Biology

• Applications of Voronoi Tesselations to Tumour Cell Diagnosis, Lynne Dunckley.

• Cancer imaging. The BC Cancer Research Ctr. uses minimum spanning trees to describe the arrangements of nuclei in skin cells.

• Case Studies in Biometry. This book by N. Lange and others mentions Voronoi diagrams as a method for detecting clusters of disease incidence.

• Cell aggregation and sphere packing.

• Cerebellar flat mapping. Describes the use of circle-packing methods to map the convoluted surface of the brain into a Euclidean or hyperbolic plane to help visualize its functional areas. See also M. Hurdal's web page on the same research.

• Detecting actin fibers in cell images. A. E. Johnson and R. E. Valdes-Perez use minimum spanning trees for biomedical image analysis.

• Dirichlet tessellation of bark beetle spatial attack points. J. Byers uses Voronoi diagrams to understand the spatial distribution of insects.

• Discrete algorithms in biology and chemistry (in German). Molecular modeling and related projects at the German Nat. Res. Ctr. for Inf. Tech., Inst. for Algorithms and Scientific Computing.

• Geometric Morphometrics, the study of changing shape and its application to evolutionary biology.

• Mesh generation for bioelectric field problems, Oak Ridge Nat. Lab. Discusses general mesh generation techniques as well as some of the problems arising in this application (such as anisotropy of some tissue types).

• Minimal spanning tree analysis of fungal spore spatial patterns, C. L. Jones, G. T. Lonergan, and D. E. Mainwaring.

• Spherulites, a crystal growth formation closely related to Voronoi diagrams and arising in modeling of geological materials, vitamins and red blood cells, and thermoplastics.

• Straight skeleton implementation. Petr Felkel and Stepán Obdrzálek apply this medial axis variant to segmentation of images of placentas as a preliminary step in shape reconstruction from contours.

• Voronoi diagrams in biology, Zdravko Jeremic, Benoit College.

Part of Geometry in Action, a collection of applications of computational geometry.
David Eppstein, Theory Group, ICS, UC Irvine.

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