{"title":"Ellipse Fitting Using Orthogonal Hyperbolae and Stirling's Oval","authors":"Paul L. Rosin","doi":"10.1006/gmip.1998.0471","DOIUrl":null,"url":null,"abstract":"<div><p>Two methods for approximating the normal distance to an ellipse using (a) its orthogonal hyperbolae and (b) Stirling's oval are described. Analysis with a set of quantitative measures shows that the former provides an accurate approximation with few irregularities or biases. Its suitability is evaluated by comparing several approximations as error of fit functions and applying them to ellipse fitting.</p></div>","PeriodicalId":100591,"journal":{"name":"Graphical Models and Image Processing","volume":"60 3","pages":"Pages 209-213"},"PeriodicalIF":0.0000,"publicationDate":"1998-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/gmip.1998.0471","citationCount":"37","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Graphical Models and Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1077316998904713","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 37
Abstract
Two methods for approximating the normal distance to an ellipse using (a) its orthogonal hyperbolae and (b) Stirling's oval are described. Analysis with a set of quantitative measures shows that the former provides an accurate approximation with few irregularities or biases. Its suitability is evaluated by comparing several approximations as error of fit functions and applying them to ellipse fitting.