A New Algorithm for Rendering Kissing Schottky Groups
Inhaltsverzeichnis
Reference
Kento Nakamura and Kazushi Ahara: A New Algorithm for Rendering Kissing Schottky Groups. In: Bridges 2016, Pages 367–370.
DOI
Abstract
In this paper, we present an algorithm for drawing images of Schottky groups. This algorithm is called an Iterated Inversion System (IIS). It is easy to parallelize and renders images fast. It can be used to render 2-dimensional kissing Schottky groups and also 3-dimensional kissing Schottky groups.
Extended Abstract
Bibtex
@inproceedings{bridges2016:367,
author = {Kento Nakamura and Kazushi Ahara},
title = {A New Algorithm for Rendering Kissing Schottky Groups},
pages = {367--370},
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=A_New_Algorithm_for_Rendering_Kissing_Schottky_Groups },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-367.html}}
}
Used References
[1] David Mumford, Caroline Series, David Wright, Indra’s Pearls (2002), Cambridge University Press.
[2] Kazushi Ahara, Yoshiaki Araki, Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals (2003), http://ieeexplore.ieee.org/xpl/freeabs_all.jsp? tp=&arnumber=1214471&isnumber=27295, IEEE Computer Graphics International
[3] Knighty, Another 3D Kleinian, http://www.fractalforums.com/ifs-iterated-function-systems/ another-3d-kleinian/ (as of Jan. 10 2016)
[4] Mikael H Christensen, Distance Estimated 3D Fractals (Part I), http://blog.hvidtfeldts.net/ index.php/2011/06/distance-estimated-3d-fractals-part-i/ (as of Jan. 10 2016)
[5] Kento Nakamura as soma arc, Indra’s Bubbles https://www.shadertoy.com/view/XsGGWG (as of March 4 2016)
[6] Kento Nakamura as soma-arc, Iterated Inversion System in GitHub, https://github.com/soma-arc/IteratedInversionSystem (as of March 4 2016)
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-367.pdf
