Superior Formula for Gradient Impulse Noise Reduction from Images
In this work, we present a novel approach for effectively reducing impulse noise from images using Conjugate Gradient Method. Our Proposed method used the iterative property of the conjugate gradient method to accurately identify and restore corrupted pixel values while preserving the underlying ima...
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Veröffentlicht in: | International journal of applied and computational mathematics 2024-02, Vol.10 (1), Article 4 |
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creator | Khudhur, Hisham M. Hassan, Basim A. Aji, Sani |
description | In this work, we present a novel approach for effectively reducing impulse noise from images using Conjugate Gradient Method. Our Proposed method used the iterative property of the conjugate gradient method to accurately identify and restore corrupted pixel values while preserving the underlying image details. In the first part, we propose a new conjugate gradient parameter, and proved the global convergence using some assumptions. Then numerical experiment is conducted on some benchmark images contaminated with impulse noise to validate the efficacy of the method. The numerical results demonstrate a significant noise reduction in comparison with an existing method showing that our proposed method is more effective in denoising degraded images. |
doi_str_mv | 10.1007/s40819-023-01637-w |
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The numerical results demonstrate a significant noise reduction in comparison with an existing method showing that our proposed method is more effective in denoising degraded images.</description><subject>Applications of Mathematics</subject><subject>Applied mathematics</subject><subject>Computational mathematics</subject><subject>Computational Science and Engineering</subject><subject>Conjugate gradient method</subject><subject>Image restoration</subject><subject>Iterative methods</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Noise reduction</subject><subject>Nuclear Energy</subject><subject>Operations Research/Decision Theory</subject><subject>Original Paper</subject><subject>Theoretical</subject><issn>2349-5103</issn><issn>2199-5796</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWGq_gKcFz6szSTa7OZZia6Eo-Occ0mxStnQ3a9Kl-O2NXcGblzcP5r0Z-BFyi3CPAOVD5FChzIGyHFCwMj9dkAlFKfOilOIyecaTR2DXZBbjHgAo8hJoNSHzt6G3ofEhW_rQDgedueRXQdeN7Y7Zuu2HQ7TZs2-Svtp6MMfGd5kLvk1LvbPxhlw5nTKz3zklH8vH98VTvnlZrRfzTW6wKk55EseqQqOuuTOANeXSGbrlBXdIpdGVNSXfGkYdomYSpDAoBVhXOQrg2JTcjXf74D8HG49q74fQpZeKVlKKkgopUoqOKRN8jME61Yem1eFLIagfWmqkpRItdaalTqnExlJM4W5nw9_pf1rfek5snA</recordid><startdate>20240201</startdate><enddate>20240201</enddate><creator>Khudhur, Hisham M.</creator><creator>Hassan, Basim A.</creator><creator>Aji, Sani</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240201</creationdate><title>Superior Formula for Gradient Impulse Noise Reduction from Images</title><author>Khudhur, Hisham M. ; Hassan, Basim A. ; Aji, Sani</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c185w-185f385a1ad4fc01d249fc2b454f129ca8ec74bc32f11a39096c1960ef8f200f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Applications of Mathematics</topic><topic>Applied mathematics</topic><topic>Computational mathematics</topic><topic>Computational Science and Engineering</topic><topic>Conjugate gradient method</topic><topic>Image restoration</topic><topic>Iterative methods</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Noise reduction</topic><topic>Nuclear Energy</topic><topic>Operations Research/Decision Theory</topic><topic>Original Paper</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khudhur, Hisham M.</creatorcontrib><creatorcontrib>Hassan, Basim A.</creatorcontrib><creatorcontrib>Aji, Sani</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of applied and computational mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khudhur, Hisham M.</au><au>Hassan, Basim A.</au><au>Aji, Sani</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Superior Formula for Gradient Impulse Noise Reduction from Images</atitle><jtitle>International journal of applied and computational mathematics</jtitle><stitle>Int. 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subjects | Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Conjugate gradient method Image restoration Iterative methods Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Noise reduction Nuclear Energy Operations Research/Decision Theory Original Paper Theoretical |
title | Superior Formula for Gradient Impulse Noise Reduction from Images |
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