Title: Algorithmic Geometry Author(s): Jean-Daniel Boissonnat, Mariette Yvinec Pages: 544 Publisher: Cambridge University Press Publication date: 2001 Language: English Format: DJVU ISBN-10: 0521565294 ISBN-13: Description: The design and analysis of geometric algorithms has seen remarkable growth in recent years, due to their application in computer vision, graphics, medical imaging, and CAD. Geometric algorithms are built on three pillars: geometric data structures, algorithmic data structuring techniques and results from combinatorial geometry. This comprehensive presents a coherent and systematic treatment of the foundations and gives simple, practical algorithmic solutions to problems. An accessible approach to the subject, Algorithmic Geometry is an ideal guide for instructors or for beginning graduate courses in computational geometry.
Review
"This interesting book about computational geometry is a translation of the well known ^Geometrie Algorithmique^...The translation also contains many more concise proofs, new interesting exercises (for instance about data structures), new explanatory figures, and a more extensive index." Mathematical Reviews
"This text book is a careful introduction to this field. It does not aim for completeness, but concentrates on explaining the fundamental ideas, concepts, and structures: deterministic and randomized algorithms, convex hulls, triangulations, arrangements, Voronoi diagrams." Monatshefte fur Mathematik