Squares that Look Round: Transforming Spherical Images
Saul Schleimer, Henry Segerman
TL;DR
This paper introduces M"obius transformations for editing spherical images, enabling novel visual effects like spherical Droste images and self-similar patterns through advanced mathematical functions.
Contribution
It presents a new application of M"obius transformations and related complex functions for creative spherical image editing and visual effect generation.
Findings
Successful creation of spherical Droste images
Demonstration of self-similar effects using complex functions
Extension of image editing techniques to spherical domains
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.
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Taxonomy
TopicsHistorical Geography and Cartography · Mathematical Dynamics and Fractals · Mathematics, Computing, and Information Processing