Restoration of matrix fields by second-order cone programming

DOI10.1007/s00607-007-0247-xzbMath1176.90463OpenAlexW2080647746WikidataQ113107545 ScholiaQ113107545MaRDI QIDQ946475

Bernhard Burgeth, Simon Setzer, Gabriele Drauschke, Björn Popilka

Publication date: 23 September 2008

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-007-0247-x

zbMATH Keywords

variational methodsreaction-diffusion equationsecond-order cone programmingDT-MRISOCPmatrix fields

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (7)

Restoration of manifold-valued images by half-quadratic minimization ⋮ A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds ⋮ Total variation regularization on Riemannian manifolds by iteratively reweighted minimization ⋮ A Guide to the TV Zoo ⋮ A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images ⋮ Priors with coupled first and second order differences for manifold-valued image processing ⋮ Variational Methods for Denoising Matrix Fields

Uses Software

• Benchmarks for Optimization Software

Cites Work

• Nonlinear total variation based noise removal algorithms
• Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions
• Applications of second-order cone programming
• Image recovery via total variation minimization and related problems
• An independent benchmarking of SDP and SOCP solvers
• An algorithm for total variation minimization and applications
• Convex analysis and nonlinear optimization. Theory and examples
• Relations between regularization and diffusion filtering
• Locally analytic schemes: a link between diffusion filtering and wavelet shrinkage
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Variational Methods for Denoising Matrix Fields
• Computational Methods for Inverse Problems
• Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem
• Second-order Cone Programming Methods for Total Variation-Based Image Restoration
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