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《Geography and Geo-Information Science》 2007-03
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Terrain Interpolation Based on Kriging Method

BAO Shi-tai,LIAO Yan-xuan,HU Yue-ming,ZHAO Han-bing(Information College of South China Agricultural University,Guangzhou 510640,China)  
Kriging arithmetic is an optimum,linear,unbiased method for estimative value interpolation,which is suitable for terrain interpolation.In order to get accurate digital elevation model by scattered sample points,this paper applies ordinary Kriging arithmetic to elevation interpolation,and designs complete procedure and special programs for terrain interpolating and analyzing based on Matlab software.The research originated from terrain 3D modeling in Nansha district of Guangzhou,and sample data are 200 altimetric points covering 10 km2.As local variable,the correlation of terrain elevation decreases with the increasing of distance,and sample points are divided into groups by difference distance.According to formula of experiment variation and elevation variations,each group can be calculated and approached theory semivariogram of the sphere model,index model and Gauss model.After contrasting deviations of three models,the index model was chosen to compute semivariogram matrix of all sample points.Kriging vector is made by distance between sample points with a grid to be evaluated.Then,lagrange modulus for the grid is calculated.So,the z value and deviation variance of the grid are computed.Perhaps most importantly,the error variances of Kriging estimates are the minimum possible of any linear estimation method,and they can be estimated at every location where a Kriging estimate is made.It is concluded that ordinary Kriging is right for terrain interpolation of the study area and the result by index model is the best.
【Fund】: 国家自然科学基金项目(40671145);; 广东省科技攻关项目(2005B30801005);; 华南农业大学校长基金项目(2005K139)
【CateGory Index】: P208
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