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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