death_map_2009_ajou


death_map_2009_ajou, "The Death Map - Reading Nature's Geometry", a talk to the Mathematics Department at Ajou University, Suwon, Korea on 12 May 2009.

My talk was sponsored by Professor Hyung-Chun Lee. Despite the gruesome title, the subject was primarily Voronoi diagrams, with a little information on their properties and construction, and the creation of "centered" or "centroidal" Voronoi diagrams.

A plain text abstract of the talk is available as death_map_2009_ajou.txt.

Reference:

  1. The John Snow web site maintained by the UCLA School of Public Health at https://www.ph.ucla.edu/epi/snow.html.
  2. Eldridge Adams,
    Territory Size and Shape in Fire Ants: A Model Based on Neighborhood Interactions,
    Ecology,
    Volume 79, Number 4, June 1998, pages 1125-1134.
  3. Franz Aurenhammer,
    Voronoi diagrams - a study of a fundamental geometric data structure,
    ACM Computing Surveys,
    Volume 23, Number 3, September 1991, pages 345-405.
  4. George Barlow,
    Hexagonal Territories,
    Animal Behavior,
    Volume 22, 1974, pages 876-878.
  5. John Byers,
    Dirichlet Tessellation of Bark Beetle Spatial Attack Points,
    Journal of Animal Ecology,
    Volume 61, 1992, pages 759-768.
  6. John Byers,
    Correct Calculation of Dirichlet Polygon Areas,
    Journal of Animal Ecology,
    Volume 65, 1996, pages 528-529.
  7. Marc deBerg, Marc Krevald, Mark Overmars, Otfried Schwarzkopf,
    Computational Geometry,
    Springer, 2000,
    ISBN: 3-540-65620-0,
    LC: QA448.D38.C65.
  8. Qiang Du, Vance Faber, Max Gunzburger,
    Centroidal Voronoi Tessellations: Applications and Algorithms,
    SIAM Review,
    Volume 41, Number 4, December 1999, pages 637-676.
  9. Herbert Edelsbrunner,
    Geometry and Topology for Mesh Generation,
    Cambridge, 2001,
    ISBN: 0-521-79309-2,
    LC: QA377.E36.
  10. Sandra Hempel,
    The Strange Case of the Broad Street Pump,
    University of California, 2007,
    ISBN13: 978-0520250499,
    LC: RA644.C3.H46.
  11. Christian Icking, Rolf Klein, Peter Koellner, Lihong Ma,
    A Java Applet for the Dynamic Visualization of Voronoi Diagrams,
    https://www.pi6.fernuni-hagen.de/GeomLab/VoroGlide
  12. Steven Johnson,
    The Ghost Map,
    Riverhead, 2006,
    ISBN-13: 978-1594489259,
    LC: RC133.G6.J64.
  13. Lili Ju, Qiang Du, Max Gunzburger,
    Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations,
    Parallel Computing,
    Volume 28, Number 10, October 2002, pages 1477-1500.
  14. Atsuyuki Okabe, Barry Boots, Kokichi Sugihara, Sung Nok Chiu,
    Spatial Tessellations: Concepts and Applications of Voronoi Diagrams,
    Second Edition,
    Wiley, 2000,
    ISBN: 0-471-98635-6,
    LC: QA278.2.O36.
  15. Joseph ORourke,
    Computational Geometry,
    Second Edition,
    Cambridge, 1998,
    ISBN: 0521649765,
    LC: QA448.D38.
  16. Robert Renka,
    Algorithm 772: STRIPACK: Delaunay Triangulation and Voronoi Diagram on the Surface of a Sphere,
    ACM Transactions on Mathematical Software,
    Volume 23, Number 3, September 1997, pages 416-434.
  17. Peter Vinten-Johansen, Howard Brody, Nigel Paneth, Stephen Rachman, Michael Rip,
    Cholera, Chloroform, and the Science of Medicine: A Life of John Snow,
    Oxford University Press, 2003,
    ISBN: 019513544X,
    LC: RA649.5.S66.S647.

The following files were used:


Last revised on 10 February 2024.