Wireless digital communication networks are rapidly expanding resulting in a demand for reliable and high spectral efficiency systems. Multi-Carrier Code Division Multiple Access (MC-CDMA) has emerged recently as a promising candidate for the next generation broad-band mobile networks. Also it was found recently that Radon-discrete wavelet transform (DWT) based Orthogonal Frequency Division Mul...

Objective: To acknowledge the work and life of the Austrian mathematician Johann Radon, motivated by a historical narrative on the development of the computed tomography scanner. Methods: Information was obtained from journal articles, textbooks, the Nobel web site, and proceedings from mathematical symposiums. Results: The computed tomography scanner changed the paradigm of medical imaging. Th...

In this paper, we address the problem of the rotationinvariant texture analysis. For this purpose, we first present a modified version of the discrete Radon transform whose performance, including accuracy and processing time, is significantly better than the conventional transform in direction estimation and categorization of textural images. We then utilize this transform with a rotated versio...

In this paper, we present some new relationship between the divergent beam projection and the Radon transform. An application of our results is to implement the Radon inversion from divergent beam projection.

T he Hough transform is a useful technique in the detection of straight lines and curves in an image. Due to the mathematical similarity of the Hough transform and the forward Radon transform, the Hough transform can be computed using the Radon transform which, in turn, can be evaluated using the central slice theorem. This involves a two-dimensional Fourier transform, an x-y to rmapping and a ...

A method for derivation of inversion formulas for the Radon transform of f (x) is given. This method allows one to construct functions ψ(x) which are easy to compute and which have the same wave fronts as f (x). This, in turn, allows one to calculate the singular support S of f (x) by computing ψ(x) given tomographic data. A simple geometrical relation between the singular supports of f andˆf ,...

A new proof of the Second Main Theorem with truncation level 1 for Zariski-dense holomorphic curves into Abelian varieties, which has just been proved by Yamanoi [Y2], is presented. Our proof is based on the idea of the “Radon transform” introduced in [K2] combined with consideration on certain singular perturbation of the probability measures on the parameter space which appears in the “Radon ...

We consider the inverse prolem of the recovery of a gauge field in R 2 modulo gauge transformations from the non-abelian Radon transform. A global uniqueness theorem is proven for the case when the gauge field has a compact support. Extensions to the attenuated non-abelian Radon transform in R 2 and applications to the inverse scattering problem for the Schrödinger equation in R 2 with non-comp...

This paper is the tomographic images reconstruction simulation for defects detection in specimen. The specimen is the thin cylindrical steel contained with low density materials. The defects in material are simulated in three shapes.The specimen image function will be transformed to projection data. Radon transform and its inverse provide the mathematical for reconstructing tomographic images f...