Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/22913
Title: The discrete periodic radon transform
Authors: Hsung, T
Lun, DPK 
Siu, WC 
Issue Date: 1996
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on signal processing, 1996, v. 44, no. 10, p. 2651-2657 How to cite?
Journal: IEEE transactions on signal processing 
Abstract: In this correspondence a discrete periodic Radon transform and its inversion are developed. The new discrete periodic Radon transform possesses many properties similar to the continuous Radon transform such as the Fourier slice theorem and the convolution property etc. With the convolution property a 2-D circular convolution can be decomposed into 1-D circular convolutions hence improving the computational efficiency. Based on the proposed discrete periodic Kadon transform we further develop the inversion formula using the discrete Fourier slice theorem. It is interesting to note that the inverse transform is multiplication free. This important characteristic not only enables fast inversion hut also eliminates the finite-word-length error that may be generated in performing the multiplications.
URI: http://hdl.handle.net/10397/22913
ISSN: 1053-587X
EISSN: 1941-0476
DOI: 10.1109/78.539055
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