The regularity analysis of multivariate refinable functions from generalized Bernstein bases and application in remote sensing image compression

DOI10.1080/00207160801939144zbMath1182.94009OpenAlexW2122270609MaRDI QIDQ5852119

Rui Yang, Bo Li, Xudong Zhang, Xiao-Yuan Yang

Publication date: 26 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160801939144

zbMATH Keywords

symmetrybiorthogonal waveletsgeneralized Bernstein basesparameterization of filters

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (1)

The lifting factorization of wavelet bi-frames with arbitrary generators

Cites Work

• Low bit-rate design considerations for wavelet-based image coding.
• Generalized Bernstein polynomials and symmetric functions
• Dual generalized Bernstein basis
• A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
• Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities
• Regularity of multivariate refinable functions
• Fractal functions and wavelet expansions based on several scaling functions
• A general framework of multivariate wavelets with duals
• Regular orthonormal and biorthogonal wavelet filters
• Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions
• The Sobolev regularity of refinable functions
• Ten Lectures on Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• Biorthogonal bases of compactly supported wavelets
• Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
• Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function

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