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[Ost98]  Mathematical Tools for Computer-Generated Ornamental Patterns

Ostromoukhov:1998:MTC (In a collection)
Author(s)Ostromoukhov V.
Title« Mathematical Tools for Computer-Generated Ornamental Patterns »
InElectronic Publishing, Artistic Imaging and Digital Typography
SeriesLecture Notes in Computer Science
Editor(s)Roger D. Hersch and Jacques André and Heather Brown
Volume1375
Page(s)193--223
Year1998
PublisherSpringer-Verlag
AddressBerlin · Heidelberg · New York
URLhttp://www.iro.umontreal.ca/~ostrom/publications/abstracts.html#RIDT98_Symmetry
Editor(s)Roger D. Hersch and Jacques André and Heather Brown

Abstract
This article presents mathematical tools for computer-generated ornamental patterns, with a particular attention payed to Islamic patterns. The article shows how, starting from a photo or a sketch of an ornamental figure, the designer analyzes its structure and produces the analytical representation of the pattern. This analytical representation in turn is used to produce a drawing which is integrated into a computer-generated virtual scene. The mathematical tools for analysis of ornamental patterns consist of a subset of tools usually used in the mathematical theory of tilings such as planar symmetry groups and Cayley diagrams. A simple and intuitive step-by-step guide is provided.

BibTeX code
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  optnote = {},
  author = {Victor Ostromoukhov},
  optkey = {},
  series = LNICS,
  optannote = {},
  opttype = {},
  editor = {Roger D. Hersch and Jacques Andr{\'e} and Heather Brown},
  optedition = {},
  url = {http://www.iro.umontreal.ca/~ostrom/publications/abstracts.html#RIDT98_Symmetry},
  localfile = {papers/Ostromoukhov.1998.MTC.pdf},
  optchapter = {},
  address = SpringerAdr,
  publisher = SpringerPub,
  optmonth = {},
  doi = {http://www.springerlink.com/link.asp?id=vfg6n1t19dmvnd1j},
  volume = {1375},
  optcrossref = {},
  booktitle = {{E}lectronic {P}ublishing, {A}rtistic {I}maging and {D}igital
               {T}ypography},
  optstatus = {url doi abstract},
  optnumber = {},
  abstract = {This article presents mathematical tools for computer-generated
              ornamental patterns, with a particular attention payed to Islamic
              patterns. The article shows how, starting from a photo or a sketch
              of an ornamental figure, the designer analyzes its structure and
              produces the analytical representation of the pattern. This
              analytical representation in turn is used to produce a drawing
              which is integrated into a computer-generated virtual scene. The
              mathematical tools for analysis of ornamental patterns consist of
              a subset of tools usually used in the mathematical theory of
              tilings such as planar symmetry groups and Cayley diagrams. A
              simple and intuitive step-by-step guide is provided.},
  title = {{M}athematical {T}ools for {C}omputer-{G}enerated {O}rnamental
           {P}atterns},
  year = {1998},
  pages = {193--223},
}

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