Abstract

The Bentley-Ottmann (BO) algorithm, initially designed to report theintersection points of line-segments in the plane, is the prototypicalsweep-line algorithm. This video presents an extension of the BOalgorithm to the spherical setting, so as to compute the exactarrangement of a collection of circles on a sphere.An application in bio-chemistry, geared towards the investigation ofatomic environments and multi-body interactions in macro-molecules, isalso presented.The reader is referred toRef. [1] for the companion paper of this video.

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