DocumentCode
2381676
Title
Exponential Radon transform inversion based on harmonic analysis of the Euclidean motion group
Author
Yarman, Can Evren ; Yazici, Birsen
Author_Institution
Electr., Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Volume
3
fYear
2005
fDate
11-14 Sept. 2005
Abstract
This paper presents a new method for the exponential Radon transform inversion based on harmonic analysis of the Euclidean motion group (M(2)). The exponential Radon transform is modified to be formulated as a convolution over M(2). The convolution representation leads to a block diagonalization of the modified exponential Radon transform in the Euclidean motion group Fourier domain, which provides a deconvolution type inversion for the exponential Radon transform. Numerical examples are presented to show the viability of the proposed method.
Keywords
Fourier transforms; Radon transforms; deconvolution; harmonic analysis; image reconstruction; Euclidean motion group; Fourier domain; block diagonalization; deconvolution type inversion; exponential Radon transform inversion; harmonic analysis; reconstructed images; Attenuation; Convolution; Deconvolution; Fourier transforms; Harmonic analysis; Mathematical model; Motion analysis; Optical filters; Systems engineering and theory; Tomography;
fLanguage
English
Publisher
ieee
Conference_Titel
Image Processing, 2005. ICIP 2005. IEEE International Conference on
Print_ISBN
0-7803-9134-9
Type
conf
DOI
10.1109/ICIP.2005.1530466
Filename
1530466
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