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.