Computation of Hermite interpolation in terms of B-spline basis using polar forms

DOI10.1016/j.matcom.2016.09.009OpenAlexW2528797578MaRDI QIDQ2229020

A. Lamnii, M. Lamnii, F. Oumellal

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.09.009

zbMATH Keywords

B-splinesHermite interpolationpolar forms

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (7)

Trigonometric Hermite interpolation method for Fredholm linear integral equations ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines ⋮ Quasi-interpolant operators in Bernstein basis ⋮ A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation ⋮ A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming

Uses Software

• pchip
• SplinePak

Cites Work

• Unnamed Item
• Blossoms are polar forms
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• Construction of univariate spline quasi-interpolants with symmetric functions
• On calculating with B-splines
• Spline Functions
• An Integrated Introduction to Computer Graphics and Geometric Modeling
• On Shape Preserving Quadratic Spline Interpolation
• Monotone Piecewise Cubic Interpolation
• Monotone and Convex Spline Interpolation
• Scalar- and planar-valued curve fitting using splines under tension
• Polar forms for geometrically continuous spline curves of arbitrary degree
• On shape preserving \(C^2\) Hermite interpolation

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