1. Introduction -- 2. Two-dimensional Delaunay triangulations -- 3. Algorithms for constructing Delaunay triangulations -- 4. Three-dimensional Delaunay triangulations -- 5. Algorithms for constructing Delaunay triangulations in R[superscript 3] -- 6. Delaunay refinement in the plane -- 7. Voronoi diagrams and weighted complexes -- 8. Tetrahedral meshing of PLCs -- 9. Weighted Delaunay refinement for PLCs with small angles -- 10. Sliver exudation -- 11. Refinement for sliver exudation -- 12. Smooth surfaces and point samples -- 13. Restricted Delaunay triangulations of surface samples -- 14. Meshing smooth surfaces and volumes -- 15. Meshing piecewise smooth complexes.