Tomographic And Projective Reconstruction Of 3-D Image Detail In Inverse Scattering

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Abstract
A procedure for accessing the 3-D Fourier space of a conducting or nondispersively scattering object by angular (aspect) and spectral diversity is described. Cost-effectiiie data acquisition in the microwave regime is achieved by substituting spectral degrees of freedom for the more costly angular degrees of freedom set by the number of observation points defining the imaging aperture. A novel target de/Lived Aeietence (TDR) technique is utilized to generate a synthetic phase reference signal emanating from a point on the target achiev-ing thereby a 3-D teri4te44 Fourciek hotognam re-cording arrangement that has many practical advantages. Application of the ptojection-slice theorem, derivable from the multidimensional Fourier transform, to the accessed Fourier space volume is shown to allow the retrieval of 3-D image detail. This can be achieved either tomogra-phically in slices _(or cross-sectional outlines) or as shown here in the form of a projection image of the object scattering function. Examples of micro-wave data acquisition, data normalization for an undesirable range dependent phase term via the TDR method, and image reconstruction are presented for a complex conducting test object. The results shown herald a new generation of high resolution 3-D imaging radars and can be applied in NDE (non-destructive evaluation), biomedical imaging, and remote sensing applications.

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