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