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Three-Dimensional Diffraction Tomography Using Filtered Backpropagation and Multiple Illumination Planes

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5 Author(s)
Angelos T. Vouldis ; Sch. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens ; Costas N. Kechribaris ; Theofanis A. Maniatis ; Konstantina S. Nikita
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In this paper, a three-dimensional (3-D) extension of the well-known filtered-backpropagation (FBP) algorithm is presented with the aim of taking into account scattered-field-data measurements obtained using incident directions not restricted in a single plane. The FBP algorithm has been extensively used to solve the two-dimensional inverse-scattering problem under the first-order Born and Rytov approximations for weak scatterers. The extension of this algorithm in three dimensions is not straightforward, because the task of collecting the data needed to obtain a low-pass filtered version of the scattering object, taking into account all spatial frequencies within a radius of radic2k0, and of incorporating these data to the FBP algorithm, needs to be addressed. A simple extension using incident field directions restricted to a single plane (illumination plane) leaves a region of spatial frequencies of the sphere of radius radic2k 0 undetermined. The locus of these spatial frequencies may be crucial for the accurate reconstruction of objects which do not vary slowly along the axis perpendicular to the illumination plane. The proposed 3-D FBP algorithm presented here is able to incorporate the data collected from more than one illumination plane and to ensure the reliability of the reconstruction results

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IEEE Transactions on Instrumentation and Measurement  (Volume:55 ,  Issue: 6 )