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1.
高原  陈传法  杨帅 《北京测绘》2020,(5):585-588
针对现有插值方法对复杂地表模拟能力不足的问题,发展了一种基于非平稳(神经网络)核的高斯过程回归(GPR)方法,并将其应用于SRTM DEM空缺数据填补。以山区SRTM DEM的模拟数据空洞为研究对象,将GPR模拟结果与传统插值方法(TIN、SPLINE和IDW)比较表明:GPR填补精度高于传统插值方法,且空缺区域模拟曲面较好的保持了地形特征。  相似文献   

2.
空间连续的气象要素是区域环境、生态系统模拟的重要参数,空间插值是实现气象观测站点数据空间化的主要方法。由于不同区域气候要素时空分布的复杂性,研究适用于特定区域的空间化方法具有重要意义。本文以湖南省为研究区,分析长江中游亚热带丘陵区气象要素的空间化方法。基于湖南省及其毗邻地区的46个气象站点14年(2000—2013年)的气象观测数据(月降水量、月均温)和DEM数据,对普通克里金法(OK)、反距离加权法(IDW)、样条法(SPLINE)和基于DEM的多元线性回归插值法(MLR)进行比较分析研究。研究结果表明:1)月降水量和月均温的MRE和RMISE值排序分别为:SPLINEIDWMLROK和SPLINOKIDWMLR;年平均降水量和年均温插值的MRE和RMISE值排序分别为:SPLINEIDWOKMLR和SPLINOKIDWMLR;2)MLR法不仅插值误差小,而且能从细节上反映出气象变化的空间变异性;3)对多变量进行数据探索分析表明,MLR插值法中,经度、坡度与年降水量空间分布存在空间的一致性;纬度、高程和坡度对年均温的空间分布具有很强的解释力。  相似文献   

3.
基于ArcGIS两种空间插值方法的比较   总被引:8,自引:0,他引:8  
阐述了IDW和SPLINE两种空间插值方法的数学含义,并指出了各自的特点,然后以某地区的GDP数值为实验数据,ArcGIS为平台,对给定GDP原始数据进行这两种空间插值分析,最后得出了这两种插值方法的适用特点、影响因素及它们之间的差异,为使用这两种插值方法的用户提供了一定的指导意义。  相似文献   

4.
为了降低采样点水平和高程误差对数字高程模型(digital elevation model,DEM)建模精度的影响,受总体最小二乘算法启发,以较高精度的多面函数(multiquadric function,MQ)为基函数,发展了整体最小二乘MQ算法(MQ-T),并分别借助数值实验和实例分析验证模型计算精度。数值实验中,以高斯合成曲面为研究对象,设计了受不同误差分量影响的采样数据,借助MQ-T曲面建模,并将计算结果与传统MQ进行比较。结果表明,当采样点仅受高程误差分量影响时,MQ-T计算结果精度与MQ相当;当采样数据受水平误差分量影响时,MQ-T计算结果中误差小于MQ中误差。实例分析中,以全站仪获取的采样数据为研究对象,借助MQ-T构建测区DEM,并将计算结果与传统插值算法进行比较,如反距离加权(inverse distance weighted,IDW)法、克里金(Kriging)法和澳大利亚国立大学DEM专用插值软件((Australian National University DEM,ANUDEM)法。精度分析表明,随着采样点密度降低,各种插值算法精度逐步降低;不管采样密度多少,MQ-T计算精度始终高于传统插值算法;对山体阴影图分析表明,MQ-T相比Kriging法有一定峰值削平现象。  相似文献   

5.
通过地形建模,将6个地形隶属函数按照101×101,112×112,126×126,144×144,168×168,201×201,257×257 7种格网密度生成6种局部地形单元的规则格网DEM;使用反距离加权(IDW)等7种插值算法,将前6种格网密度下的DEM插值成257×257规格;从原始257×257DEM中随机抽取检查点计算残差,并对残差中误差进行分析。通过分组插值实验,运用控制变量法、方差分析等方法研究地貌类型、采样密度和插值算法对DEM插值精度的影响。  相似文献   

6.
High accuracy surface modeling (HASM) constructed based on the fundamental theorem of surface is more accurate than the classical methods. However, because of boundary error, location error, etc, HASM has a big accuracy loss in real-world examples. In former researches we solved the location error with Taylor expansion. In order to reduce the HASM boundary error and improve its accuracy further, this paper presents a new method of Laplace interpolation to compute the region boundary value. Gaussian synthetic surface and the real world test region are employed to validate the efficiency of this method. Results show that the boundary value computed with Laplace interpolation is more accurate than the classical methods, which can be regarded as an alternative for boundary value computation.  相似文献   

7.
Interpolation procedure is broadly used in sciences that are concerned with spatial data and continuous phenomena that can be depicted on a spatial surface. Interpolation makes use of sampling data, which is accurate and qualitative, in order to produce a continuous representation of the phenomenon in question. The data's accuracy is transferred by the procedure to its results and should be known. This paper examines error propagation by the interpolation procedure, using the Inverse Distance Weighted (IDW) method in the case of the Earth's relief.  相似文献   

8.
杨帆  王道顺  张磊  张子文 《测绘通报》2019,(2):54-57,85
针对InSAR沉降监测精度评定方法的单一性,综合考虑建筑物自身沉降和时空基准难以统一的问题,构建了改进的反距离权重插值模型。以宁波东部新城某沉降区域的PS-InSAR监测结果为试验数据,在统一时空基准的前提下,利用改进IDW插值模型对监测结果进行精度评定,并以交叉验证的方式验证了该插值方法的准确性。试验证明:通过对比两个实测水准点,使用改进的IDW插值获取的InSAR监测结果误差为0.3和0.8,相比于普通IDW和Kriging方法提高了大约1.1 mm。  相似文献   

9.
A high accuracy surface modeling method (HASM) has been developed to provide a solution to many surface modeling problems such as DEM construction, surface estimation and spatial prediction. Although HASM is able to model surfaces with a higher accuracy, its low computing speed limits its popularity in constructing large scale surfaces. Hence, the research described in this article aims to improve the computing efficiency of HASM with a graphic processor unit (GPU) accelerated multi‐grid method (HASM‐GMG). HASM‐GMG was tested with two types of surfaces: a Gauss synthetic surface and a real‐world example. Results indicate that HASM‐GMG can gain significant speedups compared with CPU‐based HASM without acceleration on GPU. Moreover, both the accuracy and speed of HASM‐GMG are superior to the classical interpolation methods including Kriging, Spline and IDW.  相似文献   

10.
基于Coons曲面的规则格网DEM表面模型   总被引:7,自引:0,他引:7  
内插是数字高程模型的核心问题。目前的内插模型主要是由离散的格网数据构建的连续曲面,直接以点推面,可能存在较大的地形误差。本文建立的Coons曲面DEM表面模型,首先利用离散的格网数据构造与格网边界相对应的地形剖面曲线的拟合曲线,再基于拟合曲线构建DEM表面模型。实验表明:Coons曲面DEM表面模型是一种高精度的DEM表面模型,其地形模拟误差比直接基于格网数据建立的双线性内插、样条函数内插和移动曲面拟合法的误差都小,实际地形模拟误差与双线性模型相比减少15%-28%,且精度随着构建边界拟合曲线所用格网点的增多而逐渐提高。  相似文献   

11.
Heavy metal pollution in soils has become increasingly challenging, especially in developing countries. Estimating the spatial distribution of heavy metals in soils is essential to preventing their build‐up. This article aims to identify the effects of spatial scales, spatial autocorrelation, sampling methods, and proportion on interpolation models in estimating the distribution of heavy metals in soils. Six interpolation models (area‐and‐point kriging, AAPK; inverse distance weighting, IDW; local polynomial interpolation, LP; ordinary kriging, OK; simple kriging, SK; and thin plate spline, TPS), three sampling methods (random, stratified, and systematic sampling), and five sampling proportions (1, 5, 10, 15, and 20%) are considered in this study using sets of simulated data, and the real situation was tested for verification. The results show that, in general, with the increase of spatial autocorrelation or the sampling percentage, the accuracy and stability of different interpolation models gradually increase; however, the various interpolation models have their own specific characteristics and application conditions. The best application conditions of the interpolation models compared with other models under the same situation are summarized and explained in theory. These conclusions have implications for future work.  相似文献   

12.
This study proposes network‐based spatial interpolation methods to help predict unknown spatial values along networks more accurately. It expands on two of the commonly used spatial interpolation methods, IDW (inverse distance weighting) and OK (ordinary kriging), and applies them to analyze spatial data observed on a network. The study first provides the methodological framework, and it then examines the validity of the proposed methods by cross‐validating elevations from two contrasting patterns of street network and comparing the MSEs (Mean Squared Errors) of the predicted values measured with the two proposed network‐based methods and their conventional counterparts. The study suggests that both network‐based IDW and network‐based OK are generally more accurate than their existing counterparts, with network‐based OK constantly outperforming the other methods. The network‐based methods also turn out to be more sensitive to the edge effect, and their performance improves after edge correction. Furthermore, the MSEs of standard OK and network‐based OK improve as more sample locations are used, whereas those of standard IDW and network‐based IDW remain stable regardless of the number of sample locations. The two network‐based methods use a similar set of sample locations, and their performance is inherently affected by the difference in their weight distribution among sample locations.  相似文献   

13.
反距离加权(inverse distance weighting,IDW)是一种简单实用的插值方法。以全球电离层格网(global ionospheric map,GIM)产品为样本,考虑电离层总电子含量(total electron content,TEC)经纬度方向异性,引入经纬度方向异性调节因子,设计了包含等权在内的6种电离层距离计算方案,分析表明,电离层TEC与经度方向相关性高于纬度方向,不同电离层距离计算方案均能有效提高IDW插值精度。采用最优方案IDW插值分析长期插值精度,结果表明,电离层活动剧烈区域(南北纬度20°)连续12 a“两分两至”日前后全球电离层格网(global ionospheric map,GIM)产品插值,最优方案比普通IDW插值精度提升约25%;2014年太阳活动高年“两分两至”日GIM产品插值,地方时14 h后3~5 h电离层活动剧烈时,最优方案插值精度提升明显,插值均方根误差(root mean square,RMS)最大不超过4.0 TECU。  相似文献   

14.
首先介绍了1980西安高斯平面坐标系向2000国家高斯平面坐标系转换的两种常用方法:改正量插值法、二维七参数法。其次,在广西测区内,以1∶10000比例尺图幅为单元,选取16个(2组,每组8个)图幅为试验区域,选取3×3块兴趣点数据,使用两种方法进行坐标转换,以从自然资源部获取的2000坐标为真值,分析两种转换成果。结果表明,两种成果均能满足1∶10000平面精度要求,改正量插值法较二维七参数法精度更高,且各图幅精度较均匀。改正量插值法最大点位误差为0.057 m,二维七参数法最大点位误差为0.679 m,出现在北海市。  相似文献   

15.
梅莹莹  张景雄 《测绘学报》2018,47(5):644-651
提出了一种面向土地覆盖变化信息局域精度评估的自适应型抽样策略。结合待研究地图的土地覆盖变化信息局部特征(如土地覆盖变化类别、斑块大小、异质性和优势度),探讨与土地覆盖变化信息精度显著相关的协变量,以预测精度的标准误差作为判断标准,识别需要提高精度预测结果可靠性的区域,以自适应地和逐步定位的方式进行样本采集。基于武汉地区的精度评价结果,自适应的抽取增加100个训练样本使得预测精度的确定系数提高了50.66%,而简单随机抽取的增加样本使得预测精度的确定系数提高了17.22%。试验表明,自适应型抽样策略能显著提高土地覆盖变化信息局域精度预测的抽样效益,减少预测精度的不确定性。模型选择的结果表明,土地覆盖变化类别和优势度指数是最优的协变量组合。  相似文献   

16.
为满足复杂地形景区对三维地图导览的需求,构建更为清晰的三维地图模型,提供良好的三维导览地图设计方案显得尤为重要。为了更好地与卫星影像进行贴合,DEM数据的采样密度要与卫星影像的分辨率一致。本文通过对比当下常用的四种空间插值方法的适用范围与运用特点,设置相关阈值及权重,直观比较了四种插值方法产生的插值结果,选择更适合复杂景区DEM插值的插值方法并对其进行精度提升,以此得到符合精度要求的DEM数据。最后利用相应地区的卫星影像进行地图投影及影像贴图,两种数据结合构建复杂景区的三维地图模型,给游客带来更为精确直观的定位信息和空间要素信息。  相似文献   

17.
为了分析云南元谋干热河谷典型冲沟插值误差的空间分布特征,采用反距离加权(inverse distance weighting,IDW)、局部多项式(local polynomial interpolation,LPI)、张力样条(spline with tension,ST)、析取克里格(disjunctive Kriging,DK)以及不规则三角网(triangulated irregular network,TIN)模型方法对高程采样点进行插值,用交叉验证法、相对差系数及沟谷线差异衡量其插值精度。遴选高程误差大于1 m的误差点,用变异系数(coefficient of variation,CV)、全局Moran指数和Getis-Ord Gi*指数分析其空间格局特征。结果表明:TIN和DK精度较高,IDW精度最低;高程误差均呈聚集分布,聚集程度TIN > LPI > DK > ST > IDW;高程误差均呈空间正自相关,TIN模型插值误差的自相关程度最高;误差热点位于坡度大的区域。  相似文献   

18.
传统的河道测量工作量大、效率低、采样密度有限,其数据获取方式和数据处理模式已经不能满足河道信息化的需要。三维激光扫描技术为空间三维信息的获取提供了全新的技术手段。本文以焦作市新河为试验区,采用Riegl VZ-1000三维激光扫描仪获取枯水期河道数据,首先对获取的河道激光点云数据进行预处理,包括数据拼接、坐标转换、点云数据滤波分类处理等,采用反距离加权插值(IDW)算法生成DEM和基于DEM自动获取断面的方法,实现了河道断面的提取,并对断面数据进行了精度分析,建立了基于三维激光扫描技术的河道水上地形信息提取技术流程。  相似文献   

19.
Due to the penetration ability of airborne light detection and ranging (lidar) into tree crowns, data pits commonly appear in lidar-derived canopy height models (CHMs). They have a seriously negative effect on the quality of tree detection and subsequent biophysical measurements. To construct a pit-free CHM, an algorithm based on robust locally weighted regression and robust z-score was presented to remove data pits. The significant advantage of the new algorithm is parameter-free, which makes it efficient and robust for practical applications. A numerical test and a real-world example were respectively employed to assess the performance of our method for CHM construction, and its results were compared with those of three classical methods including natural neighbor interpolation of the highest point method, mean and median filters. The numerical test demonstrates that our algorithm is more accurate than the other methods for generating pit-free CHMs under the presence of data pits. The real-world example shows that compared with the classical methods, our method has a better ability of data pit removal. Moreover, our method performs better than the other methods for deriving plot-level maximum tree height from CHMs. In a word, the new method shows high potential for pit-free CHM construction.  相似文献   

20.
以广州市番禺区为研究区,构建了相应的城市扩张CA模型,从采样、邻域结构和微观元胞尺度等方面研究了CA模型的敏感性。首先通过改变模型采样比例、样本各个类别的比例等研究样本对模型参数的影响。然后分析不同的邻域结构与模型模拟精度的关系,并从微观尺度分析邻域元胞对中心元胞的影响。最后从空间尺度上分析CA模型在各种不同分辨率下的模拟结果,用景观指数剖析模拟结果的形态,同时在元胞摩尔邻域内分析其3×3邻域的城市发展密度变化情况。实验表明:(1)适当提高采样比例,会得到精度较高的权重,但训练样本中城市用地的比例应该与城市用地的转变量在全区的占比相匹配。(2)不论是采用摩尔邻域还是冯诺依曼邻域,模拟精度均随着空间尺度的增加而降低。在同一空间尺度下,采用摩尔邻域的模拟结果略好。相比冯诺依曼4个邻域元胞,摩尔邻域中的角点对中心元胞具有更大的影响。(3)随着空间分辨的降低,模拟结果的斑块数、斑块密度、聚集度和分形维度值在减少,结构变得简单,而且在微观的摩尔邻域中城市发展密度正在减少,即由高密度向低密度转换。  相似文献   

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