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A quasi‐Newton reconstruction algorithm for a complex microwave imaging scanner environment
Author(s) -
Franchois A.,
Tijhuis A. G.
Publication year - 2003
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2001rs002590
Subject(s) - microwave imaging , broyden–fletcher–goldfarb–shanno algorithm , hessian matrix , algorithm , iterative reconstruction , computer science , scanner , quasi newton method , newton's method , reconstruction algorithm , lossy compression , line search , microwave , mathematics , artificial intelligence , physics , telecommunications , computer security , radius , asynchronous communication , nonlinear system , quantum mechanics
An iterative complex permittivity reconstruction technique for two‐dimensional near‐field imaging is presented. A particular feature of the algorithm is that it takes into account the complicated environment of a circular 434 MHz microwave imaging scanner, which was developed to conduct biomedical imaging experiments. This is accomplished in a computationally efficient way by means of an embedding technique. The reconstruction technique is further based on a quasi‐Newton optimization scheme with approximate line search, in which the Hessian matrix is iteratively updated with the Broyden–Fletcher–Goldfarb–Shanno (BFGS) formula. This way, second derivative information is exploited to a large extent. The technique is illustrated with complex permittivity reconstructions of homogeneous and inhomogeneous lossy dielectric cylinders of moderate and high contrast from simulated data.