Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 58, Issue 12, Pages 4015-4024Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2010.2078440
Keywords
Contrast source inversion; microwave tomography; nonlinear inversion; singular value decomposition
Funding
- National Sciences and Engineering Research Council of Canada (NSERC) [138417-06]
- Fonds quebecois de la recherche sur la nature et les technologies (FQRNT) [PR-113254]
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An alternative formulation of the microwave tomography problem is proposed, in order to reduce the computation time of the inversion procedure. The well-known multiplicative regularized contrast source inversion method is used as reference algorithm. Our formulation is based on a truncated singular value decomposition of the matrix involved in the most computationally intensive operations of the inversion algorithm. After theoretical and practical investigation of the behavior of the singular values, it is shown that the corresponding approximation does not yield any significant degradation of the quality of the solutions even for large complex permittivity contrasts, while the computation times are reduced by a factor ranging between 1.1 and 6 with respect to the original method.
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