Planar and non-planar topologically consistent vector map simplification
Planar and non-planar topologically consistent vector map simplification
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DOI：
10.1080/13658816.2010.545062
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发表时间：
2011-01-01
影响因子：
5.7
通讯作者：
Winstanley, Adam
中科院分区：
文献类型：
--
作者：
Corcoran, Padraig;Mooney, Peter;Winstanley, Adam
本文对矢量地图简化的拓扑一致性判定策略进行了数学分析。这样的技术利用可以在连续简化中关于对应对象的相似性做出的假设。我们建议，所有的拓扑关系可以分为平面或非平面。一个形式化的分析技术，用于确定在这种关系的简化的拓扑一致性。对于每种技术，我们分析任何相应的约束条件。这提供了对单个技术的优点和局限性以及技术之间存在的关系的统一理解。随后，提出了一种新的策略来确定一个简化的拓扑一致性。该技术综合了所有研究方法的优点，提供了一个受约束较少的解决方案。这种方法的有效性证明了通过融合与现有的简化技术，简化具有相同的拓扑结构和形状相似的功能，以原始地图。
This article contains a mathematical analysis of strategies for determining topological consistency of vector map simplifications. Such techniques exploit assumptions that can be made regarding the similarity of corresponding objects in successive simplifications. We propose that all topological relationships may be classified as planar or non-planar. A formal analysis of techniques for determining topological consistency of a simplification in terms of such relationships is presented. For each technique we analyse any corresponding constraints that are imposed. This provides a unified understanding of the benefits and limitations of individual techniques and the relationships that exist between techniques. Subsequently, a new strategy for determining the topological consistency of a simplification is proposed. This technique integrates the benefits all methods studied to provide a solution which is subject to less constraints. The effectiveness of this approach is demonstrated through fusion with an existing simplification technique resulting in simplifications that have equal topology and similar shaped features to the original map.