| 一类带形状参数的三次均匀B样条曲线 |
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| 引用本文： | 张硕. 一类带形状参数的三次均匀B样条曲线[J]. 湖北民族学院学报(自然科学版), 2009, 27(3) |
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| 作者姓名： | 张硕 |
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| 作者单位： | 天津师范大学津沽学院理学系,天津,300387 |
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| 基金项目： | 天津师范大学津沽学院教育科研项目 |
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| 摘 要： | 利用三次多项式调配函数构造三次均匀B样条基,基于该基函数建立了一类带形状参数的三次均匀B样条曲线,形状参数的值用于调整曲线的形状,描述曲线接近其控制多边形的程度;选取的形状参数不同,得到的连续曲线不同.最后给出曲线设计的实例.
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| 关 键 词： | 形状参数 B样条曲线 B样条基 |
A Class of Cubic Uniform B-spline Curve with Shape Parameters |
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| ZHANG Shuo. A Class of Cubic Uniform B-spline Curve with Shape Parameters[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2009, 27(3) |
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| Authors: | ZHANG Shuo |
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| Affiliation: | Department of Science;Jingu College of Tianjin Normal University;Tianjin 300387;China |
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| Abstract: | The cubic uniform B-spline basis is constructed by using the cubic polynomial blending functions.On this basis,the B-spline curve with shape parameters is built,and the value of the shape parameters is used for adjusting the shape of cubic polynomial curves.Different shape parameters can receive different continuous curve.At last,the instance of curve design is given. |
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| Keywords: | shape parameter B-spline curve B-spline basis |
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