Voronoi diagrams on piecewise flat surfaces and an application to biological growth
نویسندگان
چکیده
This paper introduces the notion of Voronoi diagrams and Delaunay triangulations generated by the vertices of a piecewise #at, triangulated surface. Based on properties of such structures, a generalized #ip algorithm to construct the Delaunay triangulation and Voronoi diagram is presented. An application to biological membrane growth modeling is then given. A Voronoi partition of the membrane into cells is maintained during the growth process, which is driven by the creation of new cells and by restitutive forces of the elastic membrane. c © 2001 Published by Elsevier Science B.V.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 263 شماره
صفحات -
تاریخ انتشار 2001