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  Computational Geometry: Algorithms and Applications http://www.cs.ruu.nl/geobook/
Recent book with a focus on applications, by Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Schwarzkopf. Includes chapters on line-segment intersection, polygon triangulation, linear programming, range searching, point location, Voronoi diagrams, arrangements and duality, Delaunay triangulations, geometric data structures, convex hulls, binary space partitions, robot motion planning, visibility graphs.
  Computational Geometry in C http://www.cs.smith.edu/~orourke/books/compgeom.html
A well-known textbook by Joseph O'Rourke, including chapters on polygon triangulation, polygon partitioning, convex hulls in 2D and 3D, Voronoi diagrams, arrangements, search and intersection, and motion planning. Sample code in C and Java.
  CRC Handbook of Discrete and Computational Geometry http://www.cs.smith.edu/~orourke/books/discrete.html
Comprehensive handbook, edited by Jacob E. Goodman and Joseph O'Rourke, with 52 chapters in its first edition and 65 chapters in its second edition.
  Art Gallery Theorems and Algorithms http://www.cs.smith.edu/~orourke/books/art.html
By Joseph O'Rourke. Survey and description of the work in guarding "art galleries" and their generalizations, up until the date of publication (1987). Written for a general mathematical audience.
  Algorithms in Combinatorial Geometry http://www.springer.com/computer/foundations/book/978-3-540-13722-1
One of the well-known early textbooks, by Herbert Edelsbrunner. Includes chapters on arrangements, convex hulls, linear programming, planar point location, Voronoi diagrams, and separation and intersection.

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