| UNIFYING REPRESENTATION OF BEZIERCURVE AND GENERALIZED BALL CURVES |
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| 作者姓名： | WuHongyi |
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| 作者单位： | Dept.ofMath.andMech.,HefeiUniv.ofTechnology,Hefei230009. |
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| 摘 要： | Abstract. This paper presents two new families of the generalized Ball curves which include theI~zier curve, the generalized Ball curves defined by Wang and Said independently and some in-termediate curves. The relative degree elevation and reduction schemes, recursive algorithmsand the Bernstein-Bezier representation are also given.
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| 关 键 词： | 贝塞尔曲线 BALL曲线 广义性 统一性 |
| 收稿时间： | 12 October 1998 |
Unifying representation of Bézier curve and generalized ball curves |
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| WuHongyi.UNIFYING REPRESENTATION OF BEZIERCURVE AND GENERALIZED BALL CURVES[J].Applied Mathematics A Journal of Chinese Universities,2000,15(1):109-121. |
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| Authors: | Wu Hongyi |
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| Institution: | (1) Dept. of Math. and Mech., Hefei Univ. of Technology, 230009 Hefei |
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| Abstract: | This paper presents two new families of the generalized Ball curves which include the Bézier curve, the generalized Ball curves
defined by Wang and Said independently and some intermediate curves. The relative degree elevation and reduction schemes,
recursive algorithms and the Bernstein-Bézier representation are also given.
Project supported by National Natural Science Foundation of China (19671002). |
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| Keywords: | 65D17 |
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