How Generalization Interacts with the Topological and Metric Structure of Maps
How Generalization Interacts with the Topological and Metric Structure of Maps
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发表时间：
1996
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通讯作者：
G. Puppo
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作者：
G. Puppo
在本文中，我们讨论了如何在数学框架中定义制图师称之为泛化的一组操作。首先，我们明确区分了映射的拓扑和度量方面，并描述了处理这两个类别的合适数学工具。然后，我们分析了概化的基本操作，指出每一个操作是否会影响映射的度量结构或拓扑结构。最后，我们讨论了泛化操作如何适应所描述的数学框架。这是朝着自动泛化的全局方法迈出的一步。
In this paper we discuss how to define in a mathematical framework the set of operations that cartographers call generalization. First we make a clear distinction between topological and metric aspects of maps, and describe suitable mathematical tools for treating both cathegories. Then we analyse the basic operations of generalization, pointing out whether each one affects the metric or topological structure of a map. Finally we discuss how generalization operations can fit into the described mathematical framework. This is intended as a step towards a global approach to automatic generalization.