| 三次带多形状参数双曲均匀B样条曲线 |
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| 引用本文： | 韩敬利,董会,王兆丽. 三次带多形状参数双曲均匀B样条曲线[J]. 科学技术与工程, 2011, 0(26) |
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| 作者姓名： | 韩敬利 董会 王兆丽 |
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| 作者单位： | 中国人民解放军理工大学指挥自动化学院,南京,210007 |
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| 摘 要： | 提出一类带多形状参数的三次双曲均匀B样条曲线基函数，由这组基函数组成的三次双曲均匀B样条曲线具有很多与三次B样条曲线类似的性质和几何结构，并且可以精确表示双曲线。通过形状参数的不同取值，这类曲线的形状既能整体又能局部变化，作为一种新的几何造型方法,可应用于CAD/ CAM 领域。
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| 关 键 词： | 多形状参数；B样条曲线；基函数；双曲； 形状调控 |
| 收稿时间： | 2011-05-29 |
| 修稿时间： | 2011-05-31 |
Cubic Hyperbolic Uniform B-spline with Multiple Shape Parameters |
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| hanjingli,dong hui and wang zhao li. Cubic Hyperbolic Uniform B-spline with Multiple Shape Parameters[J]. Science Technology and Engineering, 2011, 0(26) |
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| Authors: | hanjingli dong hui wang zhao li |
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| Affiliation: | Institute of Command Automation , PLA University of Science And Technology,Institute of Command Automation , PLA University of Science And Technology |
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| Abstract: | A new class of basis functions was present to construct cubic Hyperbolic B-spline with multiple shape parameters, This kind of curve combines the main properties of the standard B-spline, and the hyperbolic can be explicitly expressed . The shape of such curves can be adjusted totally or locally by changing the values of the shape parameters. As a new geometric modeling method ,generating of such curves and surfaces can be applied in CAD/ CAM. |
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| Keywords: | multiple shape parameters B-spline basis functions hyperbolic shape adjusting |
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