A New Class of Trigonometric B-Spline Curves-Reference-Cited by-同舟云学术

A New Class of Trigonometric B-Spline Curves

Published:2023-08-07 Issue:8 Volume:15 Page:1551
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Albrecht Gudrun¹^ORCID,Mainar Esmeralda²^ORCID,Peña Juan Manuel²^ORCID,Rubio Beatriz²^ORCID

Affiliation:

1. School of Mathematics, National University of Colombia, Medellín Campus, Medellín 4309511, Colombia

2. Department of Applied Mathematics, University Research Institute of Mathematics and Its Applications (IUMA), University of Zaragoza, 50009 Zaragoza, Spain

Abstract

We construct one-frequency trigonometric spline curves with a de Boor-like algorithm for evaluation and analyze their shape-preserving properties. The convergence to quadratic B-spline curves is also analyzed. A fundamental tool is the concept of the normalized B-basis, which has optimal shape-preserving properties and good symmetric properties.

Funder

Spanish research

Gobierno de Aragón

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/8/1551/pdf

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