Comparative evaluation of linear interpolation models for
iterative reconstruction in X-ray CT

K. Schmitt; H. Schöndube; K. Stierstorfer; J. Hornegger; F. Noo

doi:10.1117/12.2008175

6 March 2013 Comparative evaluation of linear interpolation models for iterative reconstruction in X-ray CT

K. Schmitt, H. Schöndube, K. Stierstorfer, J. Hornegger, F. Noo

Proceedings Volume 8668, Medical Imaging 2013: Physics of Medical Imaging; 86681N (2013) https://doi.org/10.1117/12.2008175
Event: SPIE Medical Imaging, 2013, Lake Buena Vista (Orlando Area), Florida, United States

Abstract

The forward projection operator is a key component of every iterative reconstruction method in X-ray computed tomography (CT). Besides the choices being made in the definition of the objective function and associated constraints, the forward projection model affects both bias and noise properties of the reconstruction. In this work, we compare three important forward projection models that rely on linear interpolation: the Joseph method, the distance-driven method, and the image representation using B-splines of order n = 1. The comparison focuses on bias and noise in the image as a function of the resolution. X-ray CT data that are simulated in fan-beam geometry with two different magnification factors are used.

Citation Download Citation

K. Schmitt, H. Schöndube, K. Stierstorfer, J. Hornegger, and F. Noo "Comparative evaluation of linear interpolation models for iterative reconstruction in X-ray CT", Proc. SPIE 8668, Medical Imaging 2013: Physics of Medical Imaging, 86681N (6 March 2013); https://doi.org/10.1117/12.2008175

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