{"title":"The Quartic Trigonometric Bézier Curve with Two Shape Parameters","authors":"U. Bashir, M. Abbas, J. Ali","doi":"10.1109/CGIV.2012.21","DOIUrl":null,"url":null,"abstract":"A quartic trigonometric Bézier curve with two shape parameters based on newly constructed trigonometric basis functions is presented in this paper. The curve is drawn by using end point curvature conditions and carries all the geometric features of the ordinary quartic Bézier curve. The presence of shape parameters provides an opportunity to adjust the shape of the curve by simply altering their values. The G2 and C2 continuity under appropriate conditions is achieved by joining two pieces of trigonometric curve.","PeriodicalId":365897,"journal":{"name":"2012 Ninth International Conference on Computer Graphics, Imaging and Visualization","volume":null,"pages":null},"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.2012.21","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
A quartic trigonometric Bézier curve with two shape parameters based on newly constructed trigonometric basis functions is presented in this paper. The curve is drawn by using end point curvature conditions and carries all the geometric features of the ordinary quartic Bézier curve. The presence of shape parameters provides an opportunity to adjust the shape of the curve by simply altering their values. The G2 and C2 continuity under appropriate conditions is achieved by joining two pieces of trigonometric curve.
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