Simplification and Aggregation of Polygon Object Supported by Delaunay Triangulation Structure[J]. Journal of Image and Graphics, 2001, 6(7): 703. DOI: 10.11834/jig.200107153.
Simplification and Aggregation of Polygon Object Supported by Delaunay Triangulation Structure
Polygon simplification and aggregation play an important role in automatic cartographic generalization. Design of this kind of operator algorithm requires to consider geometric and topological characteristics
and needs to find a spatial data model to support extraction of interesting adjacent area
such as bend feature
gap region between polygons
neighbor area between islands within polygon. In this process
detection of neighbor relation is a key step. Delaunay triangulation structure is a powerful tool of spatial neighbor analysis due to its circumcircle principle and closest to equilateral properties. Applying Delaunay triangulation principles
this paper presents a spatial data model and constructs formal selection strategies. On the basis of constructed model
the study systematically investigates the problem of polygon bend simplification
exaggeration as well as neighbor polygon aggregation. The paper divides polygon simplification into steps: islands selection
concave part fill
shallow area skeletonizing
concave part exaggeration and convex part clip. As for polygon aggregation
it is classified as three cases: absorbing
enclosing and separating and three methods are discussed respectively. Some of operator algorithms are presented in the paper and corresponding experiment results are illustrated.