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A variety of applications nowadays deal with complex dynamical problems where the data sets and interactions change over time. One of the ways to effectively deal with such problems is to employ Delaunay triangulation (DT). The structure however is well known to undergo significant changes when vertices are inserted or removed. A DT with dynamical updates displays visualization artifacts with non-smooth...
Recent advances in sensors technology have led to design and development of variety of geosensor networks and their applications in many disciplines. Such networks consist of a set of sensors laying on different locations and sensing various real world phenomena for environmental monitoring, object surveillance, tracking and controlling applications. A fundamental issue in a geosensor network optimization...
In this paper we consider the following problem: Given a set of n Playerl sites in the plane and their Delaunay triangulation D, place minimum possible Player2 sites such that in the resulting Delaunay triangulation D' of the sites of both Players, the neighborship between Playerl sites are as less as possible. We first consider placing minimum number of Player2 sites such that no two Playerl sites...
Solving geometrical problems on a set of 3D balls is a challenging task in computational geometry. They can be solved effectively when the Voronoi diagram for the set is available. The diagram is usually constructed by the edge-tracing or similar algorithms based on finding Voronoi vertices along edges. However, its expected quadratic time complexity makes it impractical. This can be improved significantly...
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