数学]中广义拉顿变换的视差分析

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-02-23 DOI:10.1137/23m1554746

Alexander Katsevich

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引用次数: 0

摘要

SIAM 影像科学杂志》第 17 卷第 1 期第 415-440 页，2024 年 3 月。摘要本文考虑平面内的广义 Radon 变换 [math]。设[math]是一个片断光滑函数，它在光滑曲线[math]上有一个跳跃。我们得到了一个公式，当[math]从视图方向离散的数据[math]重建时，它能准确描述远离[math]的视图混叠伪影。该公式是渐近公式，在采样率[math]的极限范围内成立。所提出的方法并不要求 [math] 具有频带限制。经典拉顿变换和广义拉顿变换（对圆进行积分）的数值实验证明了公式的准确性。

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Analysis of View Aliasing for the Generalized Radon Transform in [math]

SIAM Journal on Imaging Sciences, Volume 17, Issue 1, Page 415-440, March 2024.
Abstract. In this paper we consider the generalized Radon transform [math] in the plane. Let [math] be a piecewise smooth function, which has a jump across a smooth curve [math]. We obtain a formula, which accurately describes view aliasing artifacts away from [math] when [math] is reconstructed from the data [math] discretized in the view direction. The formula is asymptotic, it is established in the limit as the sampling rate [math]. The proposed approach does not require that [math] be band-limited. Numerical experiments with the classical Radon transform and generalized Radon transform (which integrates over circles) demonstrate the accuracy of the formula.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464