Periodic Bézier curves

DOI10.1016/j.cagd.2009.08.002zbMath1205.65105OpenAlexW2091956120MaRDI QIDQ625250

Javier Sánchez-Reyes

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.08.002

zbMATH Keywords

Lagrange interpolationDFTtrigonometric polynomialperiodic Bézierperiodic radial basis

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Periodized radial basis functions. I: Theory. ⋮ Shape control tools for periodic Bézier curves ⋮ Dynamic Evaluation of Free-Form Curves and Surfaces ⋮ Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation

Cites Work

• Identities for trigonometric B-splines with an application to curve design
• Single-valued spline curves in polar coordinates
• Interpolation by periodic radial basis functions
• Interpolation by periodic radial functions
• Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials
• Shape preserving representations for trigonometric polynomial curves
• Bézier representation of epitrochoids and hypotrochoids.
• A closed algebraic interpolation curve
• Quadratic trigonometric polynomial curves with a shape parameter
• Shape preserving representations and optimality of the Bernstein basis
• Wavelets associated with periodic basis functions
• Representing circles with five control points
• Cubic trigonometric polynomial curves with a shape parameter
• Interpolation with circular basis functions
• Quadratic trigonometric polynomial curves concerning local control
• The classical and approximate sampling theorems and their equivalence for entire functions of exponential type
• Positive definite functions on spheres
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic Bézier curves