Computational geometry emerged from the field of algorithms design and anal ysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The suc cess of the field as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains-computer graphics, geographic in formation systems (GIS), robotics, and others-in which geometric algorithms playafundamental role. For many geometric problems the early algorithmic solutions were either slow or difficult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simplified many of the previous approaches. In this textbook we have tried to make these modem algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry, but it can also be used for self-study.
A broad overview of the major algorithms and data structures of the field Motivated from applications Self-contained and illustrated with 370 figures 2nd edition comes with new exercises and larger revisions in chapters 4 and 7 Includes supplementary material: sn.pub/extras
Mark de Berg
Algorithmische Geometrie CAD/CAM Computer Graphics Computergrafik Geografische Informationssysteme Geographic Information Systems Partition Robotics Robotik computational geometry geometry algorithm analysis and problem complexity complexity