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Noise properties of grating-based x-ray phase contrast computed tomography
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41. We do not consider here the alternative grating-based setups proposed in Refs. 38 and 39.
42. Note that it is in the general case impossible to detect, whether phase wrapping occurred or not. Only if it is ensured that the phase gradient is sampled properly by the system, i.e., if the true phase ϕ does not vary by more than π between adjacent pixel in a row, then one-dimensional phase unwrapping by using Itoh’s method can be employed.
43. However, such a small object would appear in the dark field image since the variation of the phase gradient leads to a loss of the visibility, see Eq. (9) and (Ref. 18).
44. Due to the inhomogeneous sampling of the Radon space and thus also the Fourier space with a series of parallel projections, this equal treatment of all frequencies does not lead to a flat noise power spectrum.
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