| B样条类曲线及其在曲线参数化中的应用 |
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| 引用本文： | 梁锡坤. B样条类曲线及其在曲线参数化中的应用[J]. 计算机应用与软件, 2009, 26(4) |
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| 作者姓名： | 梁锡坤 |
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| 作者单位： | 杭州师范大学信息科学与工程学院,浙江,杭州,310018 |
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| 基金项目： | 浙江省教育厅科学研究项目 |
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| 摘 要： | 从B样条基函数出发,通过参数变换,导出B样条函数类的概念,讨论了它们的性质.给出B样条类曲线和附加权因子的B样条类曲线的理论,研究了它们与B样条曲线的关系.提出B样条曲线重新参数化因子的概念,探讨通过基函数的重新参数化实现B样条曲线的重新参数化的方法.结果表明,该方法具有较好的通用性以及计算简单、便于操作等特点.
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| 关 键 词： | 参数变换 B样条函数类 BSC函数 曲线 重新参数化因子 |
BASIC SPLINE CLASS CURVES AND ITS APPLICATION IN PARAMETRIZATION OF CURVES |
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| Liang Xikun. BASIC SPLINE CLASS CURVES AND ITS APPLICATION IN PARAMETRIZATION OF CURVES[J]. Computer Applications and Software, 2009, 26(4) |
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| Authors: | Liang Xikun |
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| Affiliation: | College of Information Science and Engineering;Hangzhou Normal University;Hangzhou 310018;Zhejiang;China |
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| Abstract: | Proceeding from the expression of basic spline basis functions,the concept of basic spline function class is deduced from para-meter transformation,their properties are discussed in details.As a member of basic spline basis function class,BSC(Basic Spline Class) functions are defined and the theory of BSC curves and BSC curves with weighted factors are systematically founded.Then,the relation between BSC curves and basic spline curves is studied.Finally,the notion of reparametrization factor of B-spline cur... |
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| Keywords: | Parameter transformation B-spline function class BSC function Curves Reparametrization factor |
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