任意结点组上的截断Hermite插值收敛(英文)

给出了任意结点组上截断Hermite插值的加权Lp范数收敛的充分条件.其中主要结论之一:给定一个整数r,0≤r≤m-1,函数f∈Cr[-1,1],记Hn,r(f;x)为任意结点组X上的Hermite插值多项式,设dμ为一个测度,0相似文献   

扩展的DDA圆弧插补方法的研究

介绍一种对DDA圆弧插补进行改进的方法,建立数学模型,推导出迭代算法,给出插补程序框图.     

新代数插值多项式

文中各例所用插值多项式的阶均在２０以上,推翻了逼近论中流传了近百年的错误结论：高阶代数插值高产生Ｒｕｎｇｅ现象。     

三次样条插值在工程拟合中的应用

介绍了工程实验、勘测、设计中常见的列表函数之数值插值方法、程序实现及工程应用,应用此法可方便地将任何列表函数计算到工程设计、施工所需要的精确程度,给出了各参数随主要参数变化而变化的光滑曲线,并将其应用推广到一般情况．     

Best linear unbiased disaggregation of annual GDP to quarterly figures: the case of Malaysia

Long series of quarterly GDP figures are still not available for many countries. This paper suggests an empirical procedure adapted from Chow and Lin (1971) to derive quarterly estimates from annual GDP figures and produces quarterly GDP by sectors for Malaysia from 1973Q1 onwards. A comparison of these estimates with some univariate interpolations using published quarterly figures for recent years show that the use of related series can produce substantially superior estimates of GDP compared to univariate methods. The data set is available from the authors. Copyright © 1998 John Wiley & Sons, Ltd.     

Forecasting with missing data: application to coastal wave heights

This paper presents a comparative analysis of linear and mixed models for short‐term forecasting of a real data series with a high percentage of missing data. Data are the series of significant wave heights registered at regular periods of three hours by a buoy placed in the Bay of Biscay. The series is interpolated with a linear predictor which minimizes the forecast mean square error. The linear models are seasonal ARIMA models and the mixed models have a linear component and a non‐linear seasonal component. The non‐linear component is estimated by a non‐parametric regression of data versus time. Short‐term forecasts, no more than two days ahead, are of interest because they can be used by the port authorities to notify the fleet. Several models are fitted and compared by their forecasting behaviour. Copyright © 1999 John Wiley & Sons, Ltd.     

不同插值的有损耗压缩法实现光学扫描全息重现的研究

采用3种不同的插值方法研究了有损耗全息压缩方法实现光学扫描全息的压缩重现过程,结果表明没有主要全息重现细节的丢失,有损耗全息压缩法可以实现压缩比达到100的全息压缩重现.     

插值在图像(图形)处理中的使用

从图像处理的细节入手,介绍了图像处理中可能使用到的插值,对将进行了讨论总结,部分还伴有实例。     

基于GIS的海洋观测数据三维可视化仿真研究

在分析海洋观测数据三维可视化必要性的基础上,提出在海洋GIS中集成海洋数据三维可视化功能是解决当前海洋观测数据信息深层次挖掘难题的关键。对海洋观测数据三维可视化关键技术,包括三维可视化开发技术、海洋要素场数据模型、海洋要素场三维可视化流程、离散观测数据内插方法等,进行了系统分析。此基础上,根据海洋观测数据的特点,选择OpenGL和IDL作为三维可视化开发技术,采用C＋＋和VC＋＋语言开发用于海洋观测数据处理、分析的三维可视化组件CMa3DView,并集成到自主研发的海洋GIS系统——MaXplorer中。实际应用表明,基于提出的海洋观测数据三维可视化方法能较直观的再现复杂的海洋环境,从而为海洋科研工作者揭示抽象数据变化规律以及理解、分析各种复杂海洋现象,提供强有力的辅助工具。     

ENO(Essentially Non-Oscillatory)形态小波及其在信号处理中的应用

提出了ENO形态小波算法,利用ENO插值基本无振荡的特性,改进了重构策略,即对原始信号进行形态小波算法分解,按ENO插值法进行重构.把该算法应用到信号处理中,实例分析结果表明,与形态小波相比,该算法取得的效果更好.