A control point based curve with two exponential~shape parameters

DOI10.1007/s10543-014-0468-2zbMath1308.65037OpenAlexW2088382861MaRDI QIDQ466808

Miklós Hoffmann, Gyula Károlyi, Imre Juhász

Publication date: 31 October 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0468-2

zbMATH Keywords

shape parametersblending functionsgeneralized Bézier curve

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

A class of blending functions with \(C^{\infty}\) smoothness ⋮ New trigonometric basis possessing denominator shape parameters ⋮ New cubic rational basis with tension shape parameters ⋮ A NURBS transition between a Bézier curve and its control polygon ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ Quasi-quintic trigonometric Bézier curves with two shape parameters

Cites Work

• Unnamed Item
• Curve construction based on five trigonometric blending functions
• Interpolation with slackness and continuity control and convexity-preservation using singular blending
• Unified and extended form of three types of splines
• Periodic decomposition of integer valued functions
• Variable degree polynomial splines are Chebyshev splines
• Piecewise quartic polynomial curves with a local shape parameter
• Total positivity and the existence of piecewise exponential B-splines
• A general class of Bernstein-like bases
• On a class of weak Tchebycheff systems
• The Curious History of Faa di Bruno's Formula

This page was built for publication: A control point based curve with two exponential~shape parameters