{"title":"An eigenvalue analysis based bandwidth selection method for curve reconstruction from noisy point clouds","authors":"Z. Hasirci, Mehmet Öztürk","doi":"10.1109/TSP.2011.6043685","DOIUrl":null,"url":null,"abstract":"In this paper, we propose an eigenvalue analysis based bandwidth selection method for fitting curves to noisy point clouds. Firstly the selection of a suitable local region radius (bandwidth) is carried out by using the normalized maximum eigenvalue. Then the regression line of the local region is used for ordering the data. Finally, a 3th order polynomial is fitted to the local data by using least squares method.","PeriodicalId":341695,"journal":{"name":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TSP.2011.6043685","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we propose an eigenvalue analysis based bandwidth selection method for fitting curves to noisy point clouds. Firstly the selection of a suitable local region radius (bandwidth) is carried out by using the normalized maximum eigenvalue. Then the regression line of the local region is used for ordering the data. Finally, a 3th order polynomial is fitted to the local data by using least squares method.
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