Signal Retrieval from Non-Sinusoidal Intensity Modulations in X-ray and Neutron Interferometry Using Piecewise-Defined Polynomial Function

Autor: Pinzek, Simon, Gustschin, Alex, Neuwirth, Tobias, Backs, Alexander, Schulz, Michael, Herzen, Julia, Pfeiffer, Franz
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Imaging, Vol 7, Iss 209, p 209 (2021)
Journal of imaging 7(10), 209 (2021). doi:10.3390/jimaging7100209
Journal of Imaging
Volume 7
Issue 10
DOI: 10.3390/jimaging7100209
Popis: Journal of imaging 7(10), 209 (2021). doi:10.3390/jimaging7100209
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 process, 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.
Published by MDPI, Basel
Databáze: OpenAIRE