Cartographic Line Generalization with Waterlines and Medial-Axes

Author: Christensen, Albert H.J.

Source: Cartography and Geographic Information Science, Volume 26, Number 1, January 1999 , pp. 19-32(14)

Publisher: Cartography and Geographic Information Society

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Abstract:

A line generalization solution is presented based on the operations known as water-lining and medial-axis transformation. Although the solution is of general application, this report focuses on shorelines. The method is shown to preserve the general shape of a line through very broad scale changes; it also makes it possible to perform feature aggregation and elimination, where needed. Each scale change is proven to depend on the maximum distance spanned by the waterlining operation, which distance can be equated to the quantity known as ε in the generalization literature. The challenges encountered in the development of the generalization procedure are discussed; these challenges are less on the side of line simplification and more in the aggregation of features. Solutions are presented for broadening isthmus, linkages to streams and rivers, and the collapsing of straits into double and coincident lines. Particular shoreline configurations are shown to lead to ambiguities in feature aggregation and elimination that require user's input in order to be resolved. Intermediate results are found to replicate those submitted 39 years ago by Julian Perkal in his proposal for an objective generalization.
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  • Cartography and Geographic Information Science (CaGIS) is the official publication of the Cartography and Geographic Information Society. CaGIS supports research, education, and practices that improve the understanding, creation, analysis, and use of maps and geographic information. The society serves as a forum for the exchange of original concepts, techniques, approaches, and experiences by those who design, implement, and use geospatial technologies through the publication of authoritative articles and international papers. The role of the CaGIS journal is to facilitate these objectives by disseminating results and reports in these areas of interest.

    Cartography and Geographic Information Science (CaGIS) is now being published by Taylor & Francis as of 2013. Please visit the Journal's website at www.tandfonline.com/tcag or contact subscriptions@tandf.co.uk to subscribe and obtain online access.

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