with other transformation groups (51N25)

Related Items (7)

Control point based exact description of curves and surfaces, in extended Chebyshev spaces ⋮ Monotonicity preserving representations of non-polynomial surfaces ⋮ Mixed hyperbolic/trigonometric spaces for design ⋮ Shape preservation regions for six-dimensional spaces ⋮ Periodic Bézier curves ⋮ Normalized B-basis of the space of trigonometric polynomials and curve design ⋮ A totally positive basis for circle approximations

Cites Work

• Identities for trigonometric B-splines with an application to curve design
• Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• Shape preserving representations for trigonometric polynomial curves
• Corner cutting curves and a new characterization of Bézier and B-spline curves
• Quadratic trigonometric polynomial curves with a shape parameter
• Higher order Bézier circles
• Shape preserving representations and optimality of the Bernstein basis
• Shape preserving alternatives to the rational Bézier model
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