二维矢量场的广义 V 型线变换及其反演的数值实现

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-03-07 DOI:10.1137/23m1573112

Gaik Ambartsoumian, Mohammad J. Latifi Jebelli, Rohit K. Mishra

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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 595-631 页，2024 年 3 月。摘要：本文讨论了[G. Ambartsoumian, M. J. Latifi, and R. K. Mishra, Inverse Problems, 36 (2020), 104002]中介绍的矢量场广义 V 线变换的各种反演方案的数值实现。它展示了从有噪声和无噪声的五种不同类型数据集中高效恢复未知向量场的可能性。我们检验了所提算法在各种设置下的性能，并通过在不同模型上的数值模拟说明了我们的结果。

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Numerical Implementation of Generalized V-Line Transforms on 2D Vector Fields and their Inversions

SIAM Journal on Imaging Sciences, Volume 17, Issue 1, Page 595-631, March 2024.
Abstract.The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [G. Ambartsoumian, M. J. Latifi, and R. K. Mishra, Inverse Problems, 36 (2020), 104002]. It demonstrates the possibility of efficient recovery of an unknown vector field from five different types of data sets, with and without noise. We examine the performance of the proposed algorithms in a variety of setups, and illustrate our results with numerical simulations on different phantoms.

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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