Approximation of vectors fields by thin plate splines with tension

DOI10.1016/j.jat.2005.07.005zbMath1077.41025OpenAlexW1978976976MaRDI QIDQ2569465

Mohammed-Najib Benbourhim, Abderrahman Bouhamidi

Publication date: 27 October 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2005.07.005

zbMATH Keywords

thin plate splinesdivergence-freerotation-freesplines with tensionvectorial splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Probability distributions: general theory (60E05) Numerical interpolation (65D05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Error estimates for interpolating div-curl splines under tension on a bounded domain ⋮ Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms ⋮ Spline approximation of gradient fields: applications to wind velocity fields ⋮ Error estimates for vectorial interpolating div-rot splines under tension ⋮ Approximation of vector fields using discrete div-rot variational splines in a finite element space ⋮ DIV-CURL WEIGHTED MINIMIZING SPLINES

Cites Work

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• A vector spline approximation
• Hilbertian kernels and spline functions
• Multivariate interpolating \((m,\ell,s)\)-splines

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