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If you want to read more about computational geometry and its applications we can recommend some of the following books:


General

   J. Goodman and J. O'Rourke, editors
   The Handbook of Discrete and Computational Geometry
   CRC Press LLC
   1997, second edition 2004
   ISBN 1-58488-301-4

Combinatorial geometry

   H. Edelsbrunner
   Algorithms in Combinatorial Geometry
   EATCS Monographs on Theoretical Computer Science, Vol 10
   Springer-Verlag
   1987
   ISBN 3-540-13722-X

   J. Pach and P. Agarwal
   Combinatorial Geometry
   John Wiley & Sons
   1995
   ISBN 0-471-58890-3

Data structures

   M. Overmars
   The Design of Dynamic Data Structures
   Lecture Notes in Computer Science, Vol 156
   Springer-Verlag
   1983
   ISBN 3-540-12330-X

   H. Samet
   The Design and Analysis of Spatial Data Structures
   Addison-Wesley
   1990
   ISBN 0-201-50255-0

   H. Samet
   Applications of Spatial Data Structures
   Addison-Wesley
   1990
   ISBN 0-201-50300-X

Randomized algorithms

   K. Mulmuley
   Computational Geometry: An Introduction Through Randomized Algorithms
   Prentice Hall
   1994
   ISBN 0-13-336363-5

Voronoi diagrams

   A. Okabe, B. Boots, and K. Sugihara
   Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
   John Wiley & Sons
   1992

   R. Klein
   Concrete and Abstract Voronoi Diagrams
   Lecture Notes in Computer Science, Vol 400
   Springer-Verlag
   1989

Arrangements

   M. Sharir and P. Agarwal
   Davenport-Schinzel Sequences and Their Geometric Applications
   Cambridge University Press
   1995
   ISBN 0-521-47025-0

Hidden Surface Removal

   M. de Berg
   Ray Shooting, Depth Orders and Hidden Surface Removal
   Lecture Notes in Computer Science, Vol 703
   Springer-Verlag
   1993
   ISBN 3-540-57020-9

Motion planning and Robotics

   J.-C. Latombe
   Robot Motion Planning
   Kluwer Academic Publishers
   1991

   K. Goldberg, D. Halperin, J.-C. Latombe, R. Wilson
   Algorithmic Foundations of Robotics
   A.K. Peters
   1995
   ISBN 1-56881-045-8

   J.-P. Laumond, M. Overmars
   Algorithms for Robotic Motion and Manipulation
   A.K. Peters
   1997
   ISBN 1-56881-067-9

   P.K. Agarwal, L.E. Kavraki, M.T. Mason
   Robotics, The Algorithmic Perspective
   A.K. Peters
   1998
   ISBN 1-56881-081-4
   

Implementation

   K. Mehlhorn, S. Naeher,
   LEDA, A Platform for Combinatorial and Geometric Computing
   Cambridge University Press
   1999
   ISBN 0-521-56329-1