Mixed total variation and \(L^1\) regularization method for optical tomography based on radiative transfer equation

DOI10.1155/2017/2953560zbMath1369.92065OpenAlexW2586719056WikidataQ37661399 ScholiaQ37661399MaRDI QIDQ2401096

Bo Han, Jinping Tang, Bo Bi, Weimin Han, Li Li

Publication date: 31 August 2017

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2953560

zbMATH Keywords

radiative transfer equationtotal variation regularization\(L^1\) regularization method

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55)

Related Items (4)

RTE-based parameter reconstruction with \(T V + L^1\) regularization ⋮ Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit ⋮ A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems ⋮ Nonconvex and nonsmooth total variation regularization method for diffuse optical tomography based on RTE ^*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reconstruction method for optical tomography based on the linearized Bregman iteration with sparse regularization
• Image reconstruction for diffuse optical tomography based on radiative transfer equation
• Image recovery via total variation minimization and related problems
• Inverse acoustic and electromagnetic scattering theory.
• An algorithm for total variation minimization and applications
• An algorithm for total variation regularized photoacoustic imaging
• RTE-based bioluminescence tomography: A theoretical study
• Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
• A Theoretical Framework of X-Ray Dark-Field Tomography
• The Split Bregman Method for L1-Regularized Problems
• Near infrared optical tomography using NIRFAST: Algorithm for numerical model and image reconstruction
• A Fast-Forward Solver of Radiative Transfer Equation
• High-Order Total Variation-Based Image Restoration
• A theoretical study for RTE-based parameter identification problems

This page was built for publication: Mixed total variation and \(L^1\) regularization method for optical tomography based on radiative transfer equation