@incollection{Ostromoukhov:1998:MTC,
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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