Multiresolution analyses originated from nonstationary subdivision schemes

DOI10.1016/j.cam.2007.10.024zbMath1153.65023OpenAlexW1997635357MaRDI QIDQ950190

Laura Gori, Francesca Pitolli

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.024

zbMATH Keywords

multiresolution analysissubdivision schemestotal positivityrefinable functionspre-wavelets

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)

Related Items (2)

Bell-shaped nonstationary refinable ripplets ⋮ A family of level-dependent biorthogonal wavelet filters for image compression

Cites Work

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• Totally positive functions through nonstationary subdivision schemes
• Shape-preserving \(C^1\) Hermite interpolants generated by a Gori-Pitolli subdivision scheme
• Using the refinement equation for the construction of pre-wavelets
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• Polynomial reproduction in subdivision
• On the construction of multivariate (pre)wavelets
• Convergence of nonstationary cascade algorithms
• Convergence properties of certain refinable quasi-interpolatory operators
• Stationary subdivision
• On Refinement Equations Determined by Pólya Frequency Sequences
• On linear independence for integer translates of a finite number of functions
• On the Galerkin method based on a particular class of scaling functions
• Positive refinable operators

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