| 摘要: |
| 给出了带局部形状参数的三次样条曲线生成方法．所给方法以Hermite型插值曲线和非均匀三次B样条曲线为特殊情形，将插值于控制点的曲线和逼近于控制多边形的非均匀B样条曲线统一起来．一个形状参数只影响两条曲线段，曲线表达式保持了三次Bezier曲线表达式的简单结构．改变形状参数的值或调整Bezier控制点，可以局部调整曲线的形状．基于所给样条曲线，给出了带局部形状参数的双三次样条曲面． |
| 关键词: B样条曲线 Bezicr曲线 插值 形状调整 |
| DOI： |
| 分类号: |
| 基金项目:Supported by the Natural Science Foundation of Hunan Province of China under Grant No．01JJY2095(湖南省自然科学基金) |
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| Cubic Spline Curve Representation Based on Local Adjusting Interpolation Points |
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HAN Xu-Li,ZHU Cheng-Xue
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| Abstract: |
| A method of generating cubic spline curves with local shape parameters is presented in this paper．The given method takes the Hermite interpolation curvcs and the cubic non-uniform B-spline curves as the special cases and unifies the representation of the curves interpolating the control polygon and the cubic non-uniform B-spline curves approximating the control polygon．A shape parameter only influences two curve segments，and the expression of the curves retains the simple construction of the expression of the cubic Bezier curves．We can adjust the shape of the curves locally by changing the values of the shape parameters or adjusting the Bezier control points．Based on the given spline curves，the bicubic spline surfaces with local shape parameters are given． |
| Key words: B-spline curve B6ziercurve interpolation shapeadjusting |
