Complex-Valued Imaging with Total Variation Regularization: An Application to Full-Waveform Inversion in Visco-acoustic Media

DOI10.1137/20M1344780MaRDI QIDQ5860276

Stéphane Operto, Ali Gholami, Hossein S. Aghamiry

Publication date: 19 November 2021

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

Full work available at URL: https://arxiv.org/abs/2007.15332

zbMATH Keywords

attenuationtotal variationphase regularizationFWIcomplex-valued imagingmagnitude regularizationseparate regularization

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Nonconvex programming, global optimization (90C26) Inverse problems for PDEs (35R30) Numerical analysis (65-XX) PDE constrained optimization (numerical aspects) (49M41)

Related Items

Automatic balancing parameter selection for Tikhonov-TV regularization

Uses Software

• Complex Optimization Toolbox

Cites Work

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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Nonlinear total variation based noise removal algorithms
• Gradient methods for minimizing composite functions
• Local convergence analysis of a grouped variable version of coordinate descent
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• A perfectly matched layer for the absorption of electromagnetic waves
• Minimization of functions having Lipschitz continuous first partial derivatives
• A penalty method for PDE-constrained optimization in inverse problems
• Constrained Total Variation Deblurring Models and Fast Algorithms Based on Alternating Direction Method of Multipliers
• The Split Bregman Method for L1-Regularized Problems
• A generalized proximal point algorithm for certain non-convex minimization problems
• Unconstrained Optimization of Real Functions in Complex Variables
• An Augmented Lagrangian Approach to the Constrained Optimization Formulation of Imaging Inverse Problems

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