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arXiv · 2401.16099

A Ridgelet Approach to Poisson Denoising

Ali Dadras·Klara Leffler·Jun Yu
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Abstract

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.

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Ali Dadras, Klara Leffler, Jun Yu. 2024-01-29. A Ridgelet Approach to Poisson Denoising. https://arxiv.org/abs/2401.16099

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