Fully smoothed \(\ell_1\)-\(TV\) models: bounds for the minimizers and parameter choice

DOI10.1007/s10851-013-0420-0zbMath1292.49036OpenAlexW2043041472MaRDI QIDQ2251224

F. Baus, Mila Nikolova, Gabriele Drauschke

Publication date: 11 July 2014

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-013-0420-0

zbMATH Keywords

convex optimizationparameter estimationhistogram specification\(\ell_\infty\) errorquantisation noisesmoothed \(\ell_1\)-\(TV\) model

Mathematics Subject Classification ID

Convex programming (90C25) Computing methodologies for image processing (68U10) Sensitivity, stability, parametric optimization (90C31) Numerical methods based on nonlinear programming (49M37) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (9)

Speckle noise reduction via nonconvex high total variation approach ⋮ Bilevel Image Denoising Using Gaussianity Tests ⋮ Exact histogram specification for digital images using a variational approach ⋮ A denoising model adapted for impulse and Gaussian noises using a constrained-PDE ⋮ Solving inverse problems using data-driven models ⋮ Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal ⋮ On image restoration from random sampling noisy frequency data with regularization ⋮ Infimal Convolution of Data Discrepancies for Mixed Noise Removal ⋮ Nonconvex Total Generalized Variation Model for Image Inpainting

Uses Software

• PLCP
• UNLocBoX

Cites Work

• Unnamed Item
• Signal recovery from incomplete measurements in the presence of outliers
• Exact histogram specification for digital images using a variational approach
• Proximal Splitting Methods in Signal Processing
• Smoothing and First Order Methods: A Unified Framework
• On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
• Aspects of Total Variation RegularizedL¹Function Approximation
• Numerical optimization. Theoretical and practical aspects. Transl. from the French

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