Acoustic Impedance Tomography: Two Reconstruction Procedures
Echography is a qualitative imaging technique. Grey levels are arbitrary, without any physical significance. Going further, i.e. attributing to each “pixel” a determined value of a determined parameter needs discussing the problem in physical terms, in inverse scattering terms. This is why the acoustic modelization problem is very important: it is necessary to have a good simple physical modelization, i.e. with the minimum number of parameters. We propose here a very synthetic formulation with only one explicit parameter: the Acoustic Impedance Profile, which is well adapted to backscattering. The non-linear 3-D inverse scattering problem has no solution. So we propose a linear approximation, by using a tomographic reconstruction procedure. A brief description of the advancement of the experimental system is given at the end of the paper.
KeywordsInverse Fourier Transform Acoustic Impedance Spectral Cover Diffraction Tomography Synthetic Formulation
Unable to display preview. Download preview PDF.
- 1.J.P. Lefebvre, “Quelques méthodes quantitatives d’investigation par ultrasons”, Thesis, University of Provence, 1981.Google Scholar
- 2.J.P. Jones, “Ultrasonic impedography and its application to tissue characterization”, in: recent advances in ultrasound in Biomedicine. On White Ed. - Research Studies Press, London 1977.Google Scholar
- 3.J.P. Lefebvre, “Théorie dune m6thode quantitative d’ investigation d es milieux stratifiés: 1’impédographie acoustique”, Acustica, vol. 41, no. 1, 1978.Google Scholar
- 4.H. Stark, I. Paul, “An investigation of computerized tomography by direct Fourier inversion and optimum interpolation”, I.EE Trans. Biomed. Eng., BME - 28, 1981.Google Scholar
- 5.R.M. Mersereau, A.V. Oppenheim, “Digital reconstruction of multi-dimensional signals from their projections”, Proc. IEEE, vol. 62, 1974.Google Scholar
- 6.A.J. Devaney, “A filtered back propagation algorithm for diffraction tomography”. Ultrasonic Imaging, vol. 4, 1982.Google Scholar