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Squares that Look Round: Transforming Spherical Images

2016/05/04 by Saul Schleimer, Schleimer, Saul, Henry Segerman +1
Computer Science · Mathematics · Social Sciences · #00A66 #30F10 #33C75 #FOS: Computer and information sciences #FOS: Mathematics #Graphics (cs.GR) #Historical Geography and Cartography #History and Overview (math.HO) #I.3.3 #Mathematical Dynamics and Fractals #Mathematics, Computing, and Information Processing

paper · pdf · doi:10.48550/arxiv.1605.01396

openalex publication_date 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose Möbius 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.

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