Title
Testing Shortcuts to Maintain Simplicity in Subdivision Simplification
Abstract
Cartographers collect more data than they need,and so must simplify coastlines,boundaries,and other lin- ear features to display a map at a given scale. Many simplification methods,however,can introduce inter- sections that were not originally present,corrupting the features. Kulik suggests a simple shortcut operation for polyg- onal lines: remove a point pi and connect its former neighbors pi�1 and pi+1 directly,but only if the tri- anglepi�1pipi+1 is empty of other points. We show geodesic triangulations support shortcut operations and triangle tests in O log2 n time for connected subdivi- sions of size n. This can be integrated into simplification methods that support cartographic preferences so that they can also avoid self-intersection.
Year
Venue
Field
2005
CCCG
Discrete mathematics,Binary logarithm,Polygon,Computer science,Subdivision,If and only if,Geodesic
DocType
Citations 
PageRank 
Conference
1
0.39
References 
Authors
9
4
Name
Order
Citations
PageRank
Craig Falls110.39
Yuanxin Liu21239.27
Jack Snoeyink32842231.68
Diane L. Souvaine448077.99