Abstract

Grating-based X-ray differential phase-contrast imaging has attracted a great amount of attention and has been considered as a potential imaging method in clinical medicine because of its compatibility with the traditional X-ray tube source and the possibility of a large field of view. Moreover, phase-contrast computed tomography provides three-dimensional phase-contrast visualization. Generally, two-dimensional information retrieval performed on every projection is required prior to three-dimensional reconstruction in phase-contrast computed tomography. In this paper, a three-dimensional information retrieval method to separate absorption and phase information directly from two reconstructed images is derived. Theoretical derivations together with numerical simulations have been performed to confirm the feasibility and veracity of the proposed method. The advantages and limitations compared with the reverse projection method are also discussed. Owing to the reduced data size and the absence of a logarithm operation, the computational time for information retrieval is shortened by the proposed method. In addition, the hybrid three-dimensional images of absorption and phase information were reconstructed using an absorption reconstruction algorithm, hence the existing data pre-processing methods and iterative reconstruction algorithms in absorption reconstruction may be utilized in phase reconstruction immediately.

Highlights

  • X-ray phase-contrast imaging provides information about an object that would be otherwise inaccessible (Nugent et al, 1996; Fitzgerald, 2000) using conventional attenuation-based X-ray imaging

  • Owing to its compatibility with conventional X-ray sources and the possibility of a large field of view, grating-based X-ray phase-contrast imaging (GBPCI) has been considered as a potential imaging method in clinical medicine

  • M represents the attenuation term, which can be formulated by the integral of the absorption coefficient of the object along the light path: 2. Grating-based phase-contrast imaging setup and three-dimensional information retrieval method

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Summary

Introduction

X-ray phase-contrast imaging provides information about an object that would be otherwise inaccessible (Nugent et al, 1996; Fitzgerald, 2000) using conventional attenuation-based X-ray imaging. Phase-contrast computed tomography (PCCT) provides three-dimensional phase-contrast visualization from the retrieved two-dimensional refraction angle images at numerous tomographic viewing angles using a reconstruction algorithm. The existing data pre-processing methods and computed tomography (CT) algorithms in absorption reconstruction cannot be employed directly in phase reconstruction. Brendel et al (2016) achieved three types of information tomography using iterative reconstruction without information retrieval Inspired by these methods, we present a direct threedimensional information retrieval method, where threedimensional reconstruction can be achieved using an absorption CT algorithm before information retrieval. The existing data pre-processing methods and iterative reconstruction algorithms in absorption reconstruction may be introduced to phase reconstruction immediately. Grating-based phase-contrast imaging setup and three-dimensional information retrieval method M represents the attenuation term, which can be formulated by the integral of the absorption coefficient of the object along the light path: 2. Grating-based phase-contrast imaging setup and three-dimensional information retrieval method

Grating-based phase-contrast imaging setup
Three-dimensional information retrieval method
Numerical simulations
Discussions
Conclusions
Funding information
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