scholarly journals An explicit inversion formula for the exponential Radon transform using data from 180°

2004 ◽  
Vol 42 (2) ◽  
pp. 353-362 ◽  
Author(s):  
Hans Rullgård
Keyword(s):  
Radon Transform ◽  
Inversion Formula ◽  
Using Data ◽  
Exponential Radon Transform

The d-plane radon transform on the torus $$ \mathbb{T}^n $$

2011 ◽  
Vol 14 (2) ◽  
Author(s):  
Ahmed Abouelaz
Keyword(s):  
Radon Transform ◽  
Inversion Formula ◽  
Flat Torus ◽  
Smooth Functions ◽  
Suitable Function

AbstractWe define and study the d-plane Radon transform, namely R, on the n-dimensional (flat) torus. The transformation R is obtained by integrating a suitable function f over all d-dimensional geodesics (d-planes in the torus). We specially establish an explicit inversion formula of R and we give a characterization of the image, under the d-plane Radon transform, of the space of smooth functions on the torus.

Noise properties of the inverse π-scheme exponential radon transform

2002 ◽  
Author(s):  
Emil Sidky ◽  
Chien-Min Kao ◽  
Patrick J. La Riviere ◽  
Xiaochuan Pan
Keyword(s):  
Radon Transform ◽  
Exponential Radon Transform
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