English

Squares that Look Round: Transforming Spherical Images

Graphics 2016-05-05 v1 History and Overview

Abstract

We propose M\"obius transformations as the natural rotation and scaling tools for editing spherical images. As an application we produce spherical Droste images. We obtain other self-similar visual effects using rational functions, elliptic functions, and Schwarz-Christoffel maps.

Cite

@article{arxiv.1605.01396,
  title  = {Squares that Look Round: Transforming Spherical Images},
  author = {Saul Schleimer and Henry Segerman},
  journal= {arXiv preprint arXiv:1605.01396},
  year   = {2016}
}

Comments

10 pages, 9 figures with many subfigures

R2 v1 2026-06-22T13:53:28.072Z