Pocket deformity problem
From: Usman Shakeel (mushakil_at_uwaterloo.ca)
Date: 07/12/04
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Date: Mon, 12 Jul 2004 12:18:03 0400
Given a 3D object (represented by a point set in 3D) with,
A flexible pocket that has been deformed n times, {P1, .. Pn}
How can we model the deformation of the pocket over time.
One approach,
Find a set of m speheres {S1, .. Sm} each with center points {c1, .. cm}
The spheres are placed in the pockets in a manner such that;
d(ci, cj) is preserved for all placements of the spheres, for 1<= i, j<=m
The radii are set to maximize the minimum percentage of volume taken up by
the spheres while being contained within any one pocket
Does any body know of any paper in the literature that deals with a simillar
problem?
Any pointers in this regard will be highly appreciated.
Many thanks
Usman
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