A Class of Priors for Color Image Restoration Parameterized by Lie Groups Acting on Pixel Values

DOI10.1137/22M1504664OpenAlexW4385236228MaRDI QIDQ6168338

Thomas Batard

Publication date: 8 August 2023

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

Full work available at URL: https://doi.org/10.1137/22m1504664

zbMATH Keywords

differential geometryvariational modelcolor image restorationdeep image prior

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Connections (general theory) (53C05) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

• A computational theory of visual receptive fields
• A class of generalized Laplacians on vector bundles devoted to multi-channel image processing
• Clifford–Fourier Transform and Spinor Representation of Images
• Denoising an Image by Denoising Its Curvature Image
• Motions and pattern analysis: harmonic analysis on motion groups and their homogeneous spaces
• A Decomposition Framework for Image Denoising Algorithms
• DIP-VBTV: A Color Image Restoration Model Combining a Deep Image Prior and a Vector Bundle Total Variation
• On Covariant Derivatives and Their Applications to Image Regularization
• An introduction to continuous optimization for imaging
• Total Generalized Variation
• Color Image Restoration by Saturation-Value Total Variation Regularization on Vector Bundles
• Color Image Restoration by Saturation-Value Total Variation

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