2017
DOI: 10.1364/josaa.34.002251
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On the “unreasonable” effectiveness of transport of intensity imaging and optical deconvolution

Abstract: The effectiveness of reconstructive imaging using the Homogeneous Transport of Intensity equation may be regarded as "unreasonable", because it has been shown to significantly increase signal-to-noise ratio while preserving spatial resolution, compared to equivalent conventional absorption-based imaging techniques at the same photon fluence. We reconcile this surprising behaviour by analysing the propagation of noise in typical in-line holography experiments. This analysis indicates that novel imaging techniqu… Show more

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Cited by 79 publications
(84 citation statements)
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“…x ) −1/2 that never vanishes, never has division-by-zero instability, and never exceeds unity. This class of inverse-problem solution belongs to the category of SNR-boosting algorithms recently investigated by Gureyev et al [57]. A related member of this algorithm class [46] has been shown to boost SNR by factors F on the order of hundreds (or, equivalently, enable dose and data acquisition time to be reduced by factors F 2 on the order of tens of thousands) in the process of reconstruction [47,48,[58][59][60].…”
Section: X-ray Phase Contrast Computational Ghost Imaging: Theorymentioning
confidence: 99%
“…x ) −1/2 that never vanishes, never has division-by-zero instability, and never exceeds unity. This class of inverse-problem solution belongs to the category of SNR-boosting algorithms recently investigated by Gureyev et al [57]. A related member of this algorithm class [46] has been shown to boost SNR by factors F on the order of hundreds (or, equivalently, enable dose and data acquisition time to be reduced by factors F 2 on the order of tens of thousands) in the process of reconstruction [47,48,[58][59][60].…”
Section: X-ray Phase Contrast Computational Ghost Imaging: Theorymentioning
confidence: 99%
“…Understanding this point is very important in order to appreciate the difference between the PB‐CT method employed in the present study and any form of image processing that can be utilized in conjunction with conventional absorption‐based CT. While the latter cannot improve SNR in the reconstructed slices without sacrificing the spatial resolution or increasing the x‐ray dose, PB‐CT is capable of achieving this goal, as demonstrated earlier and discussed further below.…”
Section: Methodsmentioning
confidence: 93%
“…This increase in Q is only possible because the forward free‐space propagation improves spatial resolution (effectively decreasing h) without increasing image noise (see detailed explanation in Ref. [38]). Understanding this point is very important in order to appreciate the difference between the PB‐CT method employed in the present study and any form of image processing that can be utilized in conjunction with conventional absorption‐based CT.…”
Section: Methodsmentioning
confidence: 99%
“…Indeed, the standard X-ray GI setup is totally insensitive to any refractive effects (phase shifts) imparted by the sample since such effects have no influence on the total number of photons registered in each bucket measurement. A protocol has recently been proposed for X-ray phase contrast ghost imaging [31], which belongs to the class of SNR-boosting X-ray phase retrieval algorithms [50], [60] epitomised by the previouslymentioned PM. Such phase-contrast X-ray ghost imaging protocols, particularly in light of the SNR-boosting property, may form an interesting avenue for future developments of X-ray phase-contrast ghost tomography.…”
Section: Discussionmentioning
confidence: 99%