New consistency theorem of motion contaminated projection data and applications in motion artifacts correction

Jie Tang; Pascal Thériault Lauzier; Zhihua Qi; Timothy Szczykutowicz; Guang-Hong Chen

doi:10.1117/12.911390

3 March 2012 New consistency theorem of motion contaminated projection data and applications in motion artifacts correction

Jie Tang, Pascal Thériault Lauzier, Zhihua Qi, Timothy Szczykutowicz, Guang-Hong Chen

Author Affiliations +

Proceedings Volume 8313, Medical Imaging 2012: Physics of Medical Imaging; 83131E (2012) https://doi.org/10.1117/12.911390
Event: SPIE Medical Imaging, 2012, San Diego, California, United States

Abstract

In recent years, iterative image reconstruction algorithms have received much interest in x-ray CT imaging. Images reconstructed by the conventional filtered backprojection algorithm are often used as seed images to start the iterations. This paper presents a new consistency property of the measured CT projection data and the forward projected data from a motion contaminated image reconstructed using an analytical image reconstruction algorithm. It is theoretically proven and numerically validated that, when the measured projection data is not redundant, the measured projection data is consistent with the forward projected data of a reconstructed image using analytical image reconstruction algorithms, no matter whether motion artifacts are present in the image or not. However, when there is redundancy in the measured projection data, the consistency depends on the choice of weighting function used for the redundant data. The forward projected data is always consistent with those measured projections with the weight 1.0, no matter what weighting schemes are used. For the measured projection data with a weight smaller than 1.0, the forward projected data is consistent with the weighted sum of redundantly measured projection data. With this new property, some potential issues of directly using FBP images as seed images for iterative algorithms are discussed.

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Jie Tang, Pascal Thériault Lauzier, Zhihua Qi, Timothy Szczykutowicz, and Guang-Hong Chen "New consistency theorem of motion contaminated projection data and applications in motion artifacts correction", Proc. SPIE 8313, Medical Imaging 2012: Physics of Medical Imaging, 83131E (3 March 2012); https://doi.org/10.1117/12.911390

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