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DirectFourier Reconstruction In Tomography And Synthetic Aperture Radar
 Intl. J. Imaging Sys. and Tech
, 1998
"... We investigate the use of directFourier (DF) image reconstruction in computerized tomography and synthetic aperture radar (SAR). One of our aims is to determine why the convolutionbackprojection (CBP) method is favored over DF methods in tomography, while DF methods are virtually always used in SAR ..."
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We investigate the use of directFourier (DF) image reconstruction in computerized tomography and synthetic aperture radar (SAR). One of our aims is to determine why the convolutionbackprojection (CBP) method is favored over DF methods in tomography, while DF methods are virtually always used in SAR. We show that the CBP algorithm is equivalent to DF reconstruction using a Jacobianweighted 2D periodic sinckernel interpolator. This interpolation is not optimal in any sense, which suggests that DF algorithms utilizing optimal interpolators may surpass CBP in image quality. We consider use of two types of DF interpolation: a windowed sinc kernel, and the leastsquares optimal Yen interpolator. Simulations show that reconstructions using the Yen interpolator do not possess the expected visual quality, because of regularization needed to preserve numerical stability. Next, we show that with a concentricsquares sampling scheme, DF interpolation can be performed accurately and efficiently...
Signal Processing Issues In Synthetic Aperture Radar And Computer Tomography
, 1998
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Reconstructing Incomplete Signals Using Nonlinear Interpolation and Genetic Algorithms
"... This paper describes a general, nonanalytical method for deriving Fourier series coefficients using a genetic algorithm. Nonanalytical methods are often needed in problems where lost portions of a complex signal require restoration. We discuss some of the difficulties involved in working with ..."
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This paper describes a general, nonanalytical method for deriving Fourier series coefficients using a genetic algorithm. Nonanalytical methods are often needed in problems where lost portions of a complex signal require restoration. We discuss some of the difficulties involved in working with the associated trigonometric polynomials and propose an alternative solution for adapting genetic algorithms for this class of problems. We demonstrate the efficacy of our approach with a case study. Our particular case study features the processing of data that has been collected by a novel optical waveslope instrument, which measures the topography of water surfaces. I. INTRODUCTION The study of orthogonal functions has long existed in the genetic algorithm (GA) literature. Bethke was among the earliest to study GAswith orthogonal functions in his dissertation [1]. De Jong referenced Bethke's work at the First International Conference on Genetic Algorithms [6] and Goldberg als...