In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological group E(n)- the Euclidean group - acts on ℝ2 transitively. First someproperties of the Radon transform are investigated then the relationship ...

We propose the n-dimensional scale invariant feature transform (n-SIFT) method for extracting and matching salient features from scalar images of arbitrary dimensionality, and compare this method's performance to other related features. The proposed features extend the concepts used for 2-D scalar images in the computer vision SIFT technique for extracting and matching distinctive scale invaria...

some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

4h.,nas'c'I his paper describes a divide-and-conquer Hough transtornr technique for detecting a given number of straight edges or lines in an image, This technique is designed for implementation on a pyramid of processors, and requires only O(log a) computational steps for an image of size n x,t ords : pyramids, Hough transform, divide-and-conquer. The Hough transform is a technique for detecti...

n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.