The Missing Cone Problem in Computer Tomography and a Model for Interpolation in Synthetic Aperture Radar
The first part of this thesis considers the missing cone or limited view angle problem in computer tomography. In this problem only an incomplete set of projection data is available from which an image must be reconstructed. The data are limited in the sense that projections are available only over a limited view angle, a restricted perspective. The object of the algorithms presented in this thesis is to reconstruct a higher quality image than that obtainable by treating the projections as the only source of information concerning the image to be generated. This is accomplished by treating the problem in terms of spectral extrapolation. With this interpretation, various assumptions concerning the image and other forms of a priori information can be included in the data set to increase the total information content available. This larger data set allows the generation a superior image. It is shown that with data spanning over a continuous arc of only 60 degrees, that a high resolution image can be recovered; the original reconstruction, from the projection data only, is unitelligible.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign