Convergence and stability assessment of Newton-Kantorovich reconstruction algorithms for microwave tomography

For newly developed iterative Newton-Kantorovitch reconstruction techniques, the quality of the final image depends on both experimental and model noise. Experimental noise is inherent to any experimental acquisition scheme, while model noise refers to the accuracy of the numerical model, used in the reconstruction process, to reproduce the experimental setup. This paper provides a systematic assessment of the major sources of experimental and model noise on the quality of the final image. This assessment is conducted from experimental data obtained with a microwave circular scanner operating at 2.33 GHz. Targets to be imaged include realistic biological structures, such as a human forearm, as well as calibrated samples for the sake of accuracy evaluation. The results provide a quantitative estimation of the effect of experimental factors, such as temperature of the immersion medium, frequency, signal-to-noise ratio, and various numerical parameters.

[1]  W. Chew,et al.  Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. , 1990, IEEE transactions on medical imaging.

[2]  C. Pichot,et al.  Inverse scattering: an iterative numerical method for electromagnetic imaging , 1991 .

[3]  Nadine Joachimowicz Tomographie microonde : contribution a la reconstruction quantitative bidimensionnelle et tridimensionnelle , 1990 .

[4]  L. Jofre,et al.  Cylindrical geometry: a further step in active microwave tomography , 1991 .

[5]  Ch. Pichot,et al.  Planar microwave imaging camera for biomedical applications: Critical and prospective analysis of reconstruction algorithms , 1991 .

[6]  A. Roger,et al.  Newton-Kantorovitch algorithm applied to an electromagnetic inverse problem , 1981 .

[7]  Lluis Jofre,et al.  Planar and cylindrical active microwave temperature imaging: numerical simulations , 1992, IEEE Trans. Medical Imaging.

[8]  P. M. Berg,et al.  A modified gradient method for two-dimensional problems in tomography , 1992 .

[9]  L. Jofre,et al.  Microwave tomography: an algorithm for cylindrical geometries , 1987 .

[10]  Juan Manuel Rius Casals,et al.  Planar and cylindrical active microwave temperature imaging... , 1992 .

[11]  Antonio Elias Fusté,et al.  Cylindrical geometry: a further step in active microwave tomography , 1991 .

[12]  L. E. Larsen,et al.  Water-Immersed Microwave Antennas and Their Application to Microwave Interrogation of Biological Targets , 1979 .

[13]  Chien-Ching Chiu,et al.  Inverse scattering of a buried conducting cylinder , 1991 .

[14]  C. Pichot,et al.  Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method , 1997 .

[15]  L. Jofre,et al.  Medical imaging with a microwave tomographic scanner , 1990, IEEE Transactions on Biomedical Engineering.

[16]  Ann Franchois,et al.  Contribution a la tomographie microonde : algorithmes de reconstruction quantitative et verifications experimentales , 1993 .

[17]  A. Stogryn,et al.  Equations for Calculating the Dielectric Constant of Saline Water (Correspondence) , 1971 .

[18]  Jordi J. Mallorquí Métodos numéricos para aplicaciones biomédicas: problemas directo e inverso electromagnéticos , 1995 .

[19]  Jordi J. Mallorqui,et al.  Quantitative images of large biological bodies in microwave tomography by using numerical and real data , 1996 .