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. 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
Alexander Katsevich (Fri,) studied this question.