P-Bézier and P-Bspline curves -- new representations with proximity control

DOI10.1016/j.cagd.2018.03.020zbMath1506.65039OpenAlexW2792827212MaRDI QIDQ1644368

István Kovács, Tamas Varady

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.03.020

zbMATH Keywords

proximityshape parametersbasis functionsparametric curves and surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ Unnamed Item ⋮ A NURBS transition between a Bézier curve and its control polygon ⋮ Construction of generalized hybrid trigonometric Bézier surfaces with shape parameters and their applications ⋮ New cubic trigonometric Bézier-like functions with shape parameter: curvature and its spiral segment ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions

Cites Work

• An extension of the Bézier model
• A novel generalization of Bézier curve and surface
• Curvature continuous curves and surfaces
• Quadratic trigonometric polynomial curves with a shape parameter
• Quasi-Bézier curves with shape parameters
• Cubic trigonometric polynomial curves with a shape parameter
• A rational cubic spline with tension
• Local Control of Bias and Tension in Beta-splines
• Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
• C-Bézier Curves and Surfaces

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