A topological algorithm for determining how road networks evolve over time

M. Goodrich, Siddharth Gupta, Manuel R. Torres
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引用次数: 1

Abstract

We provide an efficient algorithm for determining how a road network has evolved over time, given two snapshot instances from different dates. To allow for such determinations across different databases and even against hand-drawn maps, we take a strictly topological approach in this paper, so that we compare road networks based strictly on graph-theoretic properties. Given two road networks of same region from two different dates, our approach allows one to match road network portions that remain intact and also point out added or removed portions. We analyze our algorithm both theoretically, showing that it runs in polynomial time for non-degenerate road networks even though a related problem is NP-complete, and experimentally, using dated road networks from the TIGER/Line archive of the U.S. Census Bureau.
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一种用于确定道路网络如何随时间演变的拓扑算法
我们提供了一种有效的算法来确定道路网络如何随着时间的推移而演变,给出了来自不同日期的两个快照实例。为了允许跨不同数据库甚至针对手绘地图进行此类确定,我们在本文中采用了严格的拓扑方法,以便我们严格基于图论属性来比较道路网络。给定来自两个不同日期的同一地区的两个道路网络,我们的方法允许人们匹配保持完整的道路网络部分,并指出添加或删除的部分。我们从理论上分析了我们的算法,表明它在多项式时间内运行于非退化的道路网络,即使相关问题是np完全的,实验上,使用来自美国人口普查局的TIGER/Line档案的过时的道路网络。
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