Signal retrieval from non-sinusoidal intensity modulations in x-ray and neutron interferometry using piecewise-defined polynomial function
Pinzek S, Gustschin A, Neuwirth T, Backs A, Schulz M, Herzen J, Pfeiffer F (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 7
Article Number: 209
Journal Issue: 10
Abstract
Grating-based phase-contrast and dark-field imaging systems create intensity modulations that are usually modeled with sinusoidal functions to extract transmission, differential-phase shift, and scatter information. Under certain system-related conditions, the modulations become non-sinusoidal and cause artifacts in conventional processing. To account for that, we introduce a piecewise-defined periodic polynomial function that resembles the physical signal formation pro-cess, modeling convolutions of binary periodic functions. Additionally, we extend the model with an iterative expectation-maximization algorithm that can account for imprecise grating positions during phase-stepping. We show that this approach can process a higher variety of simulated and experimentally acquired data, avoiding most artifacts.
Involved external institutions
Germany (DE)How to cite
APA:
Pinzek, S., Gustschin, A., Neuwirth, T., Backs, A., Schulz, M., Herzen, J., & Pfeiffer, F. (2021). Signal retrieval from non-sinusoidal intensity modulations in x-ray and neutron interferometry using piecewise-defined polynomial function. Journal of Imaging, 7(10). https://doi.org/10.3390/jimaging7100209
MLA:
Pinzek, Simon, et al. "Signal retrieval from non-sinusoidal intensity modulations in x-ray and neutron interferometry using piecewise-defined polynomial function." Journal of Imaging 7.10 (2021).
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