A Ridgelet Approach to Poisson Denoising

Fuente: arXiv
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Autori principali: Dadras, Ali, Leffler, Klara, Yu, Jun
Natura: Preprint
Pubblicazione: 2024
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author Dadras, Ali
Leffler, Klara
Yu, Jun
author_facet Dadras, Ali
Leffler, Klara
Yu, Jun
contents This paper introduces a novel ridgelet transform-based method for Poisson image denoising. Our work focuses on harnessing the Poisson noise's unique non-additive and signal-dependent properties, distinguishing it from Gaussian noise. The core of our approach is a new thresholding scheme informed by theoretical insights into the ridgelet coefficients of Poisson-distributed images and adaptive thresholding guided by Stein's method. We verify our theoretical model through numerical experiments and demonstrate the potential of ridgelet thresholding across assorted scenarios. Our findings represent a significant step in enhancing the understanding of Poisson noise and offer an effective denoising method for images corrupted with it.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16099
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Ridgelet Approach to Poisson Denoising
Dadras, Ali
Leffler, Klara
Yu, Jun
Methodology
Image and Video Processing
This paper introduces a novel ridgelet transform-based method for Poisson image denoising. Our work focuses on harnessing the Poisson noise's unique non-additive and signal-dependent properties, distinguishing it from Gaussian noise. The core of our approach is a new thresholding scheme informed by theoretical insights into the ridgelet coefficients of Poisson-distributed images and adaptive thresholding guided by Stein's method. We verify our theoretical model through numerical experiments and demonstrate the potential of ridgelet thresholding across assorted scenarios. Our findings represent a significant step in enhancing the understanding of Poisson noise and offer an effective denoising method for images corrupted with it.
title A Ridgelet Approach to Poisson Denoising
topic Methodology
Image and Video Processing
url https://arxiv.org/abs/2401.16099