Over the past decade or so, researchers and professionals in discrete geometry and the newer field of computational geometry have developed a highly productive collaborative relationship, where each area benefits from the methods and insights of the other. At the same time that discrete and computational geometry are becoming more closely identified, applications of the results of this work are being used in an increasing number of widely differing areas, from computer graphics and linear programming to manufacturing and robotics. The editors and authors, all respected experts in their fields, have answered the need for a comprehensive handbook for professionals 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.