“Modeling Cell Layers on Complex Surfaces Using Constrained Voronoi Diagrams” by Wood
Conference:
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Entry Number: 70
Title:
- Modeling Cell Layers on Complex Surfaces Using Constrained Voronoi Diagrams
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Abstract:
Voronoi diagrams, found in the morphology of many biological structures, produce natural-looking networks of cells in two dimensions. But creating three dimensional models of cell layers in biological tissue is difficult when the tissue has a complex shape. I present a new method that constrains a Voronoi diagram to an arbitrary surface. Unlike other approaches, my method does not require computationally expensive boundary intersection calculations.
References:
1. Mackercher, P. A., Ivey, K. J., Baskin, W. N., and Krause, W. J. 1978. A scanning electron microscopic study of normal human oxyntic mucosa using blunt dissection and freeze fracture. Am J Dig Dis 23, 5, 449–59.
2. Yan, D.-M., Wang, W., Lévy, B., and Liu, Y. 2010. Efficient computation of 3d clipped voronoi diagram. In Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing, Springer-Verlag, Berlin, Heidelberg, GMP’10, 269–282.
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