Exact analysis of optimal configurations in radii computations
نویسندگان
چکیده
We propose a novel characterization of (radii-) minimal projections of polytopes onto j-dimensional subspaces. Applied on simplices this characterization allows to reduce the computation of an outer radius to a computation in the circumscribing case or to the computation of an outer radius of a lower-dimensional simplex. This allows to close a gap in the knowledge on optimal configurations in radii computations, such as determining the radii of smallest enclosing cylinders of regular simplices in general dimension.
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تاریخ انتشار 2005