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The divider set of explicit parametric geometryUgail, Hassan, Aggarwal, A., Bakopoulos, Y., Kotsios, S. January 2008 (has links)
Yes / In this paper we describe a novel concept for classification
of complex parametric geometry based on the concept
of the Divider Set. The Divider Set is an alternative concept
to maximal disks, Voronoi sets and cut loci. The Divider
Set is based on a formal definition relating to topology
and differential geometry. In this paper firstly we discuss
the formal definition of the Divider Set for complex
3-dimensional geometry. This is then followed by the introduction
of a computationally feasible algorithm for computing
the Divider Set for geometry which can be defined
in explicit parametric form. Thus, an explicit solution form
taking advantage of the special form of the parametric geometry
is presented. We also show how the Divider Set can
be computed for various complex parametric geometry by
means of illustrating our concept through a number of examples
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