Fast Industrial-Strength Triangulation - By Martin Held. Copes with polygons with holes and degeneracies/self-intersections; based on repeatedly clipping ears. Source code on request.
Gmsh - Gmsh is a three-dimensional finite element mesh generator, primarily Delaunay, with built-in pre- and post-processing facilities. Gmsh is freely available for Windows and most UNIX platforms.
GTS - The GNU Triangulated Surface Library - Open-source library for manipulating 3D triangular surface meshes. Delaunay triangulations, robust geometric predicates, robust boolean set operations on surfaces, surface refinement and coarsening, level-of-detail, k-d trees, volume and curvature, strips generation.
JeoEdit - Two Java applets for editing polygons and point sets for input to computational geometry software.
Knotenpunkt - Produces commercial software that creates a surface model out of a pointcloud or polymesh [Balingen, Germany].
Polyhedral FAQ - Frequently Asked Questions in Polyhedral Computation.
Polymake - A tool for the algorithmic treatment of polytopes and polyhedra.
Qhull - Computes convex hulls, Delaunay triangulations, Voronoi diagrams, half-space intersections about a point, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. It runs in 2-d, 3-d, 4-d, and higher dimensions.
QMG project - Mesh generation in 2D and 3D on Unix and NT, and related software by Steven Vavasis.
Smallest Enclosing Ball of Points - Fast and robust C++ code available under GNU license. Handles arbitrary dimensions, and has high numerical stability.
Surface Evolver - Free interactive program for modelling liquid surfaces shaped by various forces and constraints, e.g., minimal surfaces (bubbles). Applies gradient descent to minimize energy. Available for most platforms.