| 均匀B样条曲线曲面的扩展 |
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| 引用本文： | 郭清伟,熊建,朱功勤.均匀B样条曲线曲面的扩展[J].计算机应用与软件,2010,27(4):114-117. |
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| 作者姓名： | 郭清伟 熊建 朱功勤 |
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| 作者单位： | 合肥工业大学理学院,安徽,合肥,230009 |
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| 基金项目： | 安徽省自然科学资金(070416227) |
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| 摘 要： | 在多项式空间提出了一种带k个形状参数的k次均匀B样条,这类曲线与标准k次均匀B样条类似,每段曲线由k+1个控制顶点生成,它们不仅具有k次均匀B样条许多常见性质,而且利用形状参数的不同取值能够整体或局部调控曲线曲面形状。包含标准均匀B样条为其特例。
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| 关 键 词： | 多形状参数 均匀B样条曲线曲面 整体或局部调控 基函数 连续性 |
EXPANSION OF UNIFORM B-SPLINES CURVES AND SURFACES |
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| Guo Qingwei,Xiong Jian,Zhu Gongqin.EXPANSION OF UNIFORM B-SPLINES CURVES AND SURFACES[J].Computer Applications and Software,2010,27(4):114-117. |
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| Authors: | Guo Qingwei Xiong Jian Zhu Gongqin |
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| Affiliation: | School of Science/a>;Hefei University of Technology/a>;Hefei 230009/a>;Anhui/a>;China |
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| Abstract: | A kind of k degree uniform B-splines with k shape parameters is presented in polynomial space.Analogous to the standard k degree uniform B-splines,each curve segment of this kind of curves is generated by k + 1 consecutive control points.Apart from that they possess most of the common properties the k degree uniform B-splines have,by taking different values of shape parameters,the shape of their curves and surfaces can be adjusted entirely or locally.The one includes the standard uniform B-splines is a spec... |
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| Keywords: | Multiple shape parameters Uniform B-spline curves and surfaces Adjusting entirely or locally Basis function Continuous |
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