References & Citations
Mathematics > Numerical Analysis
Title: Analysis of view aliasing for the generalized Radon transform in $\mathbb R^2$
(Submitted on 2 Feb 2023 (v1), last revised 8 Jun 2023 (this version, v2))
Abstract: In this paper we consider the generalized Radon transform $\mathcal R$ in the plane. Let $f$ be a piecewise smooth function, which has a jump across a smooth curve $\mathcal S$. We obtain a formula, which accurately describes view aliasing artifacts away from $\mathcal S$ when $f$ is reconstructed from the data $\mathcal R f$ discretized in the view direction. The formula is asymptotic, it is established in the limit as the sampling rate $\epsilon\to0$. 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.
Submission history
From: Alexander Katsevich [view email][v1] Thu, 2 Feb 2023 20:56:31 GMT (1028kb,D)
[v2] Thu, 8 Jun 2023 19:32:57 GMT (1198kb,D)
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