Line Simplification in the Presence of Non-Planar Topological Relationships
A main objective of many line simplification methods is to progressively reduce the scale of shape properties and, in turn, provide a more explicit representation of global shape properties. However, current simplification methods which attempt to achieve this objective, while also maintaining non-planar topological relationships, are restricted and cannot always achieve an optimal result. In this paper, we present a line simplification method which removes these restrictions. This is achieved through the use of a computable set of topological invariants, which is complete and allows the topological consistency of an arbitrary simplification to be determined.
KeywordsLine simplification Map generalisation Topology
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Research presented in this paper was funded by the Irish Research Council for Science Engineering and Technology (IRCSET) EMPOWER program, the Irish Environmental Protection Agency (EPA) STRIVE programme (Grant 2008-FS-DM-14-S4) and a Strategic Research Cluster Grant (07/SRC/I1168) from Science Foundation Ireland under the National Development Plan.
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