Applying essentially non‐oscillatory interpolation to controlled‐source electromagnetic modelling*     

M. Wirianto  W.A. Mulder  E.C. Slob 《Geophysical Prospecting》2011,59(1):161-175

Modelling and inversion of controlled‐source electromagnetic (CSEM) fields requires accurate interpolation of modelled results near strong resistivity contrasts. There, simple linear interpolation may produce large errors, whereas higher‐order interpolation may lead to oscillatory behaviour in the interpolated result. We propose to use the essentially non‐oscillatory, piecewise polynomial interpolation scheme designed for piecewise smooth functions that contains discontinuities in the function itself or in its first or higher derivatives. The scheme uses a non‐linear adaptive algorithm to select a set of interpolation points that represent the smoothest part of the function among the sets of neighbouring points. We present numerical examples to demonstrate the usefulness of the scheme. The first example shows that the essentially non‐oscillatory interpolation (ENO) scheme better captures an isolated discontinuity. In the second example, we consider the case of sampling the electric field computed by a finite‐volume CSEM code at a receiver location. In this example, the ENO interpolation performs quite well. However, the overall error is dominated by the discretization error. The other examples consider the comparison between sampling with essentially non‐oscillatory interpolation and existing interpolation schemes. In these examples, essentially non‐oscillatory interpolation provides more accurate results than standard interpolation, especially near discontinuities.  相似文献   

核密度估计的道路匹配方法探讨     

邹丹  毛政元  李继红  刘小伶 《测绘科学》2015,40(7):104-108

针对目前地图合并技术的同名实体匹配中线实体(以道路为例)研究的不足,文章基于密度插值和DEM分析,提出一种针对线实体进行全局匹配的方法:采用积分的思想将核密度估计方法扩展应用于线实体密度计算,通过提取其密度谷脊线,将其应用于地图合并技术领域中的线实体匹配研究主题,指导相似度指标阈值的选取,并取得了较好的效果,为实现同一地区不同来源或不同比例尺(主要是相近比例尺)地图数据合并及数据库集成提供了参考。  相似文献   

空间插值算法在GIS中的应用   总被引：2，自引：0，他引：2  

张子昕  周强波 《测绘与空间地理信息》2015,(2):103-107

在GIS的研究中,通常需要具有一定规则的数据,而多数可获得的数据都是呈现离散状态并且是不规则分布的,这就需要应用空间插值的方法把离散的不规则数据转换成规则数据.本文介绍了几种常用的空间插值模型的原理与方法,并通过规则格网DEM的建立,说明空间插值算法在GIS中的应用.  相似文献   

主动源与被动源地震数据插值及联合数据成像   总被引：1，自引：1，他引：0       下载免费PDF全文

张盼  韩立国  刘强  张亚红  陈雪 《地球物理学报》2015,58(5):1754-1766

本文提出了两种情况下主动源数据和被动源数据的插值方法,并研究了两种数据在偏移成像中的互补效果.基于互相关法被动源数据重构原理,本文提出了结合多域迭代去噪技术的重构方法.提出了两种时间域主动源和被动源数据的插值方法,分别是共炮点域能量匹配插值和共检波点域最小平方匹配插值.然后对获得的主动源和被动源联合地震数据进行叠前深度偏移成像.在被动源活跃度不是很高的地区进行被动源地震勘探时,少量的主动源地震数据可以有效控制和补充被动源数据的成像效果.在稀疏炮点的主动源勘探中,有效利用被动源的信息能够在成像中增加更多的细节信息,提高成像质量.  相似文献   

古尔班通古特沙漠南缘主要土壤化学特征的空间异质性   总被引：4，自引：2，他引：2  

杨海峰  钱亦兵  蒋超  赵锐锋 《中国沙漠》2010,30(2):319-325

运用半方差分析和Kriging插值研究了古尔班通古特沙漠南缘典型沙垄至垄间地浅层土壤(0～30cm)pH值、电导率、有机质及全N含量的空间变异特征。结果表明,土壤pH值、有机质及全N含量服从正态分布,电导率符合对数正态分布。半方差分析结果显示,土壤pH值、电导率符合球状模型,而有机质、全N含量符合高斯模型。除全N具有中等空间相关性外,其余的都具有强空间相关性。用Kriging插值法对未测点的参数含量进行最优估计,绘制含量分布图,从而更直观地反映研究区土壤参数空间变异特征。  相似文献   

基于统一高度Cressman方法的地面2m气温客观分析          下载免费PDF全文

朱文刚  李昌义  车军辉 《山东气象》2021,41(2):138-148

针对离散站点资料格点化的业务需求及 Cressman 方法在地形复杂区域客观分析存在的问 题,利用山东及周边省自动气象站观测的 2 m气温和 ECMWF预报的海上 2 m气温,结合山东省中尺度数值预报位温递减率、90 m分辨率 SRTM高程数据,采用统一高度 Cressman 方法对山东省地面2 m气温进行客观分析,生成了逐 1 h、0.01°×0.01°高分辨率的地面 2 m气温格点产品。结果表明,统一高度 Cressman 方法的客观分析格点产品在地形复杂区域的分析更合理,月平均误差基本在±1 ℃以内,鲁中山区地形高度较高区域月平均误差略大于鲁西北、鲁西南、鲁东南和山东半岛等地的平原地区,气温偏低的10、11、12月温度准确率均略低于 5、6、7、8、9 月;2020 年 5—12 月平均误差为－0.0039 ℃,平均绝对误差为 0.1469 ℃,均方根误差为 0.3597 ℃,2 ℃以内准确率为 99.64%,1 ℃以内准确率为 98.24%,各项检验指标均较优。总体上统一高度 Cressman 客观分析格点产品质量接近中国气象局陆面数据同化系统（ HRCLDAS ）高分辨率格点实况产品。  相似文献   

GPS精密星历的轨道内插方法比较   总被引：3，自引：1，他引：2  

王磊  罗年学 《地理空间信息》2009,7(5):113-116

在高精度的GPS测量数据处理过程中，获取高精度卫星轨道是重要的环节，内插是获取任意历元的精密轨道信息的重要手段，对拉格朗日插值法、牛顿插值法、Neville逐次线性内插法和切比雪夫插值法的效果做了细致的比较，并在此基础上进一步探讨了短时间外推的效果。  相似文献   

Mapping radar-derived sea surface currents with a variational method   总被引：1，自引：0，他引：1  

Max Yaremchuk  Alexei Sentchev 《Continental Shelf Research》2009,29(14):1711-1722

High-frequency radars measure projections of surface velocity vectors on the directions of the radar beams. A variational method for reconstruction of the 2d velocity field from such observations is proposed. The interpolation problem is regularized by penalizing high-frequency variability of the surface vorticity and divergence fields. Twin-data experiments are used to assess the method's skill and compare it with two well-known approaches to HFR data processing: conventional local interpolation and more sophisticated non-local scheme known as open-boundary modal analysis (OMA). It is shown that the variational method and OMA have a significant advantage over local interpolation because of their ability to reconstruct the velocity field within the gaps in data coverage, near the coastlines and in the areas covered only by one radar. Compared to OMA, the proposed variational method appears to be more flexible in processing gappy observations and more accurate at noise levels below 30%.  相似文献   

Assessing reference evapotranspiration at regional scale based on remote sensing,weather forecast and GIS tools     

《International Journal of Applied Earth Observation and Geoinformation》2017

Reference evapotranspiration (ET_o) is a key component in efficient water management, especially in arid and semi-arid environments. However, accurate ET_o assessment at the regional scale is complicated by the limited number of weather stations and the strict requirements in terms of their location and surrounding physical conditions for the collection of valid weather data. In an attempt to overcome this limitation, new approaches based on the use of remote sensing techniques and weather forecast tools have been proposed.Use of the Land Surface Analysis Satellite Application Facility (LSA SAF) tool and Geographic Information Systems (GIS) have allowed the design and development of innovative approaches for ET_o assessment, which are especially useful for areas lacking available weather data from weather stations. Thus, by identifying the best-performing interpolation approaches (such as the Thin Plate Splines, TPS) and by developing new approaches (such as the use of data from the most similar weather station, TS, or spatially distributed correction factors, CITS), errors as low as 1.1% were achieved for ET_o assessment. Spatial and temporal analyses reveal that the generated errors were smaller during spring and summer as well as in homogenous topographic areas.The proposed approaches not only enabled accurate calculations of seasonal and daily ET_o values, but also contributed to the development of a useful methodology for evaluating the optimum number of weather stations to be integrated into a weather station network and the appropriateness of their locations. In addition to ET_o, other variables included in weather forecast datasets (such as temperature or rainfall) could be evaluated using the same innovative methodology proposed in this study.  相似文献   

拉格朗日插值法在渔业资源评估上的应用     

陈文河  邵青 《广东海洋大学学报》2003,23(6):35-38

应用拉格朗日插值法拟合鱼类体长与体重之间的函数关系 ,使用计算机VB语言进行编写程序 ,与常用的线性回归法、Ricker法进行比较 ,得出体长与体重的关系式为Pn(x) =∑nk=0yklk(x)=∑nk=0(∏nj=0j≠kx-xjxk-xj)yk 。  相似文献