Squares that Look Round: Transforming Spherical Images - Versionsgeschichte

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Gubachelier: Die Seite wurde neu angelegt: „ == Reference == Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24. == DOI =…“

2016-12-26T18:14:27Z

Die Seite wurde neu angelegt: „ == Reference == Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24. == DOI =…“

Neue Seite

== 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 ==
[1] Oscar S. Adams. Elliptic functions applied to conformal world maps. Department of Commerce
U.S. Coast and Geodetic Survey. Govt. Print. Off., 1925. http://docs.lib.noaa.gov/rescue/cgs specpubs/
QB275U35no1121925.pdf.

[2] Lars V. Ahlfors. Complex analysis: An introduction of the theory of analytic functions of one complex
variable. Second edition. McGraw-Hill Book Co., New York-Toronto-London, 1966.

[3] Bart de Smit and Hendrik W. Lenstra Jr. The mathematical structure of Escher’s Print Gallery. Journal
of the American Mathematical Society, 50(4):446–451, 2003. http://www.ams.org/notices/200304/
fea-escher.pdf.

[4] Daniel M. German, Pablo D’Angelo, Michael Gross, and Bruno Postle. New methods to project
panoramas for practical and aesthetic purposes. In Computational Aesthetics’07 Proceedings of the
Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging,
pages 15–22, 2007. http://turingmachine.org/�dmg/papers/dmg2007 cae panos.pdf.

[5] Jane M. McDougall, Lisbeth E. Schaubroeck, and James S. Rolf. Mappings to polygonal domains.
In Explorations in complex analysis, Classr. Res. Mater. Ser., pages 271–315. Math. Assoc. America,
Washington, DC, 2012. http://www.jimrolf.com/explorationsInComplexVariables/bookChapters/Ch5.
pdf.

[6] Henry McKean and Victor Moll. Elliptic curves. Cambridge University Press, Cambridge, 1997.
Function theory, geometry, arithmetic.

[7] John Milnor. Dynamics in One Complex Variable. Princeton University Press, 3rd edition, 2006.

[8] David Mumford, Caroline Series, and David Wright. Indra’s pearls. Cambridge University Press, New
York, 2002. The vision of Felix Klein.

[9] Charles S. Peirce. A quincuncial projection of the sphere. Amer. J. Math., 2(4):394–396, 1879.
https://www.jstor.org/stable/pdf/2369491.pdf.

[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

[[intern file]]

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

@@ Zeile 28: / Zeile 28: @@
 == Used References ==
 [1] Oscar S. Adams. Elliptic functions applied to conformal world maps. Department of Commerce
-U.S. Coast and Geodetic Survey. Govt. Print. Off., 1925. http://docs.lib.noaa.gov/rescue/cgs/spec/pubs/QB275U35no1121925.pdf.
+U.S. Coast and Geodetic Survey. Govt. Print. Off., 1925. http://docs.lib.noaa.gov/rescue/cgs_specpubs/QB275U35no1121925.pdf
 [2] Lars V. Ahlfors. Complex analysis: An introduction of the theory of analytic functions of one complex
@@ Zeile 39: / Zeile 39: @@
 panoramas for practical and aesthetic purposes. In Computational Aesthetics’07 Proceedings of the
 Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging,
-pages 15–22, 2007. http://turingmachine.org/dmg/papers/dmg2007caepanos.pdf.
+pages 15–22, 2007. http://turingmachine.org/~dmg/papers/dmg2007_cae_panos.pdf
 [5] Jane M. McDougall, Lisbeth E. Schaubroeck, and James S. Rolf. Mappings to polygonal domains.

@@ Zeile 28: / Zeile 28: @@
 == Used References ==
 [1] Oscar S. Adams. Elliptic functions applied to conformal world maps. Department of Commerce
-U.S. Coast and Geodetic Survey. Govt. Print. Off., 1925. http://docs.lib.noaa.gov/rescue/cgs specpubs/
+U.S. Coast and Geodetic Survey. Govt. Print. Off., 1925. http://docs.lib.noaa.gov/rescue/cgs specpubs/QB275U35no1121925.pdf.
 [2] Lars V. Ahlfors. Complex analysis: An introduction of the theory of analytic functions of one complex
@@ Zeile 35: / Zeile 34: @@
 [3] Bart de Smit and Hendrik W. Lenstra Jr. The mathematical structure of Escher’s Print Gallery. Journal
-of the American Mathematical Society, 50(4):446–451, 2003. http://www.ams.org/notices/200304/
+of the American Mathematical Society, 50(4):446–451, 2003. http://www.ams.org/notices/200304/fea-escher.pdf.
 [4] Daniel M. German, Pablo D’Angelo, Michael Gross, and Bruno Postle. New methods to project
 panoramas for practical and aesthetic purposes. In Computational Aesthetics’07 Proceedings of the
 Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging,
-pages 15–22, 2007. http://turingmachine.org/�dmg/papers/dmg2007 cae panos.pdf.
+pages 15–22, 2007. http://turingmachine.org/�dmg/papers/dmg2007caepanos.pdf.
 [5] Jane M. McDougall, Lisbeth E. Schaubroeck, and James S. Rolf. Mappings to polygonal domains.
 In Explorations in complex analysis, Classr. Res. Mater. Ser., pages 271–315. Math. Assoc. America,
-Washington, DC, 2012. http://www.jimrolf.com/explorationsInComplexVariables/bookChapters/Ch5.
+Washington, DC, 2012. http://www.jimrolf.com/explorationsInComplexVariables/bookChapters/Ch5.pdf.
 [6] Henry McKean and Victor Moll. Elliptic curves. Cambridge University Press, Cambridge, 1997.

@@ Zeile 22: / Zeile 22: @@
    publisher   = {Tessellations Publishing},
    address     = {Phoenix, Arizona},
-   url         = {http://de.evo-art.org/index.php?title=Squares_that_Look_Round:_Transforming_Spherical_Images},
+   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}}
+  }

@@ Zeile 11: / Zeile 11: @@
 == Bibtex ==
-@inproceedings{bridges2016:15,
+ @inproceedings{bridges2016:15,
    author      = {Saul Schleimer and Henry Segerman},
    title       = {Squares that Look Round: Transforming Spherical Images},
@@ Zeile 24: / Zeile 24: @@
    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 ==