Bipolar- Radon Transform

  • Badran A 1Department of Mathematics, Faculty of Science, Damietta University, Egypt 2Department of Mathematics, Faculty of Science, Tabuk University, KSA

Abstract

This paper presents the bipolar- Radon transform (BRT)that map a function into its integrals over two types of circles. By using the bipolar coordinates, this transform reduces to the normal Radon transform Radon transform(RT). (BRT)can be applied for tomography .A direct example and the inversion are presented.

Downloads

Download data is not yet available.

References

]Faridani A 2003 Introduction to the Mathematics of Computed Tomography Inverse problems 47

]Natterer F 2001 The Mathematics of Computerized Tomography (Philadelphia , PA :SIAM)

Natterer F and Faridani (1990) Basic algorithms in tomography : Signal Processing Part II: Control Theory and Applications , 321-334. Springer

Natterer F 1986 The Mathematics of Computerized Tomography John Wiley4

Papoulis A (1967) Optimal systems, singularity functions, complex Hankel transforms ,Journal of the Optical Society of America , 57(2).pp , 207-213

Redding N.J. and Newsam G.N,(2001)Inverting the circular Radon transform ,DSTo Electronics and Surveillance Research Laboratory Report DSTO-RR-0211,Edinburgh, Australia

Published
2016-01-10
How to Cite
A, B. (2016). Bipolar- Radon Transform. Journal of Advanced Mathematics, 2(2), 12-18. Retrieved from http://asdpub.com/index.php/jam/article/view/266
Section
Original Articles

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.