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带形状参数的插值曲线 被引量：5

Interpolation Curves with Shape Parameters
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摘要 针对αB样条插值曲线仅能整体调控其形状的局限性,通过适当地提高曲线次数并引入若干新的形状参数,构造出2种C2连续的插值曲线,这些曲线的形状既能整体又可局部调控;还给出一种能作整体调控的C3连续的插值曲线. Compared with α-B spline interpolation curve, two families of C^2 continuous interpolation curves are constructed by elevating appropriately and introducing some new shape parameters. Their shape can be controlled totally as well locally. Besides, C^3 continuous interpolation curve that can be controlled totally is also discussed.
作者 邬弘毅 杜炜
机构地区 合肥工业大学理学院
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2006年第3期352-357,共6页 Journal of Computer-Aided Design & Computer Graphics
关键词 α-B样条 形状参数 整体或局部调控 C^2连续 C^3连续 α-B spline shape parameters totally or locally control C^2 continuity C^3 continuity
分类号 TP391.72 [自动化与计算机技术—计算机应用技术] TP391.41 [自动化与计算机技术—计算机应用技术]
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参考文献8

二级参考文献27

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共引文献136

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引证文献5

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计算机辅助设计与图形学学报
2006年 第3期

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