Software

CGAL - Computational Geometry Algorithms Library - huge European effort
http://www.cgal.org/

Shewchuk's Triangle
http://www.cs.cmu.edu/~quake/triangle.html

Mitchell's Computational Geometry Pages, including demo meshers 
https://www.sandia.gov/-samitch/scott-a-mitchell/publications/computational-geometry-papers/

Vavasis's QMG project 
http://www.cs.cornell.edu/home/vavasis/qmg-home.html

For C++ aficionados
Boost Graph Library (BGL)
CGAL interfaces to it / uses it.
www.boost.org, search for "graph library" internally
complicated, templated, generic, flexible - some love it...

C++ STL standard template library

Cubit, Sandia's mesh generation toolkit,
http://cubit.sandia.gov/
Request the educational version; it's free, but no source code is available
unless you form a research partnership with them.

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

Main CG conferences:
Symposium on Computational Geometry, Canadian Conference on Computational Geometry, European Workshop on Computational Geometry
http://www.computational-geometry.org/

http://www.sci.utah.edu/socg2010/
http://portal.acm.org/browse_dl.cfm?coll=ACM&dl=ACM&idx=SERIES361&linked=1&part=series

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Interesting web sites

O'Rourkes open problems 
http://maven.smith.edu/~orourke/TOPP/

Eppstein's Geometry Junkyard (math)
http://www.ics.uci.edu/~eppstein/junkyard/index.html

Eppstein's Geometry In Action (applications) 
http://www.ics.uci.edu/~eppstein/geom.html

Tamal Dey's Volume and Surface Meshing
http://www.cse.ohio-state.edu/~tamaldey/mesh.htm

Jonathan Shewchuk
http://www.cs.cmu.edu/~jrs/

Scott Mitchell's cubit-related meshing papers 
https://www.sandia.gov/-samitch/scott-a-mitchell/publications/meshing-papers/