Anisotropic refinable functions and the tile B-splines
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Publication:6657434
DOI10.1016/j.acha.2024.101727MaRDI QIDQ6657434
Tatyana Zaitseva, Vladimir Yu. Protasov
Publication date: 6 January 2025
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
waveletsHölder regularitydilation matrixsubdivision schemeB-splineSobolev regularityPerron eigenvaluetileinvariant conemultivariate refinement equation
Cites Work
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- Multigrid methods: grid transfer operators and subdivision schemes
- Growth rate for beta-expansions
- Vector multivariate subdivision schemes: comparison of spectral methods for their regularity analysis
- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- A tree-based approach to joint spectral radius determination
- Symmetric iterative interpolation processes
- A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
- Spectral properties of the transition operator associated to a multivariate refinement equation
- Accuracy of lattice translates of several multidimensional refinable functions
- Regularity of multivariate refinable functions
- Normals of the butterfly subdivision scheme surfaces and their applications
- Convergence of vector subdivision schemes in Sobolev spaces
- Anisotropic bivariate subdivision with applications to multigrid
- Multiple multivariate subdivision schemes: matrix and operator approaches
- The regularity of refinable functions
- The Sobolev regularity of refinable functions
- Generalized refinement equations and subdivision processes
- A new technique to estimate the regularity of refinable functions
- Exact computation of joint spectral characteristics of linear operators
- Refinement equations with nonnegative coefficients
- Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces
- \(M\)-positive sets in \(\mathbb{R}^d\)
- Regularity of anisotropic refinable functions
- Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix
- Refinement type equations and Grincevičjus series
- Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions
- The Euler binary partition function and subdivision schemes
- Surface Dimension, Tiles, and Synchronizing Automata
- Stationary subdivision
- Ten Lectures on Wavelets
- Sobolev Characterization of Solutions of Dilation Equations
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Multivariate matrix refinable functions with arbitrary matrix dilation
- Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
- Wavelet Analysis of Refinement Equations
- Classification of Self-Affine Lattice Tilings
- The generalized joint spectral radius. A geometric approach
- Anisotropic Hardy spaces and wavelets
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
- Notes on limits of Sobolev spaces and the continuity of interpolation scales
- Self-similarity and multiwavelets in higher dimensions
- On Some Sharp Regularity Estimations of $L^2 $-Scaling Functions
- Anisotropic dilations of shift-invariant subspaces and approximation properties in L2(Rd)
- Self-Similar Anisotropic Texture Analysis: The Hyperbolic Wavelet Transform Contribution
- Fractal curves and wavelets
- Self-similar lattice tilings
- Multivariate tile $\mathrm{B}$-splines
- Self-affine $2$-attractors and tiles
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