Exponential Radon transform inversion based on harmonic analysis of the Euclidean motion group

C.E. Yarman, B. Yazici
2005 IEEE International Conference on Image Processing 2005  
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.
doi:10.1109/icip.2005.1530466 dblp:conf/icip/YarmanY05 fatcat:yn6ktsxg2nffll2i6gzzvgelxi