| 差商的性质及其应用探讨 |
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| 引用本文： | 王秀友,范建中,徐冬青,毕学慧.差商的性质及其应用探讨[J].阜阳师范学院学报(自然科学版),2013,30(3):15-18. |
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| 作者姓名： | 王秀友 范建中 徐冬青 毕学慧 |
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| 作者单位： | 阜阳师范学院计算机与信息学院,安徽阜阳,236037 |
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| 基金项目： | 安徽省教育厅自然科学研究项目 |
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| 摘 要： | 对差商和广义差商的性质进行了总结和部分推广。利用广义差商的概念和性质可以构造函数插值、简化B-样条基函数表示以及NURBS曲线曲面的显式矩阵表示,从而扩展了差商的使用范围。
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| 关 键 词： | 差商 广义差商 差商的性质 Hermite插值函数 NURBS |
Properties of divided difference and its application |
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| WANG Xiu-you
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FAN Jian-zhong
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XU Dong-qing
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BI Xue-hui.Properties of divided difference and its application[J].Journal of Fuyang Teachers College:Natural Science,2013,30(3):15-18. |
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| Authors: | WANG Xiu-you FAN Jian-zhong XU Dong-qing BI Xue-hui |
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| Institution: | (School of Computer and Information, Fuyang Teachers College, Fuyang Anhui 236037, China) |
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| Abstract: | Properties of divided difference and generalized difference quotient are summarized and generalized. Some exam- pies of the application of divided difference, such as interpolation function, representation of B-spline curve function , explicit matrix representation for NURBS curves and surface, are given. |
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| Keywords: | divided difference generalized difference quotient properties of divided difference Hermite interpolation func-tion NURBS |
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