On a class of ill-posed minimization problems in image processing
From MaRDI portal
Publication:1012194
DOI10.1016/j.jmaa.2008.06.049zbMath1158.49027OpenAlexW2082976788MaRDI QIDQ1012194
Publication date: 14 April 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.049
Sensitivity, stability, well-posedness (49K40) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Related Items
Complex diffusion filtering of three dimensional turbulent flows, Statistical extraction and filtering of multi-scale vortical structures in isotropic turbulence, Ill-posedness of sublinear minimization problems, Runge-Kutta type total variation regularization for nonlinear inverse problems, Weighted and extended total variation for image restoration and decomposition, Half-linear regularization for nonconvex image restoration models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Multifonctions s.c.i. et régularisée s.c.i. essentielle. (Lower semicontinuous multifunctions and essential lower semicontinuous regularization)
- Existence theory for a new class of variational problems
- On a weighted total variation minimization problem
- Weak lower semicontinuous envelope of functionals defined on a space of measures
- Integral representation of nonconvex functionals defined on measures
- Image recovery via total variation minimization and related problems
- An algorithm for total variation minimization and applications
- Asymptotic behavior of a Geman and McClure discrete model
- Fast dual minimization of the vectorial total variation norm and applications to color image processing
- Image restoration with discrete constrained total variation. II: Levelable functions, convex priors and non-convex cases
- Modeling very oscillating signals. Application to image processing
- Dual norms and image decomposition models
- A note on the gradient of a multi-image
- Weak convergence of asymptotically homogeneous functions of measures
- New lower semicontinuity results for nonconvex functionals defined on measures
- A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
- Analysis of a Nonconvex Problem Related to Signal Selective Smoothing
- The digital TV filter and nonlinear denoising
- Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal
- A Mathematical Study of the Relaxed Optical Flow Problem in the Space $BV (\Omega)$
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Iterative Methods for Total Variation Denoising
- Image Processing and Analysis
