Author/Authors :
Derikvand, Tajedin International Campus, Faculty of Mathematic Sciences, Ferdowsi University of Mashhad , Kamyabi-Gol, Rajab Ali International Campus, Faculty of Mathematic Sciences, Ferdowsi University of Mashhad , Janfada, Mohammad Department of Pure Mathematics, Ferdowsi University of Mashhad
Abstract :
In this article a review on the definition of the X- ray transform and some of
its applications in Nano crystallography is presented. We shall show that the X- ray
transform is a special case of the Radon transform on homogeneous spaces when the
topological group 𝑬(𝒏) - the Euclidean group - acts on ℝ𝟐 transitively. First some
properties of the Radon transform are investigated then the relationship to texture analysis
is briefly illustrated. Finally, some of its applications in material structure detection at the
Nano scale are studied.
