Investigation of discrete imaging models and iterative image reconstruction in differential X-ray phase-contrast tomography.

Optics Express
Qiaofeng XuMark A Anastasio

Abstract

Differential X-ray phase-contrast tomography (DPCT) refers to a class of promising methods for reconstructing the X-ray refractive index distribution of materials that present weak X-ray absorption contrast. The tomographic projection data in DPCT, from which an estimate of the refractive index distribution is reconstructed, correspond to one-dimensional (1D) derivatives of the two-dimensional (2D) Radon transform of the refractive index distribution. There is an important need for the development of iterative image reconstruction methods for DPCT that can yield useful images from few-view projection data, thereby mitigating the long data-acquisition times and large radiation doses associated with use of analytic reconstruction methods. In this work, we analyze the numerical and statistical properties of two classes of discrete imaging models that form the basis for iterative image reconstruction in DPCT. We also investigate the use of one of the models with a modern image reconstruction algorithm for performing few-view image reconstruction of a tissue specimen.

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Citations

Jul 8, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Masih NilchianMichael Unser
Apr 29, 2014·IEEE Transactions on Medical Imaging·Kun WangMark A Anastasio
Mar 14, 2013·Optics Express·Masih NilchianMichael Unser
Jul 15, 2016·Optics Express·Michael T McCannMichael Unser
Apr 30, 2014·Physics in Medicine and Biology·Qiaofeng XuCarsten O Schirra
Apr 28, 2018·Scientific Reports·Lorenz BirnbacherFranz Pfeiffer
Sep 12, 2019·Physics in Medicine and Biology·Peter ModreggerMarco Endrizzi
Feb 12, 2014·Optics Express·Masih NilchianMichael Unser
Dec 3, 2016·Medical Physics·Katharina HahnFrédéric Noo

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Methods Mentioned

BETA
X-ray

Software Mentioned

Matlab

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