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The Voronoi diagram of a set of sites is a partition of the plane into regions, one to each site, such that the region of each site contains all points of the plane that are closer to this site than to the other ones. Such partitions are of great importance to computer science and many other fields. The challenge is to compute Voronoi diagrams quickly. The problem is that their structure depends on the notion of distance and the sort of site. In this book the author proposes a unifying approach by introducing abstract Voronoi diagrams. These are based on the concept of bisecting curves, which...

Wie bestimmt man in einer Menge von Punkten am schnellsten zu jedem Punkt seinen nächsten Nachbarn? Wie findet man schnell alle Städte in einem rechteckigen Kartenausschnitt? Wie misst man die Ähnlichkeit von zwei Kurven?

By presenting state-of-the-art aspects of theoretical computer science and practical applications in various fields, this book commemorates the 60th birthday of Thomas Ottmann.

The 26 research papers presented span the whole range of Thomas Ottmann's scientific career, from formal languages to algorithms and data structures, from topics in practical computer science like software engineering or database systems to applications of Web technology, groupware, and e-learning.