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The year 2008 can be a memorial year for Georgiy Voronoi (1868 -1908), which has a number of events inside scientific community commemorating his tremendous contribution towards the area of mathematics, especially number theory, through conferences and scientific gatherings as part of his honor. A notable event taking place in September 2008 a joint conference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) as well as the 4th International Conference on Analytic Number Theory and Spatial Tessellations held in Kyiv, Georgiy Voronoi’s native land. The main ideas expressed by G. Voronoi’s through his fundamental works have influenced and shaped the main element developments in computation geometry, image recognition, artificial intelligence, robotics, computational science, navigation and obstacle avoidance, geographical information systems, molecular modeling, astrology, physics, quantum computing, chemical engineering, material sciences, terrain modeling, biometrics and other domains. This book is intended to give you the reader with in-depth overview and analysis from the fundamental methods and techniques developed following G. Voronoi ideas, within the context from the vast and increasingly growing part of computational intelligence. It represents the number of state-of-the art research methods merging the bridges between two areas: geometric computing through Voronoi diagrams and intelligent computation techniques, pushing the limits of current knowledge inside area, improving on previous solutions, merging sciences together, and inventing new methods for approaching difficult applied problems. Some chapters of the book were invited following the successful 3rd Annual International Symposium on Voronoi Diagrams (ISVD’06), that took invest Banff, Canada, in June 2006. Some others are direct submissions by leading international experts inside the prospective areas.
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