[comp.graphics] Voronoi cell diameter estimation.

spencer@eecs.umich.edu (Spencer W. Thomas) (09/20/90)

I'm looking for cheap way to solve the following problem:

I've got a "randomly" distributed set of K points in the unit cube.  I
would like to estimate, for each point in my set, a bounding box
surrounding the Voronoi cell for that point.  Note that since I am
limiting my space to the unit cube, all the cells will be finite.  If
I can't get a bounding box, I'd be satisfied with a diameter estimate
instead.

In order for this to be helpful, I need an algorithm that is at worst
O(K log K).  The estimate doesn't have to be tight, as long as it
decreases proportionately with the size of the cell.

Thanks.

--
=Spencer W. Thomas 		EECS Dept, U of Michigan, Ann Arbor, MI 48109
spencer@eecs.umich.edu		313-936-2616 (8-6 E[SD]T M-F)