TILT：限角断层摄影中的拓扑界面恢复

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-08-19 DOI:10.1137/23m1611567

Elli Karvonen, Matti Lassas, Pekka Pankka, Samuli Siltanen

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引用次数: 0

摘要

SIAM 影像科学杂志》，第 17 卷第 3 期，第 1761-1794 页，2024 年 9 月。摘要.针对有限角度层析成像的严重求解困难的逆问题，介绍了一种新的重建方法。众所周知，根据现有的测量方法，角度指定了未知目标波前集的一个子集，而一些定向奇异点在数据中仍然不可见。有限角度断层成像的拓扑界面恢复（或称 TILT）基于在通用覆盖图下提升波前集的可见部分。在所提供的空间中，可以使用双树复合小波、专用度量和持久同源性正确连接被提升波前集的适当部分。其结果不仅是建议的不可见边界，而且是目标中所有界面的计算表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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TILT: Topological Interface Recovery in Limited-Angle Tomography

SIAM Journal on Imaging Sciences, Volume 17, Issue 3, Page 1761-1794, September 2024.
Abstract.A novel reconstruction method is introduced for the severely ill-posed inverse problem of limited-angle tomography. It is well known that, depending on the available measurement, angles specify a subset of the wavefront set of the unknown target, while some oriented singularities remain invisible in the data. Topological Interface recovery for Limited-angle Tomography, or TILT, is based on lifting the visible part of the wavefront set under a universal covering map. In the space provided, it is possible to connect the appropriate pieces of the lifted wavefront set correctly using dual-tree complex wavelets, a dedicated metric, and persistent homology. The result is not only a suggested invisible boundary but also a computational representation for all interfaces in the target.

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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

TILT： 限角断层摄影中的拓扑界面恢复

摘要

TILT：限角断层摄影中的拓扑界面恢复