Properties of dual pseudo-splines

DOI10.1016/j.acha.2009.08.010zbMath1191.41003OpenAlexW2028289207MaRDI QIDQ984667

Bin Dong, Kai Hormann, N. Richter-Dyn

Publication date: 20 July 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/22098/files/hormann_ACHA_2010.pdf

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

Exponential pseudo-splines: looking beyond exponential B-splines, Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling, Biorthogonal wavelets and tight framelets from smoothed pseudo splines, Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials, The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation, Symbols and exact regularity of symmetric pseudo-splines of any arity, Optimized dual interpolating subdivision schemes, d-Refinable (dual) pseudo-splines and their regularities, Wavelets and framelets from dual pseudo splines, Generalized pseudo-Butterworth refinable functions, Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators, A class of generalized pseudo-splines

Cites Work

• A family of subdivision schemes with cubic precision
• Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules
• Pseudo-splines, wavelets and framelets
• Polynomial reproduction by symmetric subdivision schemes
• Symmetric iterative interpolation processes
• On existence and weak stability of matrix refinable functions
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Interpolation through an iterative scheme
• Framelets: MRA-based constructions of wavelet frames
• Subdivision schemes in geometric modelling
• Stationary subdivision
• Ten Lectures on Wavelets
• Simple Regularity Criteria for Subdivision Schemes
• Stability and Linear Independence Associated with Wavelet Decompositions
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Linear independence of pseudo-splines
• Unnamed Item
• Unnamed Item