Generalized Voronoi diagram

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The year 2008 marks a significant commemoration of Georgiy Vorono (1868-1908), celebrating his immense contributions to mathematics, particularly in number theory, through various scientific events. A highlight is the joint conference in September 2008, which includes the 5th Annual International Symposium on Voronoi Diagrams and the 4th International Conference on Analytic Number Theory and Spatial Tessellations, held in Kyiv, Vorono's birthplace. His fundamental ideas have profoundly influenced key advancements in computational geometry, image recognition, artificial intelligence, robotics, and more, impacting fields such as navigation, molecular modeling, quantum computing, and biometrics. This book aims to provide a comprehensive overview and analysis of the essential methods and techniques that have emerged from Voronoi's concepts, particularly within the expanding realm of computational intelligence. It showcases cutting-edge research that bridges geometric computing via Voronoi diagrams and intelligent computation techniques, advancing current knowledge, improving existing solutions, and fostering interdisciplinary collaboration to tackle complex applied challenges.