Iterative image restoration combining total variation minimization and a second-order functional
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Publication:2577853
DOI10.1007/s11263-005-3219-7zbMath1286.94021OpenAlexW2169288322MaRDI QIDQ2577853
Publication date: 9 January 2006
Published in: International Journal of Computer Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11263-005-3219-7
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Variational methods on the space of functions of bounded Hessian for convexification and denoising
- Image recovery via total variation minimization and related problems
- Denoising with higher order derivatives of bounded variation and an application to parameter estimation
- Fourth-order partial differential equations for noise removal
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Noise Removal Using Smoothed Normals and Surface Fitting
- The computation of visible-surface representations
- Weakly Differentiable Functions
- Image Decomposition and Restoration Using Total Variation Minimization and theH1
- BV-type regularization methods for convoluted objects with edge, flat and grey scales
- High-Order Total Variation-Based Image Restoration
- Structural Properties of Solutions to Total Variation Regularization Problems
- Traveling Wave Solutions of Fourth Order PDEs for Image Processing
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