Bayesian Despeckling of Structured Sources

Fuente: arXiv
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Auteurs principaux: Zafari, Ali, Jalali, Shirin
Format: Preprint
Publié: 2025
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author Zafari, Ali
Jalali, Shirin
author_facet Zafari, Ali
Jalali, Shirin
contents Speckle noise is a fundamental challenge in coherent imaging systems, significantly degrading image quality. Over the past decades, numerous despeckling algorithms have been developed for applications such as Synthetic Aperture Radar (SAR) and digital holography. In this paper, we aim to establish a theoretically grounded approach to despeckling. We propose a method applicable to general structured stationary stochastic sources. We demonstrate the effectiveness of the proposed method on piecewise constant sources. Additionally, we theoretically derive a lower bound on the despeckling performance for such sources. The proposed depseckler applied to the 1-Markov structured sources achieves better reconstruction performance with no strong simplification of the ground truth signal model or speckle noise.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11860
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian Despeckling of Structured Sources
Zafari, Ali
Jalali, Shirin
Information Theory
Machine Learning
Applications
Speckle noise is a fundamental challenge in coherent imaging systems, significantly degrading image quality. Over the past decades, numerous despeckling algorithms have been developed for applications such as Synthetic Aperture Radar (SAR) and digital holography. In this paper, we aim to establish a theoretically grounded approach to despeckling. We propose a method applicable to general structured stationary stochastic sources. We demonstrate the effectiveness of the proposed method on piecewise constant sources. Additionally, we theoretically derive a lower bound on the despeckling performance for such sources. The proposed depseckler applied to the 1-Markov structured sources achieves better reconstruction performance with no strong simplification of the ground truth signal model or speckle noise.
title Bayesian Despeckling of Structured Sources
topic Information Theory
Machine Learning
Applications
url https://arxiv.org/abs/2501.11860