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

Qiaofeng Xu, Emil Y. Sidky, Xiaochuan Pan, Marco Stampanoni, Peter Modregger, Mark A. Anastasio

Research output: Contribution to journalArticle

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 onedimensional (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.

Original languageEnglish (US)
Pages (from-to)10724-10749
Number of pages26
JournalOptics Express
Volume20
Issue number10
DOIs
StatePublished - May 7 2012
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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