(1) SINTEF ICT Applied Mathematics, P.O. Box 124, Blindern, 0314 Oslo, Norway;(2) Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, 0316 Oslo, Norway;(3) World Beside AS, Gaustadalléen 25, 0373 Oslo, Norway
Abstract:
In this paper we present a method for simultaneous simplification of a collection of piecewise linear curves in the plane.
The method is based on triangulations, and the main purpose is to remove line segments from the piecewise linear curves without
changing the topological relations between the curves. The method can also be used to construct a multi-level representation
of a collection of piecewise linear curves. We illustrate the method by simplifying cartographic contours and a set of piecewise
linear curves representing a road network.