DEM内插方法与可视性分析结果的相似性研究

以实际采样的散点数据为原始数据,利用反距离权、样条函数、克里格、自然邻点内插、TIN内插5种内插方法生成规则格网DEM,并对其可视性分析结果进行对比分析和相关分析,揭示不同内插方法对可视性分析结果的影响规律和可视性分析对内插方法的敏感程度。结果表明,可视性分析对内插方法比较敏感,不同的内插方法会得到不同的可视性分析结果,其中相关程度最强的是样条函数内插和克里格内插、自然邻点内插和TIN内插。     

面向稀疏散布数据集的时空Kriging优化

时空Kriging法通过将变异函数向时空域进行扩展得到时空变异函数,有效地利用时空邻近的采样点综合进行插值,由于时空稀疏散布数据集具有单一时刻下样本点数量少以及时空分布不规律的特点,难以满足使用时空Kriging插值法的基本条件,导致插值精度不高,据此本文提出了优化方法：通过多时段叠置拟合空间变异函数的方法,综合利用时空邻域内的采样点以解决单一时刻下空间邻域内数量不足情况;控制时间变异对空间变异函数拟合的误差影响;采用积合式模型构建时空变异函数进行插值。最后使用Argo海温数据进行插值实验,在相同条件下与时空Kriging法以及时空权重法的交叉验证结果对比得出,该方法在保证拟合所需采样点数量要求的同时,有效削减了一般时空Kriging法中时间变异对空间变异函数拟合结果的干扰,插值结果的绝对误差均值从0.5降低至0.2以内,稳定性进一步增强,改善了时空Kriging法在稀疏散布数据条件下精度上的不足。     

基于平均分组和叠加相关的GPS信号捕获方法

针对目前GPS软件接收机C/A码捕获信噪比门限高、捕获速度慢的问题,提出一种基于平均分组和叠加相关的GPS弱信号捕获方法。首先,基于平均相关处理技术降低C/A码捕获过程中的自相关损耗,提高对微弱信号的捕获能力;然后,利用叠加相关提高相干运算的运算效率,并采用线性插值提高自相关函数性能;最后,利用频偏校正和内插进一步提高C/A信号的捕获精度。理论分析和仿真实验均验证,该方法能够在较低的信噪比下实现GPS信号捕获,且精度较高、运算量较低。     

Reconstruction of eddies by assimilating satellite altimeter data into Princeton Ocean Model

An optimal interpolation assimilation model for satellite altimetry data is developed based on Princeton Ocean Model (POM), which is applied in a quasi-global domain, by the method of isotropic correlation between sea level anomaly (SLA) and sea temperature anomaly. The perfor- mance of this assimilation model is validated by the modeled results of SLA and the current patterns. Comparisons between modeling and satellite data show that both the magnitudes and distribution patterns of the simulated SLA are improved by assimilation. The most signiˉcant improvement is that meso-scale systems, e.g., eddies, are well reconstructed. The evolution of an eddy located in the northwest Paciˉc Ocean is traced by using the assimilation model. Model results show that during three months the eddy migrated southwestward for about 6 degrees before merging into the Kuroshio. The three dimensional structure of this eddy on 12 August 2001 is further analyzed. The strength of this warm, cyclonic eddy decreases with the increase of depth. The eddy shows di?erent horizontal patterns at di?erent layers, and the SLA and temperature ˉelds agree with each other well. This study suggests that this kind of data assimilation is economic and reliable for eddy reconstruction, and can be used as a promising technique in further studies of ocean eddies as well as other ˉne circulation structures.     

梅江河流域年均降雨量空间插值方法研究

分析了降雨空间分布的影响要素及降雨空间插值的主要方法,并在此基础上,利用地理信息系统(GIS)的空间分析功能,综合考虑高程、坡度、坡向等影响降雨空间分布的多种要素,应用协克里金方法,探讨流域降雨量的空间插值问题及其应用,并与反距离权重法、克里金方法等单要素方法进行了降雨空间插值的效果比较.结果表明:应用协克里金方法,在综合考虑高程、坡度、坡向等影响要素的条件下,对降雨进行空间插值,其结果具有比较好的精度.     

矿体三维数据模型及品位插值方法研究

传统的储量计算方法采用几何平均法计算矿体的体积,用部分化验数据的平均品位代替矿块的整体品位,其计算精度很难满足需要.以三维矿体模型为基础计算矿体体积能够提高体积计算精度,以空间插值技术对矿体任意空间位置的品位进行估值,有助于提高品位估值的精度.提出了一种适于矿体储量计算的混合数据模型（线框块段模型）,详细论述了根据剖面数据生成矿体线框模型进而在线框模型基础上生成块段模型的方法.介绍了距离反比法和克立格法的原理,利用距离反比法结合某金矿体数据进行了储量估算,结果表明以线框块段模型为基础,采用空间插值技术计算矿体储量具有一定的实用价值.     

When do we need a trend model in kriging?

Under usual estimation practice with local search windows for data and for interpolation situations, universal kriging and ordinary kriging yield the same estimates, using a data set with apparent trend, for both the unknown attribute and its trend component. Modeling the trend matters only in extrapolation situations. Because conditions of the case study presented arise most frequently in practice, the simpler ordinary kriging is the preferred option.     

Fractal reconstruction of sea-floor topography

Sea-floor bathymetric profiles exhibit features at many different scales of length; this suggests that they could be described as fractals. An algorithm interpolating a fractal line between points has been used to reconstruct bathymetric profiles from a few data points. In general, this fractal line has the same Fourier amplitude spectrum as real bathymetry, and, if the parameters of the interpolation are suitably chosen, it has a very similar appearance. The success of this fractal reconstruction algorithm for the sea-floor raises the possibility that it could be used to extrapolate, from data collected at one scale, the properties of the sea-floor at finer scales, and that similar techniques could be used to interpolate a surface between bathymetric profiles. The fractal character is a sign that the processes that shape the sea-floor are scale invariant and suggests that the renormalization group technique could be used to model these processes.     

地质统计学变差函数人机对话拟合

变差函数的研究在地质统计学中具有十分重要作用，本文运用界面图形图像处理强的Ｃ￣（＋＋）语言实现了界面友好汉化人机对话变差函数的拟合，主要包括管理菜单的生成，实验变差值的求解，变差图的图形显示，标准函数模型的计算及变差函数人机对话求解等部分。最后对比一下回归分析与人机对话拟合结果。     

Variograms with zonal anisotropies and noninvertible kriging systems

Zonal anisotropies are usually simply defined as those that are not geometric (i.e., that cannot be removed by an affine transformation). Such anisotropies have often been associated with zonations and models have been proposed to reflect that association. It is shown by example that such models can lead to noninvertible coefficient matrices in kriging systems, because the models are only (conditionally) semidefinite instead of positive definite. The relationship to the construction used in turning bands algorithm and also to spatial-temporal models is discussed.