| 摘要: |
| 基于类Bcrnstein三角基函数和有理Berastcin基函数之间的关系，利用三角多项式空间规范B基的性质，得到将该空间基函数转换为有理Bernstein基函数的方法，给出了该空间中超越曲线有理表示的有效算法． |
| 关键词: 有理Bdzier曲线 三角曲线 规范B基 长(短)辐圆内(外)次摆线 n叶玫瑰线 |
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| 基金项目:Supported by the Foundation of Shanxi Education Committee of Chinaunder Grant No．00JK119(陕西省教育厅专项基金资助项目) |
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| Rational Representation of a Class of Transcendental Curves |
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FAN Min,WANG Dan,ZHANG Fan,KANG Bao-Sheng
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| Abstract: |
| Based on the relationship between rational Bemstein basis and Bemstein-like trigonometric basis，and the properties of normalized B-basis of the space of m-order trigonometric polynomial，a method is obtained by which the basis of the space can be transformed into rational Bernstein basis．An efficient algorithm is developed to obmin the rational representation for segment of a class of transcendental curves which are in the space． |
| Key words: rational Bezier curve trigonometric curve normalized B-basm hypotrochoids epitrochoids n-leaved rose |
