English

Detection of symmetry using a crystallographic image processing algorithm

Popular Physics 2019-08-22 v1 Physics Education

Abstract

This article presents an automated method to quantify and detect symmetry elements in 2D patterns by means of image processing. Escher's woodcuts, a widely recognized didactic tool for crystallographic education of students, were used to demonstrate this approach. We also discuss peculiarities in the detection of black and white symmetry, color symmetry, and detection of the "hidden" and "broken" symmetry elements by means of the phase origin map approach.

Keywords

Cite

@article{arxiv.1908.07932,
  title  = {Detection of symmetry using a crystallographic image processing algorithm},
  author = {Paul Plachinda},
  journal= {arXiv preprint arXiv:1908.07932},
  year   = {2019}
}

Comments

14 pages, 15 figures

R2 v1 2026-06-23T10:53:20.229Z