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What is space? Is there space when there are objects to occupy it or is there space only when there are no objects to occupy it? Can there be space without objects? These are old philosophical questions that concern the ontology of space in the philosophical sense of ‘ontology’ – what is the nature of space? Cognitive science in general and arti?cial intelligence in particular are less c- cerned with the nature of things than with their mental conceptualizations. In spatial cognition research we address questions like What do we know about space? How is space represented? What are the representational entities? What are the rep- sentational structures? Answers to these questions are described in what is called ontologies in arti?cial intelligence. Different tasks require different knowledge, and different representations of knowledge facilitate different ways of solving problems. In this book, Jan Oliver Wallgrün develops and investigates representational structures to support tasks of autonomous mobile robots, from the acquisition of knowledge to the use of this knowledge for navigation. The research presented is concerned with the robot mapping problem, the pr- lem of building a spatial representation of an environment that is perceived by s- sors that only provide incomplete and uncertain information; this information usually needs to be related to other imprecise or uncertain information. The routes a robot can take can be abstractly described in terms of graphs where alternative routes are represented by alternative branches in these route graphs.

Engineering. --- Mobile robots -- Programming. --- Spatial data infrastructures. --- Voronoi polygons. --- Robots --- Mobile robots --- Voronoi polygons --- Spatial data infrastructures --- Mechanical Engineering --- Mechanical Engineering - General --- Engineering & Applied Sciences --- Dynamics --- Programming --- Programming. --- Diagrams, Voronoi --- Thiessen polygon method --- Thiessen polygons --- Voronoi diagrams --- SDIs (Geographic information systems) --- Artificial intelligence. --- Robotics. --- Automation. --- Robotics and Automation. --- Artificial Intelligence (incl. Robotics). --- Geographic information systems --- Polygons

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The year 2008 is a memorial year for Georgiy Voronoi (1868 -1908), with a number of events in the scientific community commemorating his tremendous contribution to the area of mathematics, especially number theory, through conferences and scientific gatherings in his honor. A notable event taking place in September 2008 a joint conference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) and 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 key 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 provide the reader with in-depth overview and analysis of the fundamental methods and techniques developed following G. Voronoi ideas, in the context of the vast and increasingly growing area of computational intelligence. It represents the collection 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 in the area, improving on previous solutions, merging sciences together, and inventing new ways of 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 place in Banff, Canada, in June 2006. Some others are direct submissions by leading international experts in the prospective areas.

Engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Artificial Intelligence (incl. Robotics). --- Artificial intelligence. --- Engineering mathematics. --- Ingénierie --- Intelligence artificielle --- Mathématiques de l'ingénieur --- Geometry --- Voronoi polygons --- Computational intelligence --- Engineering & Applied Sciences --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Civil Engineering --- Computer Science --- Applied Mathematics --- Data processing --- Voronoi polygons. --- Computational intelligence. --- Intelligence, Computational --- Diagrams, Voronoi --- Thiessen polygon method --- Thiessen polygons --- Voronoi diagrams --- Applied mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Artificial intelligence --- Soft computing --- Polygons --- Mathematical and Computational Engineering. --- Artificial Intelligence.