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-  2016 

地图自动综合中Beams移位算法的实现与改进
Implementation and Improvement of Beams Displacement Algorithm in Automated Cartographic Generalization

DOI: 10.13203/j.whugis20140343

Keywords: 地图综合,移位,Beams,有限元,Delaunay三角网,邻近图,
cartographic generalization
,displacement,beams,finite element method,delaunay triangulation,proximity graph

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Abstract:

地图自动综合中,基于Beams模型的全局最优化移位算法通过借鉴材料力学中杆件结构的移位和变形,模拟地图上空间目标(群)在移位操作中的传递性和衰减性,从而较好地保持地图目标(群)的形状、空间关系和分布模式。然而,目前对该算法实现细节的介绍仍然较少,也没有可操作的参数(弹性模量、横截面积和惯性力矩)设置方法。针对此种情况,对算法进行了实现与改进。首先,介绍了算法的基本数学模型与有限元求解方法;然后,从算法实现的角度,详细研究了Beams模型刚度矩阵和外力向量的计算和聚合等关键问题;最后,在降低参数复杂性的前提下,提出了一种自适应参数设置方法来改进算法。为了验证算法的可行性和适用性,在Delaunay三角网的支持下,分别对道路网和建筑物群进行移位,结果表明改进后的算法可较好地应用于地图上线状目标(群)和离散面状目标群的移位

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