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A shape evolution model under affine transformations

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arxiv 1604.07630 v2 pith:HXL4EESJ submitted 2016-04-26 math.MG math.DS

Gábor Domokos , Zsolt Lángi , Márk Mezei This is my paper · ORCID
classification math.MGmath.DS
keywords affineclassesbodydescribeabrasionactingapplicationsbodies
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In this note we describe a discrete dynamical system acting on the similarity classes of a plane convex body within the affine class of the body. We find invariant elements in all affine classes, and describe the orbits of bodies in some special classes. We point out applications with abrasion processes of pebble shapes.

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