Gabor shearlets
From MaRDI portal
Publication:466975
DOI10.1016/j.acha.2014.03.006zbMath1304.42084arXiv1303.6556OpenAlexW4206200052MaRDI QIDQ466975
Gitta Kutyniok, Bernhard G. Bodmann, Xiao-Sheng Zhuang
Publication date: 3 November 2014
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.6556
orthonormal waveletsGabor framesredundancysparse approximationshearletstight framecartoon-like functionscone-adapted Gabor shearletsGabor shearlets
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
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Cites Work
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- Parabolic molecules
- A quantitative notion of redundancy for finite frames
- Compactly supported shearlets are optimally sparse
- The nonexistence of shearlet scaling functions
- Shearlets. Multiscale analysis for multivariate data.
- Construction of compactly supported shearlet frames
- Generalized interpolating refinable function vectors
- Foundations of time-frequency analysis
- Gabor frames by sampling and periodization
- Optimally Sparse Representations of 3D Data with $C^2$ Surface Singularities Using Parseval Frames of Shearlets
- Matrix Extension with Symmetry and Its Application to Symmetric Orthonormal Multiwavelets
- Adaptive Multiresolution Analysis Structures and Shearlet Systems
- Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis
- Painless nonorthogonal expansions
- Ten Lectures on Wavelets
- New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
- Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields
- Optimally Sparse Multidimensional Representation Using Shearlets