Purpose:
In grating-based x-ray multi-contrast imaging, signals of three
contrast mechanisms-absorption contrast, differential phase contrast (DPC),
and dark-field contrast-can be estimated from the same set of acquired data.
The estimated signals, N0 (related to
absorption), N1 (related to dark-field), and
φ (related to DPC) may be intrinsically biased.
However, it is yet unclear how large these biases are and how the data
acquisition parameters affect the biases in the extracted signals. The
purpose of this paper was to address these questions.
Methods:
The biases of the extracted signals (i.e.,
N0, N1 and
φ) were theoretically studied for a well-known
signal estimation method. Experimental data acquired from a grating-based
x-ray multi-contrast benchtop imaging system with a photon counting detector
were used to validate the theoretical results for the signal biases of the
three contrast mechanisms.
Results:
Both theoretical and experimental studies showed the following
results: (1) The bias of signal estimation for the absorption contrast
signal is zero; (2) The bias of signal estimation for
N1 is inversely proportional to the number
of phase steps and to the average fringe visibility of the grating
interferometer, but the ratio between the bias and the signal level (i.e.,
the relative bias) is independent of the number of phase steps; (3) The bias
of signal estimation for φ depends on the mean DPC
signal level, the total exposure level of the multi-contrast data
acquisition, and the mean fringe visibility of the interferometer.
Conclusions:
In grating-based x-ray multi-contrast imaging, the estimated
absorption contrast signal is unbiased; the estimated dark-field contrast
signal is biased, but the relative bias is only dependent on the mean fringe
visibility of the interferometer and the exposure level. The estimated DPC
signal may be biased, and the bias level depends on the mean signal level,
the exposure level, and the interferometer performance.