Limited-angle 3-D reconstructions using Fourier transform iterations and Radon transform iterations [electronic resource].
- Berkeley, Calif. : University of California, Berkeley, 1979.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- Pages: 10 : digital, PDF file
- Additional Creators:
- University of California, Berkeley
United States. Department of Energy. Office of Scientific and Technical Information
- The principles of limited-angle reconstruction of space-limited objects using the concepts of allowed cone and missing cone in Fourier space are discussed. The distortion of a point source resulting from setting the Fourier components in the missing cone to zero was calculated mathematically, and its bearing on the convergence of an iteration scheme involving Fourier transforms was analyzed in detail. It was found that the convergence rate is fairly insensitive to the position of the point source within the boundary of the object, apart from an edge effect that tends to enhance some parts of the boundary in reconstructing the object. Another iteration scheme involving Radon transforms was introduced and compared to the Fourier transform method in such areas as root mean square error, stability with respect to noise, and computer reconstruction time. 8 figures, 2 tables.
- Published through SciTech Connect.
International optical computing conference, Washington, DC, USA, 7 Apr 1980.
Perez-Mendez, V.; Tam, K.C.
- Funding Information:
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