Singular value decomposition: A useful technique for image denoising

Kejia Xing
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Abstract

A key function of image processing is picture denoising, which improves the quality of images by eliminating extraneous noise while keeping crucial information in tact. Singular Value Decomposition (SVD) is a linear algebraic technique that reduces the original datas complexity and scale by breaking down the matrices and extracting the important information. With the power of decomposition which utilizes the non-local self-similarity property of an image to achieve satisfactory denoising performance, SVD denoising has become a potent tool in image processing. In this paper, SVD is outlined and its working, applications, and challenges as a denoising technique in image denoising are discussed. The author discovered that Singular Value Decomposition can be a significant factor in image denoising by applying it to the image. As a result, Singular Value Decomposition could be thought as a helpful image denoising approach in the image processing sequence that will raise the images Peak Signal-to-Noise Ration (PSNR) and improve the quality of the image.
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奇异值分解:一种有用的图像去噪技术
图像处理的一个关键功能是图像去噪,它通过消除无关噪声来提高图像质量,同时保留关键信息。奇异值分解(SVD)是一种线性代数技术,它通过分解矩阵和提取重要信息来降低原始数据的复杂性和规模。SVD 利用图像的非局部自相似性特性进行分解,从而达到令人满意的去噪效果,因此 SVD 已成为图像处理领域的有力工具。本文概述了 SVD,并讨论了它作为去噪技术在图像去噪中的工作、应用和挑战。作者发现,将奇异值分解应用于图像,可以成为图像去噪的重要因素。因此,奇异值分解被认为是图像处理序列中一种有用的图像去噪方法,可以提高图像的峰值信噪比(PSNR),改善图像质量。
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