| 具有切向控制的局部四点插值曲线设计方法 |
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| 引用本文： | 赵乃良. 具有切向控制的局部四点插值曲线设计方法[J]. 高校应用数学学报(A辑), 1996, 0(1): 91-96 |
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| 作者姓名： | 赵乃良 |
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| 作者单位： | 浙江大学CAD&CG国家重点实验室 |
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| 基金项目： | 国家自然科学基金(No.69503010) |
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| 摘 要： | Ｎｉｒａ Ｄｙｎ等提出的四点插值法是一种典型的自由曲线离散造型方法，但该方法不能控制插值点的切向。本文利用薄板样很可能 量的极小化原理给出了具有切向控制的四点分插值条件。用户可以方便地交互控制任一插值点的切向，使得四点插值法更为有效和实用。
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| 关 键 词： | 切向控制 四点插值法 曲线设计 CAD 离散造型法 |
A LOCAL 4-POINT INTERPOLATORY CURVE DESIGN SCHEME WITH TANGENTS CONTROL |
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| Zhao Nailiang CAD , CC State Key Lab.,Zhejiang University,Hangzhou. A LOCAL 4-POINT INTERPOLATORY CURVE DESIGN SCHEME WITH TANGENTS CONTROL[J]. Applied Mathematics A Journal of Chinese Universities, 1996, 0(1): 91-96 |
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| Authors: | Zhao Nailiang CAD & CC State Key Lab. Zhejiang University Hangzhou |
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| Affiliation: | Zhao Nailiang CAD & CC State Key Lab.,Zhejiang University,Hangzhou 310027 |
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| Abstract: | In this paper, an improvement of Nira Dyn's 4-point interpolatory subdivision schemeis proposed, which offers the ability to control the tangents at interpolating points. Byminimization of the fairness norm based on the plate energy, author presents the boundaryconditions of the 4-point local subdivision scheme with tangent control flexibility. Severaladvantages of the new method, e. g. convenience and efficiency for interactive application,have been explored. |
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| Keywords: | Subdivision Interpolation Tangents Control Curve and Surface Design |
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