Noise characteristics of x-ray differential phase contrast CT

Joseph Zambelli; Ke Li; Nicholas Bevins; Zhihua Qi; Guang-Hong Chen

doi:10.1117/12.878497

16 March 2011 Noise characteristics of x-ray differential phase contrast CT

Joseph Zambelli, Ke Li, Nicholas Bevins, Zhihua Qi, Guang-Hong Chen

Proceedings Volume 7961, Medical Imaging 2011: Physics of Medical Imaging; 79613N (2011) https://doi.org/10.1117/12.878497
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

The noise characteristics of x-ray differential phase contrast computed tomography (DPC-CT) were investigated. Both theoretical derivation and experimental results demonstrated that the dependence of noise variance on spatial resolution in DPC-CT follows an inverse linear law. This behavior distinguishes DPC-CT from conventional absorption based x-ray CT, where the noise variance varies inversely with the cube of the spatial resolution. This anomalous noise behavior in DPC-CT is due to the Hilbert filtering kernel used in the CT reconstruction algorithm, which equally weights all spatial frequency content. Additionally, we demonstrate that the noise power of DPC-CT is scaled by the inverse of spatial frequency and is highly concentrated at the low spatial frequencies, whereas conventional absorption CT increases in power at the high spatial frequencies.

Citation Download Citation

Joseph Zambelli, Ke Li, Nicholas Bevins, Zhihua Qi, and Guang-Hong Chen "Noise characteristics of x-ray differential phase contrast CT", Proc. SPIE 7961, Medical Imaging 2011: Physics of Medical Imaging, 79613N (16 March 2011); https://doi.org/10.1117/12.878497

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