Unified fast reconstruction algorithm for conventional, phase-contrast, and diffraction tomography

Author:

Gureyev Timur E.1ORCID,Brown Hamish G.2,Quiney Harry M.,Allen Leslie J.

Affiliation:

1. Monash University

2. University of Melbourne

Abstract

A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based, phase-contrast, or diffraction imaging using x rays, electrons, and other forms of penetrating radiation or matter waves. Both the phase retrieval (also known as contrast transfer function correction) and the effect of Ewald sphere curvature (in the cases with a shallow depth of field and significant in-object diffraction) are incorporated in the proposed algorithm and can be taken into account. Multiple scattering is not treated explicitly but can be mitigated as a result of angular averaging that constitutes an essential feature of the method. The corresponding numerical algorithm is based on three-dimensional gridding which allows for fast computational implementation, including a straightforward parallelization. The algorithm can be used with any scanning geometry involving plane-wave illumination. A software code implementing the proposed algorithm has been developed, tested on simulated and experimental image data, and made publicly available.

Funder

National Health and Medical Research Council

Publisher

Optica Publishing Group

Subject

Computer Vision and Pattern Recognition,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Recent developments in X-ray diffraction/scattering computed tomography for materials science;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-09-11

2. Three-dimensional contrast-transfer-function approach in phase-contrast tomography;Journal of the Optical Society of America A;2023-06-01

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