Displaying similar documents to “An Algorithm for Reconstructing Convex Bodies from Their Projections.”

Continuous reformulations and heuristics for the Euclidean travelling salesperson problem

Tuomo Valkonen, Tommi Kärkkäinen (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider continuous reformulations of the Euclidean travelling salesperson problem (TSP), based on certain clustering problem formulations. These reformulations allow us to apply a generalisation with perturbations of the Weiszfeld algorithm in an attempt to find local approximate solutions to the Euclidean TSP.

The skeleta of convex bodies

David G. Larman (2009)

Banach Center Publications

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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.