Approximate symmetries of planar algebraic curves with inexact input

Abstract

In this paper, we formulate a simple algorithm for an approximate reconstruction of an inexact planar curve which is assumed to be a perturbation of some unknown planar curve with symmetry. The input curve is given by a perturbed polynomial. We use a matrix complex representation of algebraic curves for simple estimation of the potential symmetry. A functionality of the designed reconstruction method is presented on several examples.