Bayesian multi-exposure image fusion for robust high dynamic range ptychography

Fuente: arXiv
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Main Authors: Kodgirwar, Shantanu, Loetgering, Lars, Liu, Chang, Joseph, Aleena, Licht, Leona, Molina, Daniel S. Penagos, Eschen, Wilhelm, Rothhardt, Jan, Habeck, Michael
Format: Preprint
Published: 2024
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author Kodgirwar, Shantanu
Loetgering, Lars
Liu, Chang
Joseph, Aleena
Licht, Leona
Molina, Daniel S. Penagos
Eschen, Wilhelm
Rothhardt, Jan
Habeck, Michael
author_facet Kodgirwar, Shantanu
Loetgering, Lars
Liu, Chang
Joseph, Aleena
Licht, Leona
Molina, Daniel S. Penagos
Eschen, Wilhelm
Rothhardt, Jan
Habeck, Michael
contents The limited dynamic range of the detector can impede coherent diffractive imaging (CDI) schemes from achieving diffraction-limited resolution. To overcome this limitation, a straightforward approach is to utilize high dynamic range (HDR) imaging through multi-exposure image fusion (MEF). This method involves capturing measurements at different exposure times, spanning from under to overexposure and fusing them into a single HDR image. The conventional MEF technique in ptychography typically involves subtracting the background noise, ignoring the saturated pixels and then merging the acquisitions. However, this approach is inadequate under conditions of low signal-to-noise ratio (SNR). Additionally, variations in illumination intensity significantly affect the phase retrieval process. To address these issues, we propose a Bayesian MEF modeling approach based on a modified Poisson distribution that takes the background and saturation into account. To infer the model parameters, the expectation-maximization (EM) algorithm is employed. As demonstrated with synthetic and experimental data, our approach outperforms the conventional MEF method, offering superior phase retrieval under challenging experimental conditions. This work underscores the significance of robust multi-exposure image fusion for ptychography, particularly in imaging shot-noise-dominated weakly scattering specimens or in cases where access to HDR detectors with high SNR is limited. Furthermore, the applicability of the Bayesian MEF approach extends beyond CDI to any imaging scheme that requires HDR treatment. Given this versatility, we provide the implementation of our algorithm as a Python package.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11344
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bayesian multi-exposure image fusion for robust high dynamic range ptychography
Kodgirwar, Shantanu
Loetgering, Lars
Liu, Chang
Joseph, Aleena
Licht, Leona
Molina, Daniel S. Penagos
Eschen, Wilhelm
Rothhardt, Jan
Habeck, Michael
Image and Video Processing
Applications
The limited dynamic range of the detector can impede coherent diffractive imaging (CDI) schemes from achieving diffraction-limited resolution. To overcome this limitation, a straightforward approach is to utilize high dynamic range (HDR) imaging through multi-exposure image fusion (MEF). This method involves capturing measurements at different exposure times, spanning from under to overexposure and fusing them into a single HDR image. The conventional MEF technique in ptychography typically involves subtracting the background noise, ignoring the saturated pixels and then merging the acquisitions. However, this approach is inadequate under conditions of low signal-to-noise ratio (SNR). Additionally, variations in illumination intensity significantly affect the phase retrieval process. To address these issues, we propose a Bayesian MEF modeling approach based on a modified Poisson distribution that takes the background and saturation into account. To infer the model parameters, the expectation-maximization (EM) algorithm is employed. As demonstrated with synthetic and experimental data, our approach outperforms the conventional MEF method, offering superior phase retrieval under challenging experimental conditions. This work underscores the significance of robust multi-exposure image fusion for ptychography, particularly in imaging shot-noise-dominated weakly scattering specimens or in cases where access to HDR detectors with high SNR is limited. Furthermore, the applicability of the Bayesian MEF approach extends beyond CDI to any imaging scheme that requires HDR treatment. Given this versatility, we provide the implementation of our algorithm as a Python package.
title Bayesian multi-exposure image fusion for robust high dynamic range ptychography
topic Image and Video Processing
Applications
url https://arxiv.org/abs/2403.11344