For the first time discrete geometry, geometric computing, and their many applications in one complete reference. The authors have answered the need for a comprehensive handbook for workers in these and related fields, and for other users of the body of results. The Handbook of Discrete and Computational Geometry brings together, for the first time, all of the major results in both these fields into one volume. Thousands of results theorems, algorithms, and tables throughout the volume definitively cover the field, while numerous applications from many different fields demonstrate practical usage. The material is presented clearly enough to assist the novice, but in enough depth to appeal to the specialist. Over 200 figures illustrate the concepts presented and provide supporting examples.