Analysis of inpainting via clustered sparsity and microlocal analysis
From MaRDI portal
Publication:2251216
DOI10.1007/s10851-013-0422-yzbMath1362.94007arXiv1206.2526OpenAlexW1981046766MaRDI QIDQ2251216
Gitta Kutyniok, Emily J. King, Xiao-Sheng Zhuang
Publication date: 11 July 2014
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.2526
Meyer waveletsshearletssparse representationinpainting\(\ell_1\)-minimizationParseval framesdata recoverycluster coherence
Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Related Items (22)
Image recovery via geometrically structured approximation ⋮ A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data ⋮ Digital Affine Shear Transforms: Fast Realization and Applications in Image/Video Processing ⋮ Analysis of simultaneous inpainting and geometric separation based on sparse decomposition ⋮ Regularization and numerical solution of the inverse scattering problem using shearlet frames ⋮ Microlocal analysis of edge flatness through directional multiscale representations ⋮ Multi-component separation, inpainting and denoising with recovery guarantees ⋮ Detection of boundary curves on the piecewise smooth boundary surface of three dimensional solids ⋮ Blind image inpainting with sparse directional filter dictionaries for lightweight CNNs ⋮ Efficient representation of spatio-temporal data using cylindrical shearlets ⋮ Geometric separation in \(\mathbb{R}^3\) ⋮ Sparsity and incoherence in orthogonal matching pursuit ⋮ Inpainting via high-dimensional universal shearlet systems ⋮ Smooth affine shear tight frames with MRA structure ⋮ Analysis of edge and corner points using parabolic dictionaries ⋮ Smooth projections and the construction of smooth Parseval frames of shearlets ⋮ Inpainting via sparse recovery with directional constraints ⋮ Shearlets: Theory and Applications ⋮ Image inpainting using sparse multiscale representations: image recovery performance guarantees ⋮ Preserving injectivity under subgaussian mappings and its application to compressed sensing ⋮ Efficient Resolution of Anisotropic Structures ⋮ Theory and applications of compressed sensing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parabolic molecules
- Wavelet frame based blind image inpainting
- Simultaneous cartoon and texture inpainting
- Analysis and detection of surface discontinuities using the 3D continuous shearlet transform
- Compactly supported shearlets are optimally sparse
- Continuous shearlet frames and resolution of the wavefront set
- Shearlets. Multiscale analysis for multivariate data.
- Fast \(\ell _{1}\) minimization by iterative thresholding for multidimensional NMR spectroscopy
- Sparsity and persistence: mixed norms provide simple signal models with dependent coefficients
- On the stability of wavelet and Gabor frames (Riesz bases)
- The cosparse analysis model and algorithms
- Geometric separation by single-pass alternating thresholding
- Error analysis for image inpainting
- Continuous curvelet transform. I: Resolution of the wavefront set
- Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
- Mathematical Models for Local Nontexture Inpaintings
- Compactly Supported Shearlets
- Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames
- Resolution of the wavefront set using continuous shearlets
- Ten Lectures on Wavelets
- Inequalities of Littlewood–Paley Type for Frames and Wavelets
- Filling-in by joint interpolation of vector fields and gray levels
- New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
- Uncertainty principles and ideal atomic decomposition
- $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
- A generalized uncertainty principle and sparse representation in pairs of bases
- Euler's Elastica and Curvature-Based Inpainting
- Microlocal Analysis of the Geometric Separation Problem
- The Construction of Smooth Parseval Frames of Shearlets
- Image restoration: Total variation, wavelet frames, and beyond
- Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization
- An introduction to frames and Riesz bases
This page was built for publication: Analysis of inpainting via clustered sparsity and microlocal analysis
