Title : ( A quaternionic approach to x-ray transform inversion in \sbb{R}^3 )
Authors: Seyed Majid Saberi Fathi , T.T. Truong , M K Nguyen ,
Full TextAbstract
A new derivation of the inverse of the x-ray transform is presented based on quaternion analysis. As pointed out by practitioners, a direct inversion formula offers more efficient reconstruction algorithms than tomographic inversion. It is shown that the new inverse formula is equivalent to the existing one. The advantage of this approach is that it paves the way for a potential inversion of the x-ray transform with a non-uniform attenuation map in three dimensions, which models single photon emission imaging in nuclear medicine.
Keywords
, x-ray, quaternionic analysis, medical imaging
@article{paperid:1027557,
author = {Saberi Fathi, Seyed Majid and T.T. Truong and M K Nguyen},
title = {A quaternionic approach to x-ray transform inversion in \sbb{R}^3},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2009},
volume = {42},
number = {41},
month = {October},
issn = {1751-8113},
pages = {415205--415219},
numpages = {14},
keywords = {x-ray; quaternionic analysis; medical imaging},
}
%0 Journal Article
%T A quaternionic approach to x-ray transform inversion in \sbb{R}^3
%A Saberi Fathi, Seyed Majid
%A T.T. Truong
%A M K Nguyen
%J Journal of Physics A: Mathematical and Theoretical
%@ 1751-8113
%D 2009
