海底地形数据处理与DEM生成

分析了海底DEM生成经常会遇见的问题,介绍了坐标变换、接边处理、插值加密等数据预处理方法,最终生成海底规则格网DEM。     

双线性插值近似网格的栅格数据投影变换

在栅格数据投影变换常用算法的基础上,介绍一种新的基于双线性内插近似网格算法的栅格数据投影变换,并详细描述其算法过程,认真分析其特点,并证明该算法在大范围栅格数据投影变换中有显著优点。     

Triangulated spherical splines for geopotential reconstruction

We present an alternate mathematical technique than contemporary spherical harmonics to approximate the geopotential based on triangulated spherical spline functions, which are smooth piecewise spherical harmonic polynomials over spherical triangulations. The new method is capable of multi-spatial resolution modeling and could thus enhance spatial resolutions for regional gravity field inversion using data from space gravimetry missions such as CHAMP, GRACE or GOCE. First, we propose to use the minimal energy spherical spline interpolation to find a good approximation of the geopotential at the orbital altitude of the satellite. Then we explain how to solve Laplace’s equation on the Earth’s exterior to compute a spherical spline to approximate the geopotential at the Earth’s surface. We propose a domain decomposition technique, which can compute an approximation of the minimal energy spherical spline interpolation on the orbital altitude and a multiple star technique to compute the spherical spline approximation by the collocation method. We prove that the spherical spline constructed by means of the domain decomposition technique converges to the minimal energy spline interpolation. We also prove that the modeled spline geopotential is continuous from the satellite altitude down to the Earth’s surface. We have implemented the two computational algorithms and applied them in a numerical experiment using simulated CHAMP geopotential observations computed at satellite altitude (450 km) assuming EGM96 (n _max = 90) is the truth model. We then validate our approach by comparing the computed geopotential values using the resulting spherical spline model down to the Earth’s surface, with the truth EGM96 values over several study regions. Our numerical evidence demonstrates that the algorithms produce a viable alternative of regional gravity field solution potentially exploiting the full accuracy of data from space gravimetry missions. The major advantage of our method is that it allows us to compute the geopotential over the regions of interest as well as enhancing the spatial resolution commensurable with the characteristics of satellite coverage, which could not be done using a global spherical harmonic representation. The results in this paper are based on the research supported by the National Science Foundation under the grant no. 0327577.     

规则格网上双方向性插值DEM精度研究

简要介绍双方向性插值方法的原理,并以线性插值和三次插值过程中的误差传播为基础,利用误差传播定律,推导出双方向性插值方法生成的DEM曲面平均高程误差值,并对线性插值和三次插值公式本身的精度进行分析。     

基于人工神经网络面插值的方法研究

前人研究表明三层前向人工神经网络不仅能以任意精度逼近任意函数,还能以任何精度逼近其各阶导数。根据这一特性,本文将反向传播网络（Ｂａｃｋ－Ｐｒｏｐａｇａｔｉｏｎ,简称ＢＰ网络）应用于面插值。本文认定地理要素的空间分布可以用一复杂的非线性函数模拟,该函数是由多种因素综合作用的结果,即地理要素的值是这些因素的函数,如果以各因素的输入、对应地理要素值为期望输出,对网络进行训练可对地理要素的空间分布进行模拟     

B样条与磨光样条在基于矩形格网的DEM内插中的应用

本文研究了Ｂ样条和磨光样条应用在基于矩形格网的ＤＥＭ内插中的思想、方法及实现过程。并从逼真性,保凸性,光滑性,运算速度等方面对Ｂ样条、磨光样条与双线性内插算法做了实验比较。理论和实验表明,所述方法具有较好的效果。     

A comparison of three image-object methods for the multiscale analysis of landscape structure

Within the conceptual framework of Complex Systems, we discuss the importance and challenges in extracting and linking multiscale objects from high-resolution remote sensing imagery to improve the monitoring, modeling and management of complex landscapes. In particular, we emphasize that remote sensing data are a particular case of the modifiable areal unit problem (MAUP) and describe how image-objects provide a way to reduce this problem. We then hypothesize that multiscale analysis should be guided by the intrinsic scale of the dominant landscape objects composing a scene and describe three different multiscale image-processing techniques with the potential to achieve this. Each of these techniques, i.e., Fractal Net Evolution Approach (FNEA), Linear Scale-Space and Blob-Feature Detection (SS), and Multiscale Object-Specific Analysis (MOSA), facilitates the multiscale pattern analysis, exploration and hierarchical linking of image-objects based on methods that derive spatially explicit multiscale contextual information from a single resolution of remote sensing imagery. We then outline the weaknesses and strengths of each technique and provide strategies for their improvement.     

GPS精密钟差内插方法研究

GPS钟差的计算,可以通过精密星历内插所得。将IGS提供的15min精密星历内插到5min,其中分别用拉格朗日多项式、切比雪夫多项式法来进行内插,根据两种插值多项式分别比较分析在不同阶数情况下内插的精度。详细介绍了拉格朗日多项式、切比雪夫多项式插值法的基本原理,通过算例得出了拉格朗日与切比雪夫的拟合精度都可以满足精密定位需要,且切比雪夫插值的精度更高。     

TIN向规则格网DEM转换的新算法

由TIN生成规则格网DEM是基于TIN的离散点数据栅格化的重要一步,在基于一种数学原理的基础上运用逆向思维提出了TIN向规则格网DEM转换的新算法,不用传统的分块和建立索引,而是通过逐个遍历三角形来判断格网节点位于哪一个三角形中并实现格网节点的插值。通过编程实现、测试该算法,证明它具有非常高的插值效率。     

弹道扰动引力的有限元逼近算法

为了克服多项式逼近弹道扰动引力的缺点，根据有限元插值的原理，采用了对弹道周围空间区域进行有限元剖分的方法，利用剖分单元各顶点的扰动引力分量内插出弹道点对应的扰动引力分量值。结果表明，文中提出的逼近算法能够快速精确可靠地逼近弹道扰动引力，是一种具有应用价值的方法。