Weighted Anisotropic-Isotropic Total Variation for Poisson Denoising

• URL: http://arxiv.org/abs/2307.00439v1
• Date: Sat, 1 Jul 2023 23:25:54 GMT
• Title: Weighted Anisotropic-Isotropic Total Variation for Poisson Denoising
• Authors: Kevin Bui, Yifei Lou, Fredrick Park, Jack Xin
• Abstract summary: Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. We propose a Poisson denoising model by incorporating the weighted anisotropic-isotropic total variation (AITV) as a regularization. We then develop an alternating direction method of multipliers with a combination of a proximal operator for an efficient implementation.
• Score: 2.6381163133447836
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. As the distribution of Poisson noise depends on the pixel intensity value, noise levels vary from pixels to pixels. Hence, denoising a Poisson-corrupted image while preserving important details can be challenging. In this paper, we propose a Poisson denoising model by incorporating the weighted anisotropic-isotropic total variation (AITV) as a regularization. We then develop an alternating direction method of multipliers with a combination of a proximal operator for an efficient implementation. Lastly, numerical experiments demonstrate that our algorithm outperforms other Poisson denoising methods in terms of image quality and computational efficiency.

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