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Su, Jianzhong; Klibanov, Michael V.; Liu, Yueming; Lin, Zhijin; Pantong, Natee; Liu, Hanli

Optical imaging of phantoms from real data by an approximately globally convergent inverse algorithm. (English) Zbl 1300.65083

Inverse Probl. Sci. Eng. 21, No. 7, 1125-1150 (2013).
Summary: A numerical method for an inverse problem for an elliptic equation with the running source at multiple positions is presented. This algorithm does not rely on a good first guess for the solution. The so-called ‘approximate global convergence’ property of this method is shown here. The performance of the algorithm is verified on real data for Diffusion Optical Tomography. Direct applications are in near-infrared laser imaging technology for stroke detection in brains of small animals.

Cited in 1 Document

MSC:

65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
92C55 Biomedical imaging and signal processing

Keywords:

approximate global convergence property; inverse problem; diffusion optical tomography; real data; algorithm convergence
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References:

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