Title : ( Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in R3 using quaternionic analysis )
Authors: Seyed Majid Saberi Fathi ,
Full TextAbstract
In this paper, we present a new derivation of the inverse of the non-uniformly attenuated x-ray transform in 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
, Non-uniformly attenuated x-ray , quaternionic analysis, medical imaging
@article{paperid:1027554,
author = {Saberi Fathi, Seyed Majid},
title = {Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in R3 using quaternionic analysis},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2010},
volume = {43},
number = {33},
month = {July},
issn = {1751-8113},
pages = {335202--335214},
numpages = {12},
keywords = {Non-uniformly attenuated x-ray ; quaternionic analysis; medical imaging},
}
%0 Journal Article
%T Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in R3 using quaternionic analysis
%A Saberi Fathi, Seyed Majid
%J Journal of Physics A: Mathematical and Theoretical
%@ 1751-8113
%D 2010
