| 对山地丘陵地形多点通视区域建模的数学方法 |
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| 引用本文： | 张新源,韩林,杨化斌.对山地丘陵地形多点通视区域建模的数学方法[J].测绘学院学报,2006(6). |
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| 作者姓名： | 张新源 韩林 杨化斌 |
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| 作者单位： | 空军工程大学电讯工程学院 陕西西安710077 |
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| 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。
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| 关 键 词： | 数学建模 通视范围 最大斜率 |
The Mathematic Method Related to Modeling Visible Range of Points in Mountainous Region |
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| ZHANG Xin-yuan,HAN Lin,YANG Hua-bin.The Mathematic Method Related to Modeling Visible Range of Points in Mountainous Region[J].Journal of Institute of Surveying and Mapping,2006(6). |
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| Authors: | ZHANG Xin-yuan HAN Lin YANG Hua-bin |
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| Abstract: | 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. |
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| Keywords: | mathematics model whole-visible area the biggest gradient |
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