Topology in Geographic Information System

Authored by: Kumar Prasanna

Encyclopedia of Image Processing

Print publication date:  November  2018
Online publication date:  November  2018

Print ISBN: 9781482244908
eBook ISBN: 9781351032742
Adobe ISBN:


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Topology is an important branch of mathematics which conceived out of properties of real line, Euclidean spaces, and the continuous functions on these spaces. Because of this, it has strong and wide applications in geographic information systems (GISs). Most topological structures fit well into GIS, with the dynamics of real-life problems within and across spatial proximities. In the geographic framework, the spatial relationships are the central points for the objects generating them. These structures are identified through topo-geographic and metric-geographic functionalities and the corresponding topologies emerged out of it: mostly object or feature flavored or both. The modeling capabilities are explained and illustrated in detail in many of the papers in this direction. Most prominent theories developed for representing the geographical objects through their topological characteristics will facilitate an integrated visualization of the problem in hand. The abstractions of characterized objects are justified through greater works that can be seen widely in the literature.

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