Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm

DOI10.4208/jcm.2012-m2020-0203zbMath1499.65060OpenAlexW4224435189WikidataQ114021194 ScholiaQ114021194MaRDI QIDQ5079568

Hongmei Kang, Zhou-Wang Yang

Publication date: 27 May 2022

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2012-m2020-0203

zbMATH Keywords

differential evolution algorithmknot placementB-spline curve approximation\(l_{\infty, 1}\)-norm

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Knot calculation for spline fitting based on the unimodality property
• Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• Approximation to Data by Splines with Free Knots

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