Squares that Look Round: Transforming Spherical Images

Henry Segerman, Saul Schleimer

Publication date: 4 May 2016

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.

Has companion code repository: https://github.com/rwoodley/SphericalPhotoBrowser

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Elliptic integrals as hypergeometric functions (33C75) Mathematics and visual arts (00A66)

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