Shearlets: Theory and Applications

DOI10.1002/gamm.201410012zbMath1311.42091OpenAlexW1511634514WikidataQ60316334 ScholiaQ60316334MaRDI QIDQ4982278

Wang-Q Lim, Gitta Kutyniok, Gabriele Drauschke

Publication date: 24 March 2015

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201410012

zbMATH Keywords

waveletsinverse problemsframessparse approximationshearletsapplied harmonic analysismultiscale systemsimaging science

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Ill-posedness and regularization problems in numerical linear algebra (65F22) Convex programming (90C25) Computing methodologies for image processing (68U10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Random matrices (algebraic aspects) (15B52) Sampling theory in information and communication theory (94A20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (3)

Multi-scale orientation estimation using higher order Riesz transforms ⋮ Generalized Riesz Transforms, Quasi-Monogenic Functions and Frames ⋮ A strong robust zero-watermarking scheme based on shearlets' high ability for capturing directional features

Cites Work

• Parabolic molecules
• Global minimization for continuous multiphase partitioning problems using a dual approach
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Analysis and detection of surface discontinuities using the 3D continuous shearlet transform
• Compactly supported shearlets are optimally sparse
• Shearlets. Multiscale analysis for multivariate data.
• Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings
• Construction of compactly supported shearlet frames
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Shearlet coorbit spaces and associated Banach frames
• Sparse directional image representations using the discrete shearlet transform
• The continuous shearlet transform in arbitrary space dimensions
• Describing functions: Atomic decompositions versus frames
• Image analysis with two-dimensional continuous wavelet transform
• Shearlet coorbit spaces: traces and embeddings in higher dimensions
• Analysis of inpainting via clustered sparsity and microlocal analysis
• Image decomposition into a bounded variation component and an oscillating component
• Theory and applications of compressed sensing
• Convex multiclass segmentation with shearlet regularization
• Introduction to Shearlets
• Image Separation Using Wavelets and Shearlets
• Continuous Multiclass Labeling Approaches and Algorithms
• Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames
• Sparse and Redundant Modeling of Image Content Using an Image-Signature-Dictionary
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Image decomposition via the combination of sparse representations and a variational approach
• Resolution of the wavefront set using continuous shearlets
• Transforms associated to square integrable group representations. I. General results
• An axiomatic approach to image interpolation
• Microlocal Analysis of the Geometric Separation Problem
• The Construction of Smooth Parseval Frames of Shearlets
• The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
• Nonseparable Shearlet Transform
• An introduction to frames and Riesz bases
• Sparse components of images and optimal atomic decompositions

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