Novikov's inversion formula for the attenuated Radon transform -- a new approach
Let \(L\) be a line on the 2-dimensional plane, and let \(R_\rho f(L)=\int_L f (\cdot) \rho(L, \cdot) ds\) be the weighted (attenuated) Radon transform of \(f\) where the weight function \(\rho\) has a special form. Explicit inversion formula for \(R_\rho\) was obtained in the famous paper by \textit{R. G. Novikov} [Ark. Mat. 40, No. 1, 145--167 (2002; Zbl 1036.53056)]. The authors obtain similar results for a larger class of weight functions using completely different and quite elementary methods.
scientific article; zbMATH DE number 2147096