Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities

Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities
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函数存在跳跃间断时R^3中离散Radon变换数据的重构分析

DOI:
10.1137/19m1251837
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发表时间:
2019
期刊:
SIAM J. Appl. Math.
影响因子:
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通讯作者:
A. Katsevich
A. Katsevich
中科院分区:
--
文献类型:
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作者:
A. Katsevich

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本文研究了当f$具有跳跃间断时,由$\mathbb{R}^3$中的离散Radon变换数据重构f$的问题。考虑一个传统的参数化的Ra.
In this paper we study reconstruction of a function $f$ from its discrete Radon transform data in $\mathbb{R}^3$ when $f$ has jump discontinuities. Consider a conventional parametrization of the Ra...