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Contour reconstruction in diffraction tomography
Author(s) -
Ladas Kostas T.,
Tsihrintzis George A.
Publication year - 1990
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.1850020208
Subject(s) - diffraction tomography , tomography , diffraction , algorithm , tomographic reconstruction , computer science , scattering , iterative reconstruction , inverse scattering problem , inverse problem , optics , mathematics , mathematical analysis , artificial intelligence , physics
We address the problem of reconstructing the directional derivative and/or the Laplacian of an object function f characterizing a weakly inhomogeneous scatterer directly from data collected in a set of scattering experiments. We employ the Rytov approximation to model the complex phase of the scattered wavefields and show that a minimum‐norm least‐squares solution can be obtained from the well known filtered backpropagation algorithm of diffraction tomography with appropriate modification of the tomographic filters employed in the filtering step of the algorithm. The procedure is illustrated by a computer simulation study.