Gauss-Legendre polynomial basis for the shape control of polynomial curves

DOI10.1016/j.amc.2023.127995OpenAlexW4376171381MaRDI QIDQ6160602

Soo-Hyun Kim, Hwan Pyo Moon, Song-Hwa Kwon

Publication date: 26 June 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.127995

zbMATH Keywords

Bernstein polynomialGauss-Legendre quadratureBézier curvePythagorean hodograph curvesGauss-Legendre polygonGauss-Legendre polynomial

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) History of mathematics and mathematicians (01Axx) Hypergeometric functions (33Cxx)

Cites Work

• Unnamed Item
• Unnamed Item
• The Bernstein polynomial basis: a centennial retrospective
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Paolo Ruffini's contributions to the quintic
• Spectral properties of solutions of hypergeometric-type differential equations
• Pythagorean-hodograph space curves
• Shape analysis of planar PH curves with the Gauss-Legendre control polygons
• Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon
• Gauss-Lobatto polygon of Pythagorean hodograph curves
• Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons
• Rectifying control polygon for planar Pythagorean hodograph curves
• Distribution of Zeros of Orthogonal Polynomials
• Fast and Rigorous Arbitrary-Precision Computation of Gauss--Legendre Quadrature Nodes and Weights
• On the optimal stability of the Bernstein basis
• Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
• Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss’ mechanical quadrature formula

This page was built for publication: Gauss-Legendre polynomial basis for the shape control of polynomial curves