Book list

1.
Algorithmic Geometry
J-D. Boissonnat and M. Yvinec
1998 (English translation of 1995 book Geometrie Algorithmique)
http://www.amazon.com/Algorithmic-Geometry-Jean-Daniel-Boissonnat/dp/0521565294/ref=pd_sim_b_3
- more detailed and mathematical than 2.

2.
Computational Geometry: Algorithms and Applications, Second Edition (Hardcover)
Mark de Berg (Author), M. van Krefeld (Author), M. Overmars (Author), O. Schwarzkopf (Author) 
2008 3rd edition
http://www.amazon.com/exec/obidos/ASIN/3540656200/asmctommy-20
Comments:
- most common CG textbook
- Shuang (Sean) Luan used it for the 2007 and 2009 CS UNM comp. geom. classes
- Joe Mitchell at SUNY Stonybrook used this in spring 2010 for his graduate level class

3.
Computational Geometry: An Introduction (Monographs in Computer Science) (Hardcover)
Franco P. Preparata and Michael Ian Shamos
1985
- classic, we used it when Scott took the class in 1990, and it is still being used in courses today
- expensive, >$100

4.
Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science) (Paperback)
Joseph O'Rourke (2000)
- The author uses it for an undergrad CG class.
- Focus on computing and source code
- The author is a very good teacher
- popular, several reprints and editions

5.
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics) (Paperback)
Herbert Edelsbrunner 
2006
- includes topology

6. 
Topology for Computing
Afra Zomorodian 
2005
- complexes, a generalization of the idea of triangulations
- less geometric than computational geometry
- less algebraic and more applied and geometric than typical algebraic topology courses
- Afra spent 10 weeks with Scott in spring 2010

6.
http://compgeom.cs.uiuc.edu/~jeffe/compgeom/books.html
- web site compendium of books - hasn't been updated in a long time


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Related topics

geometry
linear algebra
algebraic topology
graph theory


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Software
  CGAL, boost, qhull, scotts matlab triangulation, vavasis qmg

http://www.andrew.cmu.edu/user/sowen/mesh.html