Voronoi Diagrams and Delaunay Triangulations
Geometric duality, Fortune's algorithm, and applications to meshing.
Voronoi Diagrams and Delaunay Triangulations. Geometric duality, Fortune’s algorithm, and applications to meshing. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of voronoi diagrams and delaunay triangulations approach the subject from complementary angles. Okabe, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2000) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for voronoi diagrams and delaunay triangulations include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2000Spatial Tessellations: Concepts and Applications of Voronoi Diagramsokabe-2000, boots-2000, sugihara-2000, chiu-2000
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