By Topic

The Fusion as a Novel Binary Operation on Medial Axes

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Mekhedov, I. ; Dorodnicyn Comput. Center, Russian Acad. of Sci., Moscow, Russia ; Mestetskiy, L.

This paper presents a novel type of binary operation on medial axes: fusion of medial axes. A method for fusing medial axes of two-dimensional objects is described. The method is applicable to a pair of the medial axes of adjacent multiply-connected polygonal domains in the plane. The algorithm computes the medial axis from a structure called Delaunay graph which embodies information about adjacency in the Voronoi diagram of the edges and vertices. It is shown how Delaunay graphs can be merged and hence how the fused medial axis can be computed from individual Delaunay graphs. The main singularity of the fusing operation is that to construct the medial axis for a union of two adjacent figures in is not necessary to explicitly union the figures. This makes sense in those cases when two figures sharing finite number of polygonal chains overlap in the plane and cannot be united. Such problem of overlapped polygons occurs frequently in handling geospatial map objects in GIS (for example, bridge and road different level parts within an interchange). The complexity of the proposed method is O(n log n) where n is a number of vertices both in two polygonal figures.

Published in:

Voronoi Diagrams in Science and Engineering (ISVD), 2010 International Symposium on

Date of Conference:

28-30 June 2010