Beautification of Islamic Patterns via Constraint Satisfaction
Inhaltsverzeichnis
Reference
Yongquan Lu and Erik D. Demaine: Beautification of Islamic Patterns via Constraint Satisfaction. In: Bridges 2016, Pages 371–374.
DOI
Abstract
Islamic star patterns are traditionally drawn with compass-and-straightedge constructions, which yield geometrically precise results, but are often unintuitive to work out. We present a more declarative paradigm for construction, where users can draw patterns by hand and then apply constraints to improve and beautify the design. This system applies concepts from CAD systems like geometric constraint satisfaction and numerical optimization in a highly symmetric and aesthetic context. We exhibit some representative results generated by our system.
Extended Abstract
Bibtex
@inproceedings{bridges2016:371,
author = {Yongquan Lu and Erik D. Demaine},
title = {Beautification of Islamic Patterns via Constraint Satisfaction},
pages = {371--374},
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=Beautification_of_Islamic_Patterns_via_Constraint_Satisfaction },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-371.html}}
}
Used References
[1] Eric Broug. Islamic Geometric Design. Thames & Hudson, 2013.
[2] Craig S Kaplan. Computer generated islamic star patterns. In Proceedings of Bridges 2000, pages 105–112, 2000.
[3] Yongquan Lu and Erik D. Demaine. A system for generating paper sliceform artwork. Symmetry: Culture and Science, 26(2):203–215, 2015.
[4] M. J. D. Powell. An efficient method for finding the minimum of a function of several variables without calculating derivatives. The Computer Journal, 7(2):155–162, January 1964.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-371.pdf
