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Analysis of beam hardening streaks in tomography
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DOI：10.1088/1361-6420/ae3b6b.png)
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Abstract
En 中文
The x-ray attenuation coefficient of most materials is energy-dependent, and this dependence varies among materials. Moreover, the x-ray beam in a typical computed tomography (CT) scanner has a broad energy spectrum. Therefore, image reconstruction from x-ray CT data is a nonlinear problem. If the nonlinear nature of CT data is ignored and a linear reconstruction formula is used, which is frequently the case, the resulting image contains beam-hardening artifacts such as streaks. In this work, we describe the nonlinearity of CT data using a conventional and widely accepted model. Our main contribution is the characterization of streak artifacts arising from this nonlinearity. We also obtain an explicit expression for the leading singular behavior of the reconstruction near the streaks. Finally, numerical experiments are conducted to validate the theoretical results.
Keywords:
x-ray tomography
data nonlinearity
streaks
microlocal analysis
Journal
I
IF:
2.1
Papers:
78
Citations:
8.4K
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Cited Papers