A method for virtual optical sectioning and tomography utilizing shallow depth of field
T.E. Gureyev, H.M. Quiney, L.J. Allen

TL;DR
This paper introduces a novel method for 3D internal structure reconstruction of objects using planar transmission images, applicable across various radiation and matter wave techniques, with potential uses in microscopy and imaging.
Contribution
The paper presents a new approach for virtual optical sectioning and tomography that leverages shallow depth of field for high-resolution 3D imaging, supported by a detailed reconstruction algorithm.
Findings
Demonstrated 3D electron transmission imaging of a nanoparticle
Applicable to multiple imaging modalities like electron microscopy and X-ray microscopy
Effective under realistic radiation dose and spatial resolution constraints
Abstract
A method is proposed for high-resolution, three-dimensional reconstruction of internal structure of objects from planar transmission images. The described approach can be used with any form of radiation or matter waves, in principle, provided that the depth of field is smaller than the thickness of the sample. The physical optics basis for the method is elucidated and the reconstruction algorithm is presented in detail. A simulated example demonstrates an application of the method to three-dimensional electron transmission imaging of a nanoparticle under realistic radiation dose and spatial resolution constraints. It is envisaged that the method can be applicable in high-resolution transmission electron microscopy, soft X-ray microscopy, ultrasound imaging and other areas.
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