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A globally accelerated numerical method for optical tomography with continuous wave source
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H. Shan
Veröffentlicht/Copyright:
24. Januar 2008
Abstract
A new numerical method for an inverse problem for an elliptic equation with unknown potential is proposed. In this problem the point source is running along a straight line and the source-dependent Dirichlet boundary condition is measured as the data for the inverse problem. A rigorous convergence analysis shows that this method converges globally, provided that the so-called tail function is approximated well. This approximation is verified in numerical experiments, so as the global convergence. Applications to medical imaging, imaging of targets on battlefields and to electrical impedance tomography are discussed.
Key words.: Globally reconstruction algorithm; inverse problems; numerical approximation and analysis; tomography; turbid media; medical and biological imaging
Received: 2008-04-16
Revised: 2008-07-30
Published Online: 2008-01-24
Published in Print: 2008-December
© de Gruyter 2008
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- EIT and the average conductivity
- The mappings and inverse problems for evolutionary equations
- Iterative methods for planar crack reconstruction in semi-infinite domains
- A globally accelerated numerical method for optical tomography with continuous wave source
- Complex geometrical optics solutions for anisotropic equations and applications
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Schlagwörter für diesen Artikel
Globally reconstruction algorithm;
inverse problems;
numerical approximation and analysis;
tomography;
turbid media;
medical and biological imaging
Artikel in diesem Heft
- EIT and the average conductivity
- The mappings and inverse problems for evolutionary equations
- Iterative methods for planar crack reconstruction in semi-infinite domains
- A globally accelerated numerical method for optical tomography with continuous wave source
- Complex geometrical optics solutions for anisotropic equations and applications
- Solution of ill-posed problems on sets of functions convex along all lines parallel to coordinate axes
