Squares that Look Round: Transforming Spherical Images

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Reference

Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24.

DOI

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.

Extended Abstract

Bibtex

@inproceedings{bridges2016:15,
 author      = {Saul Schleimer and Henry Segerman},
 title       = {Squares that Look Round: Transforming Spherical Images},
 pages       = {15--24},
 booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
 year        = {2016},
 editor      = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
 isbn        = {978-1-938664-19-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = {http://de.evo-art.org/index.php?title=Squares_that_Look_Round:_Transforming_Spherical_Images },
 note        = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-15.html}}
}

Used References

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[10] S´ebastien P´erez-Duarte and David Swart. The Mercator redemption. In Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, pages 217–224. Tessellations Publishing, 2013. http://archive.bridgesmathart.org/2013/bridges2013-217.html.

Links

Full Text

http://archive.bridgesmathart.org/2016/bridges2016-15.pdf

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Sonstige Links

http://archive.bridgesmathart.org/2016/bridges2016-15.html