On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation

DOI10.1016/J.JMAA.2009.04.038zbMath1188.65012OpenAlexW2049181226MaRDI QIDQ1029126

Sergio Amat, J. Carlos Trillo

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.038

zbMATH Keywords

stabilitymultiresolutionpiecewise Lagrange interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (6)

Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities ⋮ Generalized wavelets design using kernel methods. Application to signal processing ⋮ Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions ⋮ \(N\)-dimensional error control multiresolution algorithms for the cell average discretization ⋮ \(N\)-dimensional error control multiresolution algorithms for the point value discretization ⋮ Exact error bounds for the reconstruction processes using interpolating wavelets

Cites Work

• Symmetric iterative interpolation processes
• Nonlinear multiscale decompositions: The approach of A. Harten
• On the stability of the PPH nonlinear multiresolution
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Multiresolution Representation of Data: A General Framework
• Unnamed Item

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