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《Journal of Graphics》 2017-04
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Adjustable Tangent Points Trigonometric Bézier Curve of Two Order with Shape Parameters

PENG Xingxuan;PAN Jing;CHEN Xuejiao;JIANG Xinxin;School of Mathematics, Liaoning Normal University;  
A trigonometric Bézier basic functions of two order with shape parameters are constructed. By using of position parameters, the adjustable tangent points trigonometric Bézier curve of two order with shape parameters is defined. It retains the properties of Bézier curve. Its shape and tangent points are adjustable. And it can accurately represent ellipse and circle. The curves are G~1 continuous and the condition of curves blending is simple. Examples illustrate the method is effective for curve and surface design.
【Fund】: 国家自然科学基金项目(61502217)
【CateGory Index】: O182;TP391.72
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