测量极值问题的经验解式--兼论绝对和极小问题

测量上有许多极值问题,如各种准则下的平差,权的最优分配,网的优化方案等,多可归于线性极值问题,且多不适用寻常数学解法。但同型问题往往已经作过多次解算。因此本文以单纯形法为主,强调利用已有经验,直接逼近优解,或经少数次迭进达到优解,然后极值条件加以验证。为此文中着重提出通用解式及优解条件,期能得出优解公式,有相当的适用范围。     

An enhanced approach for surface flow routing over drainage‐constrained triangulated irregular networks

The accuracy and efficiency of the simulations in distributed hydrological models must depend on the proper estimation of flow directions and paths. Numerous studies have been carried out to delineate the drainage patterns based on gridded digital elevation models (DEMs). The triangulated irregular network (TIN) has been increasingly applied in hydrological applications due to the advantages of high storage efficiency and multi‐scale adaptive performance. Much of the previous literature focuses mainly on filling the depressions on gridded DEMs rather than treating the special cases in TIN structures, which has hampered its applications to hydrological models. This study proposes a triangulation‐based solution for the removal of flat areas and pits to enhance the simulation of flow routing on triangulated facet networks. Based on the drainage‐constrained TIN generated from only a gridded DEM by the compound point extraction (CPE) method, the inconsistent situations including flat triangles, V‐shape flat edges and sink nodes are respectively identified and rectified. The optimization algorithm is an iterative process of TIN reconstruction, in which the flat areas are generalized into their center points and the pits are rectified by embedding break lines. To verify the proposed algorithm and investigate the potential for flow routing, flow paths of steepest descent are derived by the vector‐based tracking algorithm based on the optimized TIN. A case study of TIN optimization and flow path tracking was performed on a real‐world DEM. The outcomes indicate that the proposed approach can effectively solve the problem of inconsistencies without a significant loss in accuracy of the terrain model.     

改进GM(1,1)模型在建筑沉降变形观测中的应用

灰色预测模型GM（1,1）的建模思想是：原始序列（非负序列）经过一次累加生成后,形成一个单调递增数列,新序列中各数据点的连线可以用指数函数y=ae^bx进行拟合。根据这个指数函数可以推导出下一个累加值的预测值（即第一个预测期）,最后通过累减生成将累加序列预测值还原为原始序列预测值。本文通过对原始序列进行指数-幂函数变换,增加了原始序列的光滑度;并在灰参数求取过程中对原始序列赋以权重,利用迭代计算的方法推导出了模型精确背景值;最后通过使预测序列残差平方和最小的方法计算出最优初始条件,进而提出了一个改进后的GM（1,1）模型。利用改进后GM（1,1）模型对某大厦沉降监测数据进行模拟与分析,并对改进前后的模型进行对比与分析,结果表明,改进后模型的各项精度因子相比于传统模型均有所提高,且时间序列越往后的预测值,精度越高。     

建筑室内空间定位技术研究

为解决某市行政中心楼因建筑体量巨大、室内结构复杂而导致办事人员不易寻找目的地的问题,本文研究了室内空间定位搜寻方案,探讨了室内无卫星信号的定位方式。借助无线网络信号定位分析了无线网络信号传输中涉及的测距、信号滤波、空间定位等核心技术问题,并进行了试验验证,收到了良好的效果。     

用线特征摄影测量对目标体素进行量测和重建的可行性研究

本文利用线特征摄影测量方法对ＣＡＤ实体造型中体素进行自动量测与重建、借此建立ＣＡＤ与数字摄影测量的桥梁，文中提出了一种以描述体素几何元素为未知数，直接在像片线特征与物体表面之间进行匹配的线特征摄影测量模型和方法，并对其可行性进行了实验，实验结果表明：线特征摄影测量能达到立体摄影测量相同的，甚至更高的精度，从而可解决无明显目标点工点物体的自动量测。     

Tile‐based polygon overlay of vector data in a virtual globe

The demand for analysis of large‐scale data has increased with increased access to spatial vector data. Polygon overlay of vector data in a virtual globe requires proprietary data structures and proprietary analysis algorithms. A vector data structure is designed for rapid polygon overlay in a virtual globe by recording the metadata of the triangles (TriMeta) that constitute polygons. A polygon overlay algorithm is proposed based on this data structure. The overlay of two complex GIS polygons is transformed into the intersection computation of their 3D triangular presentations. The intersection computation of two sets of triangles is reduced considerably by utilizing TriMeta to filter out the disjoint triangle pairs and rapidly identify the contained triangle. The new method improves the overlay efficiency in a virtual globe because the amount of computation required to calculate the intersections of two large polygons and drape the intersections onto a terrain surface is reduced.     

Spatial optimization of rural settlement relocation by incorporating inter‐village social connections under future policy scenarios

Social connections between villages can represent farmers’ interests and thus benefit participatory rural relocation planning. With rural development, however, these connections will change and may weaken the adaptation of relocation plans to future rural systems. As yet, most studies still use empirical social connections to guide relocation planning, while a few have incorporated predicted connections in the context of rural development into relocation decisions. Meanwhile, spatial optimization approaches have seldom been adopted to solve this geographical decision issue. Accordingly, our study proposes a novel spatial relocation framework that incorporates changed inter‐village social connections under future rural development scenarios. Empirical inter‐village connections and their policy‐induced changes in central China were explored using social network analysis. An integration of particle swarm optimization and geographic information systems was adopted to identify the relocation solutions with maximum inter‐village connections and maximum spatial land use compactness, and to examine how connection changes under different policy scenarios influenced relocation outcomes. The results demonstrate the significance of incorporating policy‐induced social connections into relocation plans, and most importantly, show the negative relations between changed social connections and the migration distance/direction of relocated settlements. Our study is expected to improve the adaptation of relocation plans to future rural development.     

定位参数抗差估计的无偏性

根据抗差估计中误差的最基本假设—对称分布 ,考虑到ρ函数的条件及把反对称估计作为抗差估计计算迭代的初始值 ,验证了定位参数的抗差估计值也一定是反对称估计 ,满足无偏性条件 ,得到定位参数的抗差估计是无偏估计。