Averaged Mean Curvature Flow

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Time units elapsed:

Scale: Edge length = 1, box = 1 x 1 x 15, time step = 0.01. Initially 498 vertices, finally 112. Initially 992 facets, finally 220. Facet threshold: Eliminated facet if area is less than 1/5 of average of all facets. The facets all vanished at the ends of the tube. After 2000 iterations the flow has for all practical purposes reached its stationary limit: a sphere. It does not look perfectly round because the facets are of very different interior angles and sizes. After refining the triangulation of the previous object and going another 200 steps it appears much rounder (442 vertices and 880 facets).
System: AMD486DX4-100 running Linux 1.2.13. Computation time: About 6 or 7 hours.

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Back	mayer@math.utah.edu
	Posted on: Fri Mar 10 10:22:31 MET 2000