Inpainting via high-dimensional universal shearlet systems

DOI10.1007/s10440-018-0159-0zbMath1407.42027OpenAlexW2791167677MaRDI QIDQ1782219

Z. Amiri, Rajab Ali Kamyabi-Gol

Publication date: 19 September 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-018-0159-0

zbMATH Keywords

shearletscompressed sensinginpaintingcluster coherence\(\ell^{1}\) minimization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

Analysis of simultaneous inpainting and geometric separation based on sparse decomposition

Cites Work

• A mathematical introduction to compressive sensing
• Simultaneous cartoon and texture inpainting
• Geometric separation of singularities using combined multiscale dictionaries
• Sparse directional image representations using the discrete shearlet transform
• The cosparse analysis model and algorithms
• Analysis of inpainting via clustered sparsity and microlocal analysis
• Geometric separation by single-pass alternating thresholding
• Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
• ShearLab 3D
• Microlocal Analysis of the Geometric Separation Problem
• The Construction of Smooth Parseval Frames of Shearlets
• Asymptotic Analysis of Inpainting via Universal Shearlet Systems
• Shearlet-Based Total Variation Diffusion for Denoising
• 3-D Discrete Shearlet Transform and Video Processing
• Optimally Sparse Multidimensional Representation Using Shearlets

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