Pocket deformation Problem

Usman Shakil sheikhtexan at yahoo.com
Mon Jul 12 10:23:10 PDT 2004

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.

My 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
Any pointers in this regard will be highly appreciated.

Many thanks


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