Analysis of View Aliasing for the Generalized Radon Transform in \ (R^2\)

. In this paper we consider the generalized Radon transform \ (R\) in the plane. Let \ (f\) be a piecewise smooth function, which has a jump across a smooth curve \ (S\). We obtain a formula, which accurately describes view aliasing artifacts away from \ (S\) when \ (f\) is reconstructed from the data \ (R f\) discretized in the view direction. The formula is asymptotic, it is established in the limit as the sampling rate \ (0\). The proposed approach does not require that \ (f\) be band-limited. Numerical experiments with the classical Radon transform and generalized Radon transform (which integrates over circles) demonstrate the accuracy of the formula. Keywordsaliasinggeneralized Radonreconstructionasymptotic estimatesMSC codes44A1294A2092C5594A12