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New solution implemented in routine GETAREA: relevant P, Q can be determined from 3D half-space intersection. Simple 2D example illustrates this concept:

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Two intersecting spheres, S and Ki, define a half-space Hi. Surface of S, deltaS, intersected with Hi gives accessible surface, Ai (marked in blue), i.e., part of deltaS that is not buried in Ki:

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If sphere S has N neighbors, then its accessible surface is given by deltaS crossed with intersection of all N half-spaces:

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Half-space intersection is a polyhedron (called here the "IHS polyhedron") whose edges cross deltaS at exactly the desired points P and Q.


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Robert Fraczkiewicz
Thu Sep 26 15:52:24 CDT 1996