A globally accelerated numerical method for optical tomography with continuous wave source

DOI10.1515/JIIP.2008.048zbMath1152.34312arXiv0809.3910MaRDI QIDQ5302614

Jianzhong Su, Michael V. Klibanov, Hua Shan, Hanli Liu, Natee Pantong

Publication date: 8 January 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3910

zbMATH Keywords

inverse problemstomographynumerical approximation and analysismedical and biological imagingturbid mediaglobally reconstruction algorithm

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems involving ordinary differential equations (34A55)

Related Items (6)

Optical imaging of phantoms from real data by an approximately globally convergent inverse algorithm ⋮ A globally convergent numerical method for an inverse elliptic problem of optical tomography ⋮ Approximate global convergence and quasireversibility for a coefficient inverse problem with backscattering data ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ A globally convergent numerical method for coefficient inverse problems for thermal tomography ⋮ The philosophy of the approximate global convergence for multidimensional coefficient inverse problems

Cites Work

• Global uniqueness for a two-dimensional inverse boundary value problem
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• Numerical Solution of a Subsurface Imaging Inverse Problem
• Numerical studies on the globally convergent convexification algorithm in 2D
• Dynamical variant of the BC-method: theory and numerical testing
• Optical tomography in medical imaging
• Boundary control in reconstruction of manifolds and metrics (the BC method)
• An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
• On optimization techniques for solving nonlinear inverse problems
• Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods
• Numerical implementation of the convexification algorithm for an optical diffusion tomograph

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