{"title":"基于分形-分形积分的新型图像去噪分形掩膜","authors":"","doi":"10.1016/j.padiff.2024.100833","DOIUrl":null,"url":null,"abstract":"<div><p>The paper introduced an image-denoising algorithm based on the fractal–fractional integral operator for removing Gaussian noise in images. Using this algorithm fractional masks have been constructed. The capacity of the fractal–fractional integral mask to smooth the Gaussian noisy images for varied noise levels has been demonstrated through experiments. Peak signal-to-noise ratio (PSNR) is used for denoising images to analyse performance. The acquired experimental results demonstrate that fractal–fractional masks have comparable capabilities to some recently developed masks and are computationally efficient.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124002195/pdfft?md5=ad1e0c04a7839ad01c6647e8ee3b1919&pid=1-s2.0-S2666818124002195-main.pdf","citationCount":"0","resultStr":"{\"title\":\"A novel fractional mask for image denoising based on fractal–fractional integral\",\"authors\":\"\",\"doi\":\"10.1016/j.padiff.2024.100833\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The paper introduced an image-denoising algorithm based on the fractal–fractional integral operator for removing Gaussian noise in images. Using this algorithm fractional masks have been constructed. The capacity of the fractal–fractional integral mask to smooth the Gaussian noisy images for varied noise levels has been demonstrated through experiments. Peak signal-to-noise ratio (PSNR) is used for denoising images to analyse performance. The acquired experimental results demonstrate that fractal–fractional masks have comparable capabilities to some recently developed masks and are computationally efficient.</p></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2666818124002195/pdfft?md5=ad1e0c04a7839ad01c6647e8ee3b1919&pid=1-s2.0-S2666818124002195-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Partial Differential Equations in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666818124002195\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818124002195","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
A novel fractional mask for image denoising based on fractal–fractional integral
The paper introduced an image-denoising algorithm based on the fractal–fractional integral operator for removing Gaussian noise in images. Using this algorithm fractional masks have been constructed. The capacity of the fractal–fractional integral mask to smooth the Gaussian noisy images for varied noise levels has been demonstrated through experiments. Peak signal-to-noise ratio (PSNR) is used for denoising images to analyse performance. The acquired experimental results demonstrate that fractal–fractional masks have comparable capabilities to some recently developed masks and are computationally efficient.