Asymptotic Analysis of Inpainting via Universal Shearlet Systems

DOI10.1137/140969452zbMath1307.42033arXiv1405.3747OpenAlexW3101085605MaRDI QIDQ5174310

Martin Genzel, Gitta Kutyniok

Publication date: 17 February 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3747

zbMATH Keywords

waveletssparse approximationshearletscompressed sensinginpainting\(\ell_1\)-minimizationcosparsitymultiscale representation systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computing methodologies for image processing (68U10) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) General harmonic expansions, frames (42C15) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (12)

\(\alpha\)-Molecules ⋮ On the Continuous Steering of the Scale of Tight Wavelet Frames ⋮ 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 ⋮ Anisotropic multiscale systems on bounded domains ⋮ Multi-component separation, inpainting and denoising with recovery guarantees ⋮ Detection of boundary curves on the piecewise smooth boundary surface of three dimensional solids ⋮ Image reconstruction using analysis model prior ⋮ Inpainting via high-dimensional universal shearlet systems ⋮ ShearLab 3D ⋮ Image inpainting using sparse multiscale representations: image recovery performance guarantees

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