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      Simultaneous maximum-likelihood reconstruction for x-ray grating based phase-contrast tomography avoiding intermediate phase retrieval

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          Abstract

          Phase-wrapping artifacts, statistical image noise and the need for a minimum amount of phase steps per projection limit the practicability of x-ray grating based phase-contrast tomography, when using filtered back projection reconstruction. For conventional x-ray computed tomography, the use of statistical iterative reconstruction algorithms has successfully reduced artifacts and statistical issues. In this work, an iterative reconstruction method for grating based phase-contrast tomography is presented. The method avoids the intermediate retrieval of absorption, differential phase and dark field projections. It directly reconstructs tomographic cross sections from phase stepping projections by the use of a forward projecting imaging model and an appropriate likelihood function. The likelihood function is then maximized with an iterative algorithm. The presented method is tested with tomographic data obtained through a wave field simulation of grating based phase-contrast tomography. The reconstruction results are in agreement with the expectations and proof the validity of the concept.

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          Most cited references 10

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          Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources

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            Phase-contrast imaging using polychromatic hard X-rays

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              Differential x-ray phase contrast imaging using a shearing interferometer

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                Author and article information

                Journal
                30 July 2013
                Article
                1307.7912

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                physics.med-ph physics.comp-ph

                Mathematical & Computational physics, Medical physics

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