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arXiv · 1604.07630

A shape evolution model under affine transformations

Gábor Domokos·Zsolt Lángi·Márk Mezei
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Abstract

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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Gábor Domokos, Zsolt Lángi, Márk Mezei. 2017-09-18. A shape evolution model under affine transformations. https://arxiv.org/abs/1604.07630

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