1998
DOI: 10.1117/12.321872
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<title>Application of fast back-projection techniques for some inverse problems of synthetic aperture radar</title>

Abstract: In certain radar imaging applications one encounters the problem of reconstructing a reflectivity function from information about its averages over circles with center on a straight line. A robust inversion method is a filtered backprojection method, similar to the one used in medical tomography. We will present a fast algorithm for this backprojection operator. Numerical examples are given.

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Cited by 23 publications
(23 citation statements)
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“…Recently, algorithms have been suggested which provide a speed-up of the filtered back-projection algorithm for SAR inversion. They operate in the time domain and include two-stage [13][14][15] and multiple-stage back-projection [16][17][18]. These algorithms exploit the fundamental redundancy between nearby aperture positions for high-frequency reflectivity components in the along-track direction.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, algorithms have been suggested which provide a speed-up of the filtered back-projection algorithm for SAR inversion. They operate in the time domain and include two-stage [13][14][15] and multiple-stage back-projection [16][17][18]. These algorithms exploit the fundamental redundancy between nearby aperture positions for high-frequency reflectivity components in the along-track direction.…”
Section: Introductionmentioning
confidence: 99%
“…For some of the most important simple geometrical shapes of closed manifolds Γ, there exist analytical reconstruction formulae of series expansion and/or filtered backprojection type (see again [24] and the references therein, for instance [33,34,13,43,32,38,15,14,10]). This paper focuses on the case where Γ is a sphere in R 2 (circle) or R 3 .…”
Section: Photoacoustic Imaging As An Inverse Problemmentioning
confidence: 99%
“…with Q = 3Q(Rc Q,R ) e Rc Q,R . Equation (27) provides the smoothness estimate necessary to invoke Corollary 3. It is applied first in the y 1 variable, then in the y 2 variable.…”
Section: Recursive Dyadic Interpolationmentioning
confidence: 99%