{"title":"The Rational Quadratic Trigonometric Bézier Curve with Two Shape Parameters","authors":"U. Bashir, M. Abbas, A. A. Majid, J. Ali","doi":"10.1109/CGIV.2012.22","DOIUrl":null,"url":null,"abstract":"In this paper, a newly constructed rational quadratic trigonometric Bézier curve with two shape parameters is presented. The purposed curve enjoys all the geometric properties of the traditional rational quadratic Bézier curve. The local control on the shape of the curve can be attained by altering the values of the shape parameters as well as the weight. The curve exactly represents some quadratic trigonometric curves such as the arc of an ellipse and the arc of a circle and best approximates the ordinary rational quadratic Bézier curve.","PeriodicalId":365897,"journal":{"name":"2012 Ninth International Conference on Computer Graphics, Imaging and Visualization","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Ninth International Conference on Computer Graphics, Imaging and Visualization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CGIV.2012.22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, a newly constructed rational quadratic trigonometric Bézier curve with two shape parameters is presented. The purposed curve enjoys all the geometric properties of the traditional rational quadratic Bézier curve. The local control on the shape of the curve can be attained by altering the values of the shape parameters as well as the weight. The curve exactly represents some quadratic trigonometric curves such as the arc of an ellipse and the arc of a circle and best approximates the ordinary rational quadratic Bézier curve.
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