Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774960 | Journal of Mathematical Analysis and Applications | 2017 | 21 Pages |
Abstract
We consider a generalized Radon transform (GRT) that integrates a function f(x1,x2) on R2 over a family of curves x2=u+sÏ(x1âc) with respect to the variable x1, for a real valued continuous function Ï on R, u,sâR and a fixed câR. We investigate the inversion of the GRT via the inversion of the regular Radon transform (RT). Depending on some conditions on f and Ï, we obtain some inversion formulas and also describe a method for the numerical reconstruction of f from its GRT. Numerical results are presented to demonstrate the feasibility of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zekeriya Ustaoglu,