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Med Phys. 2011 Feb;38(2):584-8.

Scaling law for noise variance and spatial resolution in differential phase contrast computed tomography.

Author information

  • 1Department of Medical Physics, University of Wisconsin-Madison, Madison, Wisconsin 53705, USA.

Abstract

PURPOSE:

The noise variance versus spatial resolution relationship in differential phase contrast (DPC) projection imaging and computed tomography (CT) are derived and compared to conventional absorption-based x-ray projection imaging and CT.

METHODS:

The scaling law for DPC-CT is theoretically derived and subsequently validated with phantom results from an experimental Talbot-Lau interferometer system.

RESULTS:

For the DPC imaging method, the noise variance in the differential projection images follows the same inverse-square law with spatial resolution as in conventional absorption-based x-ray imaging projections. However, both in theory and experimental results, in DPC-CT the noise variance scales with spatial resolution following an inverse linear relationship with fixed slice thickness.

CONCLUSIONS:

The scaling law in DPC-CT implies a lesser noise, and therefore dose, penalty for moving to higher spatial resolutions when compared to conventional absorption-based CT in order to maintain the same contrast-to-noise ratio.

PMID:
21452695
[PubMed - indexed for MEDLINE]
PMCID:
PMC3030613
Free PMC Article
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