radon transformation
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2021 ◽  
Vol 29 (7) ◽  
pp. 1678-1685
Author(s):  
Cheng-hua CAO ◽  
◽  
Wen-bo WU ◽  
Yu WANG

2020 ◽  
Vol 38 (3) ◽  
pp. 619-631 ◽  
Author(s):  
Rania A. Eltaieb ◽  
Ahmed E. A. Farghal ◽  
HossamEl-din H. Ahmed ◽  
Waddah S. Saif ◽  
Amr Ragheb ◽  
...  

Author(s):  
Ziyaudin Medzhidov

We consider the Radon transformation defined on circular cones called the conical Radon transform. In the three-dimensional space $R^{3}$, it maps the functions to its surface integrals over a circular cone, and in $R^{2}$ to its integrals over two rays with a common vertex. In this paper, we present new formulas for inversion of k-weighted conical and X-ray Radon transformations under complete and incomplete data in $R^{2}$ and $R^{3}$.


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