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[AS+92]  Geometric and Group-Theoretic Methods for Computer Graphic Studies of Islamic Symmetric Patterns

Abas:1992:GGM (Article)
Author(s)Abas S.J. and Salman A.S.
Title« Geometric and Group-Theoretic Methods for Computer Graphic Studies of Islamic Symmetric Patterns »
JournalComputer Graphics Forum
Volume11
Number1
Page(s)43--53
Year1992
URLhttp://www.eg.org/EG/CGF/Volume11/Issue1/v11i1pp43-53_abstract.html

Abstract
Over the last several years the authors have used computer graphics to generate, study and analyze more than 300 Islamic geometrical repeat patterns. These patterns offer a rich source for exploitation by artists and are also of interest to mathematicians, crystallographers, architects, archaeologists and others. They can serve as elegant test beds for research into hierarchical programming and texture mapping. The paper discusses the evolution of classical geometric methods for Islamic patterns and goes on to develop algorithms based on group theory for efficient generation of all crystallographic repeat patterns using modern computer graphics.

BibTeX code
@article{Abas:1992:GGM,
  optpostscript = {},
  number = {1},
  month = jan,
  author = {Abas, Syed Jan and Salman, Amer Shaker},
  optkey = {},
  optannote = {},
  url = {http://www.eg.org/EG/CGF/Volume11/Issue1/v11i1pp43-53_abstract.html},
  localfile = {papers/Abas.1992.GGM.pdf},
  optkeywords = {},
  doi = {http://dx.doi.org/10.1111/1467-8659.1110043},
  optciteseer = {},
  journal = j-CGF,
  volume = {11},
  optwww = {},
  title = {{G}eometric and {G}roup-{T}heoretic {M}ethods for {C}omputer
           {G}raphic {S}tudies of {I}slamic {S}ymmetric {P}atterns},
  abstract = {Over the last several years the authors have used computer
              graphics to generate, study and analyze more than 300 Islamic
              geometrical repeat patterns. These patterns offer a rich source
              for exploitation by artists and are also of interest to
              mathematicians, crystallographers, architects, archaeologists and
              others. They can serve as elegant test beds for research into
              hierarchical programming and texture mapping. The paper discusses
              the evolution of classical geometric methods for Islamic patterns
              and goes on to develop algorithms based on group theory for
              efficient generation of all crystallographic repeat patterns using
              modern computer graphics.},
  pages = {43--53},
  year = {1992},
}

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