基于半参数回归的DDM内插方法  

A Method for Interpolating Moving Surface Based on Semiparametric Regression

作　　者：贾帅东[1] 张立华[1] 董晓光[2] 

机构地区：[1]海军大连舰艇学院海洋测绘科学与工程系,辽宁大连116018 [2]海军出版社,天津300450

出　　处：《海洋测绘》2011年第5期34-37,共4页Hydrographic Surveying and Charting

基　　金：国家863计划项目(2009AA12Z202);国家自然科学基金项目(40801189)

摘　　要：提出了一种基于半参数回归的数字水深模型(DDM)内插方法。将原始水深数据误差和内插函数的逼近误差分别视作数字水深模型的偶然误差和系统误差部分,构建DDM内插的半参数回归模型;基于距离法与L曲线法,分别确定正规化矩阵R与平滑因子α;采用按方位取点的加权平均法,估计内插函数在任意节点处的逼近误差。实验结果表明:所提方法提高了DDM的构建质量;海底地形复杂程度越大,所提方法对DDM构建质量的提高程度越大。This paper proposed a method for interpolating DDM based on semiparametric regression.Data error of raw depth and approximation error of interpolation function are respectively regarded as one part of random error and another part of systematic error in DDM,and a semiparametric regression model for interpolating DDM is constructed;regularizing matrix and smoothing parameter are respectively created by distance method and L-curve method;approximation error of interpolation function is estimated on any node using a method for weighted meaning with points selected by azimuth.Experimental results demonstrate that the proposed method has improved the quality of DDM;besides,the more complex the seabed terrain is,the higher the proposed method has improved the quality of DDM.

关 键 词：数字水深模型 半参数回归 逼近误差 移动曲面法 

分 类 号：P208[天文地球—地图制图学与地理信息工程]