A textbook which introduces undergraduates to the design of geometry algorithms, which arise in a range of practical areas such as computer graphics, robotics and pattern recognition. The basic techniques used in computational geometry are covered - polygon triangulations and so on.
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"It teaches the subject with the care and precision one hopes to find in the best colleges and universities. The development of the material is well placed, self-contained, and wonderfully motivated. The explanations flow at an unhurried pace and account for most any question one might have when meeting the subject for the first time....Teaching a course from this book must be a distinct pleasure." Christoph M. Hoffmann, SIAM Review
This is the newly revised and expanded edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangualtions, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but it reaches topics on the frontier of current research. Thus professional programmers will find it a useful tutorial.
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