集成形态学重建和测地距离变换的DEM内插方法

An Interpolation Method for DEM Generation by Integration of Morphological Reconstruction and Distance Transformation with Obstacles

  • 摘要: 等高线是获取数字高程模型(DEM)常用的数据源之一,但内插方法对DEM生成精度有显著的影响。基于形态学重建和测地距离变换运算,提出一种等高线数据生成DEM的内插方法。形态学重建用于获取与空间一点对应的最邻近的上等高线和下等高线的高程值,测地距离变换用于获取该点到上下两条等高线的测地距离;使用沿流水线的线性内插获取该点的高程值。实验表明,在只使用等高线数据生成DEM的情况下,本文提出的内插方法获取的DEM精度更高。

     

    Abstract: Contour line is one of the commonly used data sources for DEM generation, and the interpolation method has a significant impact on the accuracy of the contours-derived DEM. However, most of the existing interpolation methods generate low-accuracy DEM due to unreasonable methodologies. In this paper, an interpolation method is presented to build DEM from contour lines by integration of morphological reconstruction and distance transformation with obstacles. Particularly, morphological reconstruction is used to get the elevation values of the higher contour lines and the lower contour lines of any a spatial point between two contour lines, and distance transformation with obstacles is used to get the geodesic distances of the spatial point to the higher contour lines and the lower contour lines respectively. At last, linear interpolation along steepest slope is used to get the elevation values of the pixels to be interpolated. The experiments demonstrate that the accuracy of the DEM generated by our method is higher than the one generated by Hu Peng's MADEM method if only contours are employed to interpolate a DEM.

     

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