Title : ( The R3 exponential x-ray transform inversion in quaternion analysis )
Authors: Seyed Majid Saberi Fathi ,
Full TextAbstract
In this paper, we present a new derivation of the inverse of the exponential x-ray transform in the three dimensions, based on quaternion analysis. An explicit formula is obtained using a set of three-dimensional x-ray projection data. The result without attenuation is recovered as a special case.
Keywords
, Exponential x-ray, quaternion analysis, medical imaging
@article{paperid:1027555,
author = {Saberi Fathi, Seyed Majid},
title = {The R3 exponential x-ray transform inversion in quaternion analysis},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2010},
volume = {43},
number = {29},
month = {June},
issn = {1751-8113},
pages = {295203--295214},
numpages = {11},
keywords = {Exponential x-ray; quaternion analysis; medical imaging},
}
%0 Journal Article
%T The R3 exponential x-ray transform inversion in quaternion analysis
%A Saberi Fathi, Seyed Majid
%J Journal of Physics A: Mathematical and Theoretical
%@ 1751-8113
%D 2010
