Abstract: The HASMOC（High Accuracy Surface Modeling-Optimal Control） method is based on HASM, on which more constraint equations are added. The latter is mainly used to reconstruct surface from discrete points, while the former can be also used to reconstruct terrain surface from contours. By minimizing the norm of the combining equation of the two basic equations of the HASM method, subject to the equality constraints from sample points and bound constraints for each grid points which are surrounded by contours, HASMOC method can preserve the smoothness of the terrain surface, and the high fidelity to the original contours. A real contour lines example is given, and results from HASMOC are compared with that from TIN（Triangulated Irregular Network） method, as for the respects of retrieved contour, details of surface and histogram of surface height distribution, the former is superior to the latter in terrain surface reconstruction from real contour lines.

Key words: High Accuracy Surface Modeling（HASM）, optimal control, Triangulated Irregular Network（TIN）, retrieved contours, histogram of height distribution

摘要： HASM优化控制方法（High Accuracy Surface Modeling-Optimal Control，HASMOC）是在高精度曲面建模（HASM）方法的基础上，增加更多约束条件方程后形成的一种方法。通过对等高线间格网点高程范围的约束优化控制，最小化HASM基本方程的模，HASMOC方法既能保证地形曲面的整体光滑性，又保证地形曲面对于原始等高线数据的忠实性。实际案例表明，HASMOC方法得到的地形曲面结果优于TIN方法的地形曲面模拟结果；比较分析地形曲面的回放等高线、地形光滑程度和地形曲面的高程分布频率等，可以看出，HASMOC方法能较好地克服TIN的缺点。

关键词: 高精度曲面建模（HASM）, 优化控制, 不规则三角网（TIN）, 回放等高线, 高程分布频率