{"title":"一种锐利特征保存的曲线拟合方法","authors":"Feng Jin, Shuyu Zhang, Wei Chen","doi":"10.1117/12.2653867","DOIUrl":null,"url":null,"abstract":"To address the fact that the traditional curve fitting method based on B-spline basis functions cannot preserve the sharp features in the original data well, a curve fitting method based on a class of orthogonal piecewise polynomial function Vsystem is proposed in this research. Firstly, different types of feature points from the original data are extracted by using the feature extraction algorithm; secondly, the feature points are reparametrized to the locations of different knots in the V-system; finally, the fitting curve is obtained by solving least-squares linear equations with constraints. Different features in the original data can be captured since the V-system contains basis functions with different smoothness. Numerical experimental results show that the proposed method in this research creates a fitted curve reflecting the global shape of the original data and can accurately represent sharp features.","PeriodicalId":32903,"journal":{"name":"JITeCS Journal of Information Technology and Computer Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A curve fitting method for sharp feature preservation\",\"authors\":\"Feng Jin, Shuyu Zhang, Wei Chen\",\"doi\":\"10.1117/12.2653867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"To address the fact that the traditional curve fitting method based on B-spline basis functions cannot preserve the sharp features in the original data well, a curve fitting method based on a class of orthogonal piecewise polynomial function Vsystem is proposed in this research. Firstly, different types of feature points from the original data are extracted by using the feature extraction algorithm; secondly, the feature points are reparametrized to the locations of different knots in the V-system; finally, the fitting curve is obtained by solving least-squares linear equations with constraints. Different features in the original data can be captured since the V-system contains basis functions with different smoothness. Numerical experimental results show that the proposed method in this research creates a fitted curve reflecting the global shape of the original data and can accurately represent sharp features.\",\"PeriodicalId\":32903,\"journal\":{\"name\":\"JITeCS Journal of Information Technology and Computer Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JITeCS Journal of Information Technology and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2653867\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JITeCS Journal of Information Technology and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2653867","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A curve fitting method for sharp feature preservation
To address the fact that the traditional curve fitting method based on B-spline basis functions cannot preserve the sharp features in the original data well, a curve fitting method based on a class of orthogonal piecewise polynomial function Vsystem is proposed in this research. Firstly, different types of feature points from the original data are extracted by using the feature extraction algorithm; secondly, the feature points are reparametrized to the locations of different knots in the V-system; finally, the fitting curve is obtained by solving least-squares linear equations with constraints. Different features in the original data can be captured since the V-system contains basis functions with different smoothness. Numerical experimental results show that the proposed method in this research creates a fitted curve reflecting the global shape of the original data and can accurately represent sharp features.