Introduction

The excitement of computational geometry is due to a combination of factors: deep connections with classical mathematics and theoretical computer science on the one hand, and many ties with applications on the other. Indeed, the origins of the discipline clearly lie in geometric questions that arose in areas such as computer graphics and solid modeling, computer-aided design, robotics, computer vision, etc. Not only have these more applied areas been a source of problems and inspiration for computational geometry but, conversely, several techniques from computational geometry have been found useful in practice as well.

Nevertheless, many of the new algorithms are simple and practical to implement-it is only their analysis that requires advanced mathematical tools.