Voronoi Diagram: The Generator Recognition Problem

Details Voronoi Diagram: The Generator Recognition Problem Voronoi Diagram: The Generator Recognition Problem

2011-05-21

arxiv.org/abs/1105.4246v1

Computer Science

Computational Geometry

Project Summary

Scientific paper

For the analysis of systems consisting of small, regular objects, the methods of mathematical morphology applied to images of these systems are well-suited. One of these methods is the use of Voronoi polygons. It was found that the Voronoi tessellation method represents a powerful tool for the analysis of thin film morphology and provides nanostructural information to many multi-particle assemblies. In these notes, several morphological algorithms are analyzed and we study how to join all of them to design a graphical user interface (GUI) that provides as input for the system the "AFM image" and interprets the output of the system in terms of errors and generators coordinates.

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