Title of article :
Near Pole Polar Diagram of points and its duality with applications
Author/Authors :
Sadeghi Bigham, Bahram amirkabir university of technology, تهران, ايران , Sadeghi Bigham, Bahram institute for advanced studies in basic sciences (iasbs) - Department of InformationTechnology, زنجان, ايران , Mohades, Ali amirkabir university of technology - Department of Mathematics and computer sciences, تهران, ايران
Abstract :
In this paper we propose a new approach to plane partitioning with similar features to those of PolarDiagram, but we assume that the pole is close to the sites. The result is a new tessellation of the plane in regions called Near Pole Polar Diagram NPPD. Here we define the (NPPD) of points, the dual and the Contracted dual of it, present an optimal algorithms to draw them and discuss the applications and optimality of the algorithms.
Keywords :
Polar Diagram , Near Pole Polar Diagram , NPPD , Voronoi Diagram , Computational Geometry , GraphTheory
Journal title :
AUT Journal of Modeling and Simulation
Journal title :
AUT Journal of Modeling and Simulation
