Planar cubic Cardinal spline with tension parameter and boundary condition optimization(优化张力参数与边界条件的平面三次Cardinal 样条)
当数据点给定时,三次Cardinal 样条的张力参数和边界条件均为自由变量,因此可对这些自由变量进行优化,以得到满足某种特定要求的最佳三次Cardinal 样条。讨论了如何通过优化张力参数与边界条件使得构造的平面三次Cardinal 样条尽可能光顺。首先,分析了三次Cardinal 参数样条曲线形状的影响因素;然后,利用曲率变化能极小对三次Cardinal 参数样条曲线的张力参数与边界条件进行优化,获得张力参数与边界条件的唯一解; 最后,给出了对应三次Cardinal 样条函数的张力参数与边界条件的优化方法。实例表明,经曲率变化极小优化张力参数与边界条件后的三次Cardinal 样条比三次Ca...
Main Authors: | LIJuncheng(李军成), LIUChengzhi(刘成志), YIYeqing(易叶青) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2019-03-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2019.02.004 |
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