Integrating Generative and Physics-Based Models for Ptychographic Imaging with Uncertainty Quantification

Fuente: arXiv
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Autores principales: Ekmekci, Canberk, Bicer, Tekin, Di, Zichao Wendy, Deng, Junjing, Cetin, Mujdat
Formato: Preprint
Publicado: 2024
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author Ekmekci, Canberk
Bicer, Tekin
Di, Zichao Wendy
Deng, Junjing
Cetin, Mujdat
author_facet Ekmekci, Canberk
Bicer, Tekin
Di, Zichao Wendy
Deng, Junjing
Cetin, Mujdat
contents Ptychography is a scanning coherent diffractive imaging technique that enables imaging nanometer-scale features in extended samples. One main challenge is that widely used iterative image reconstruction methods often require significant amount of overlap between adjacent scan locations, leading to large data volumes and prolonged acquisition times. To address this key limitation, this paper proposes a Bayesian inversion method for ptychography that performs effectively even with less overlap between neighboring scan locations. Furthermore, the proposed method can quantify the inherent uncertainty on the ptychographic object, which is created by the ill-posed nature of the ptychographic inverse problem. At a high level, the proposed method first utilizes a deep generative model to learn the prior distribution of the object and then generates samples from the posterior distribution of the object by using a Markov Chain Monte Carlo algorithm. Our results from simulated ptychography experiments show that the proposed framework can consistently outperform a widely used iterative reconstruction algorithm in cases of reduced overlap. Moreover, the proposed framework can provide uncertainty estimates that closely correlate with the true error, which is not available in practice. The project website is available here.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10882
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Integrating Generative and Physics-Based Models for Ptychographic Imaging with Uncertainty Quantification
Ekmekci, Canberk
Bicer, Tekin
Di, Zichao Wendy
Deng, Junjing
Cetin, Mujdat
Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
Ptychography is a scanning coherent diffractive imaging technique that enables imaging nanometer-scale features in extended samples. One main challenge is that widely used iterative image reconstruction methods often require significant amount of overlap between adjacent scan locations, leading to large data volumes and prolonged acquisition times. To address this key limitation, this paper proposes a Bayesian inversion method for ptychography that performs effectively even with less overlap between neighboring scan locations. Furthermore, the proposed method can quantify the inherent uncertainty on the ptychographic object, which is created by the ill-posed nature of the ptychographic inverse problem. At a high level, the proposed method first utilizes a deep generative model to learn the prior distribution of the object and then generates samples from the posterior distribution of the object by using a Markov Chain Monte Carlo algorithm. Our results from simulated ptychography experiments show that the proposed framework can consistently outperform a widely used iterative reconstruction algorithm in cases of reduced overlap. Moreover, the proposed framework can provide uncertainty estimates that closely correlate with the true error, which is not available in practice. The project website is available here.
title Integrating Generative and Physics-Based Models for Ptychographic Imaging with Uncertainty Quantification
topic Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2412.10882