Multivariate refinement equations and convergence of cascade algorithms in \(L_p(0
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Publication:1566026
DOI10.1007/s10114-002-0216-4zbMath1027.42034OpenAlexW1977040520MaRDI QIDQ1566026
Publication date: 25 September 2003
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-002-0216-4
waveletsmultiwaveletscascade algorithm\(L_p\)-convergencerefinement maskhomogeneous refinement equationmultivariate refinement equations
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Related Items (4)
A new class of multi-wavelet bases: V-system ⋮ \(L_p\)-solutions of vector refinement equations with general dilation matrix ⋮ A generalization of the mean size formula of wavelet packets in \(L_p\) ⋮ Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations
Cites Work
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- The \(p\)-norm joint spectral radius for even integers
- Stability of the shifts of a finite number of functions
- Inhomogeneous refinement equations
- Convergence of multidimensional cascade algorithm
- Convergence of cascade algorithms in Sobolev spaces associated with inhomogeneous refinement equations
- Subdivision schemes in \(L_ p\) spaces
- Analysis of uniform binary subdivision schemes for curve design
- Stationary subdivision
- Compression of Wavelet Decompositions
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Vector subdivision schemes and multiple wavelets
- Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
- Refinable Function Vectors
- Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations
- Convergence of cascade algorithms associated with nonhomogeneous refinement equations
- Norms concerning subdivision sequences and their applications in wavelets
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