22 August 1980 Limited-Angle 3-D Reconstructions Using Fourier Transform Iterations And Radon Transform Iterations
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Proceedings Volume 0231, 1980 Intl Optical Computing Conf I; (1980); doi: 10.1117/12.958841
Event: 1980 Technical Symposium East, 1980, Washington, D.C., United States
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 analysed 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.
© (1980) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kwok-Cheong Tam, Victor Perez-Mendez, "Limited-Angle 3-D Reconstructions Using Fourier Transform Iterations And Radon Transform Iterations", Proc. SPIE 0231, 1980 Intl Optical Computing Conf I, (22 August 1980); doi: 10.1117/12.958841; https://doi.org/10.1117/12.958841

Fourier transforms

Radon transform


Optical computing

Optical transfer functions



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