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Fitting Spheres in Arbitrary Geometry

  1. Sep 20, 2010 #1
    Hello,

    I am constructing a MATLAB script to tightly pack an arbitrary given geometry with spheres of a predefined radius. Coordinates of the vertices of the geometry (a polyhedral model) are given; I am thereby developing an algorithm to plot/track all spheres that fit within the boundaries of the model (defined only by the provided vertex data).

    I have successfully tested a script that eliminates all spheres that are "crossing" the model boundary; my difficulty, however, lies within teaching MATLAB how to distinguish spheres that are fully within the boundary from spheres that lie entirely exterior to it. What conditions/techniques could I use to (relatively simply) tell MATLAB not to track a sphere if it lies completely outside of the given vertex/boundary data? I aim to construct a grid of spheres that entirely encompasses the geometry and thereafter have the code systematically eliminate spheres that lie upon or outside of the given vertex/boundary data. Only the spheres lying completely within are plotted/tracked!

    I seem to be pulling my hair out over this one. Any assistance would be greatly appreciated!

    Best,
    Paul
     
  2. jcsd
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