فهرست نشریات علمی دسترسی آزاد ایران

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 ℝ 2 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.