A shape evolution model under affine transformations
Metric Geometry
2017-09-19 v2 Dynamical Systems
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.
Cite
@article{arxiv.1604.07630,
title = {A shape evolution model under affine transformations},
author = {Gábor Domokos and Zsolt Lángi and Márk Mezei},
journal= {arXiv preprint arXiv:1604.07630},
year = {2017}
}
Comments
17 pages, 4 figures