{"title":"Double stranded smoothing technique in energy minimization problems","authors":"A. Sahiner, Nurullah Yilmaz","doi":"10.3934/naco.2022022","DOIUrl":null,"url":null,"abstract":"In this study, we propose a new algorithm for image denoising by using double stranded Bezier curves based smoothing technique. The algorithm is developed to solve energy minimization problems with non-smooth total variation norm (TV). In order to demonstrate the efficiency of the algorithm we apply it to some numerical examples. The experimental results are reported and they are compared with the results obtained from TV algorithm with hyperbolic smoothing and standard TV algorithm.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/naco.2022022","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we propose a new algorithm for image denoising by using double stranded Bezier curves based smoothing technique. The algorithm is developed to solve energy minimization problems with non-smooth total variation norm (TV). In order to demonstrate the efficiency of the algorithm we apply it to some numerical examples. The experimental results are reported and they are compared with the results obtained from TV algorithm with hyperbolic smoothing and standard TV algorithm.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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