对山地丘陵地形多点通视区域建模的数学方法  

The Mathematic Method Related to Modeling Visible Range of Points in Mountainous Region

作　　者：张新源[1] 韩林[1] 杨化斌[1] 

机构地区：[1]空军工程大学电讯工程学院,陕西西安710077

出　　处：《测绘科学技术学报》2006年第6期464-466,共3页Journal of Geomatics Science and Technology

摘　　要：运用数学建模的方式,对山地丘陵地理环境中任意多点在特定高度的可视范围进行了研究。通过计算单一观察点与周围地形的切点集合,构成单点通视锥面,求出该观察点在特定高度的通视范围轮廓,再对多点的通视范围轮廓进行合并,并对整个通视轮廓取样进行光滑;最后形成山地丘陵环境中多点在特定高度的通视范围。Using mathematics method, the visible range of points at a certain height in mountainous region was researched in this article. By calculating the tangent points between the visible cone of an observed point and the mountains＇ surface, the whole-visible cone-shaped surface of the point was constructed, then the contour of surface was computed at a given height. Afterward, contours of the whole-visible cone-shaped surfaces of many observed points were united. Finally, the whole contour of the points was smoothed, and the whole-visible area of the observed points was got.

关 键 词：数学建模 通视范围 最大斜率 

分 类 号：P232[天文地球—摄影测量与遥感]