基于HASM,提出了一种由等高线建立DEM的新方法HASM-OC。HASM—OC方法保证地形曲面的整体光滑性,保证DEM最大程度上忠实于原始等高线数据。实际等高线案例结果表明,HASM—OC方法与基于薄板样条原理的Hutchinson方法的DEM模拟结果及其回放的等高线差相比,前者比后者保留更多的地形特征信息,前者的回放等高线比后者回放等高线更忠实于原始数据。
This paper proposed a new method (HASM-OC) to construct DEM from contour lines based on the optimal control. Presently, HASM (high accuracy surface modeling) which is used to handle discrete points only. Firstly a regular grid points~ are set up, on which each elevation will be predicted using the new method, each grid point represents the square grid area surrounding itself. Secondly, contour lines are used to construct contourtrees, which are then used to get the bound constraints for each grid points. Finally, in- tegrating the HASM equations, a numerical optimization problem is formed. By solving the optimization problem DEM can be secured, which is continuous and of high fidelity to origi- nal contours. A real contour lines example is given, and results from HASM-OC is compared with that from Hutchinson method based on TPS (thin plate spline), the former is superior to the latter in DEM construction from real contour lines.