Synchrotron radiation-based \(l_1\)-norm regularization on micro-CT imaging in shale structure analysis

DOI10.1515/jiip-2015-0063zbMath1368.65086OpenAlexW2531292788MaRDI QIDQ2398391

Shousheng Luo, Jianqiang Wang, Yan-fei Wang, Chan Jin, Li-hua Wang

Publication date: 16 August 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0063

zbMATH Keywords

image reconstruction\(l_1\)-norm optimizationshale microstructuresparse inversionsynchrotron radiation X-ray CT

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Computational methods for problems pertaining to geophysics (86-08) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (2)

Shale Microstructure Prediction with Nonsmooth Sparse Regularizing X-Ray CT Imaging ⋮ Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate

Uses Software

• PDCO

Cites Work

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• Computational methods for applied inverse problems. Selected papers based on the presentations at the international workshop, Beijing, China, July 12--16, 2010.
• Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming
• Operators and iterative processes of Fejér type. Theory and applications.
• On the asymptotic behaviour of some new gradient methods
• Fast realization algorithms for determining regularization parameters in linear inverse problems
• Fundamentals of Computerized Tomography
• Seismic impedance inversion using l ₁-norm regularization and gradient descent methods
• ON TIKHONOV REGULARIZATION AND COMPRESSIVE SENSING FOR SEISMIC SIGNAL PROCESSING
• Gradient Methods for Large Scale Convex Quadratic Functions
• Projected Barzilai–Borwein method for large-scale nonnegative image restoration
• A review on restoration of seismic wavefields based on regularization and compressive sensing
• Image reconstruction from a small number of projections
• Definitions and examples of inverse and ill-posed problems
• Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
• Probing the Pareto Frontier for Basis Pursuit Solutions
• Atomic Decomposition by Basis Pursuit
• Gradient Method with Retards and Generalizations
• Recovering Sparse Signals With a Certain Family of Nonconvex Penalties and DC Programming
• A Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed $\ell ^{0}$ Norm
• A birth and death model of neuron firing
• Sparse Signal Reconstruction via Iterative Support Detection

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