Limited-angle three-dimensional reconstructions using Fourier transform iterations and Radon transform iterations
- General Electric, Schenectady, NY
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 has been calculated mathematically, and its bearing on the convergence of an iteration scheme involving Fourier transforms has been 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 which 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.
- OSTI ID:
- 6319339
- Journal Information:
- Opt. Eng.; (United States), Vol. 20:4
- Country of Publication:
- United States
- Language:
- English
Similar Records
tomoCAM : fast model-based iterative reconstruction via GPU acceleration and non-uniform fast Fourier transforms
Radiation dose reduction in medical x-ray CT via Fourier-based iterative reconstruction