Squares that Look Round: Transforming Spherical Images

Year: 2016 Authors: Saul Schleimer; Henry Segerman

Core claim

Möbius transformations provide conformal, sphere-preserving operations that make spherical image rotation, scaling, and self-similar editing practical.

Topics

spherical images, Möbius transformations, Droste effect, self-similar visual effects

Domains

complex analysis, Riemann sphere, conformal geometry, Schwarz-Christoffel maps, image editing, computational aesthetics, visual effects, panoramic photography

Methods

stereographic projection, inverse mapping, rational functions, elliptic functions

Media

equirectangular images, spherical photographs, spherical video, Python code

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.