http://de.evo-art.org/index.php?action=history&feed=atom&title=Mathematical_Tools_for_Computer-Generated_Ornamental_PatternsMathematical Tools for Computer-Generated Ornamental Patterns - Versionsgeschichte2026-05-27T16:10:21ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=Mathematical_Tools_for_Computer-Generated_Ornamental_Patterns&diff=1974&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Victor Ostromoukhov. Mathematical Tools for Computer-Generated Ornamental Patterns, In Electronic Publishing, Artistic Imaging and Digital Ty…“2014-12-03T16:46:30Z<p>Die Seite wurde neu angelegt: „ == Reference == Victor Ostromoukhov. Mathematical Tools for Computer-Generated Ornamental Patterns, In Electronic Publishing, Artistic Imaging and Digital Ty…“</p>
<p><b>Neue Seite</b></p><div><br />
<br />
== Reference ==<br />
Victor Ostromoukhov. Mathematical Tools for Computer-Generated Ornamental Patterns, In Electronic Publishing, Artistic Imaging and Digital Typography, Lecture Notes in Computer Science 1375, Springer Verlag, pp. 193-223, 1998 <br />
<br />
== DOI ==<br />
<br />
== Abstract ==<br />
This article presents mathematical tools for computer-generated<br />
ornamental patterns, with a particular attention payed to Islamic patterns. The<br />
article shows how, starting from a photo or a sketch of an ornamental figure, the<br />
designer analyzes its structure and produces the analytical representation of the<br />
pattern. This analytical representation in turn is used to produce a drawing which<br />
is integrated into a computer-generated virtual scene. The mathematical tools for<br />
analysis of ornamental patterns consist of a subset of tools usually used in the<br />
mathematical theory of tilings such as planar symmetry groups and Cayley<br />
diagrams. A simple and intuitive step-by-step guide is provided.<br />
<br />
== Extended Abstract ==<br />
<br />
== Bibtex == <br />
<br />
== Used References ==<br />
1. [Abas&Salman 1995] S.J. Abas & A.S. Salman, Symmetries of Islamic Geometrical Patterns,<br />
World Scientific, 1995<br />
<br />
2. [Armstrong 1988] M.A. Armstrong, Groups and Symmetry, Springer Verlag, 1988.<br />
<br />
3. [Bourgoin 1879] J. Bourgoin, Elements de l'art arabe, Fermin-Didot, Paris, 1879. Reprint<br />
available: Arabic Geometrical Pattern and Design, Dover, 1974.<br />
<br />
4. [Budden 1972] F.J. Budden, The Fascination of Groups, Cambridge University Press, 1972.<br />
<br />
5. [Emmer 1993] M. Emmer (ed.), The Visual mind: art and mathematics, MIT Press, 1993.<br />
<br />
6. [Farmer 1996] D.W. Farmer, Groups and symmetry: a guide to discovering mathematics,<br />
Providence, AMS, 1996.<br />
<br />
7. [Grossman&Magnus 1964] I. Grossman & W. Magnus, Groups and their Graphs, The Math-<br />
ematical Association of America, 1964.<br />
<br />
8. [Grunbaum 1984] B. Grünbaum, The Emperor's New Clothes: Full Regalia, G string, or<br />
Nothing, The Mathematical Intelligencer, Vol. 6, No. 4, pp. 47-53, 1984.<br />
<br />
9. [Grunbaum&Shephard 1987] B. Grünbaum, G. C. Shephard, Tilings and Patterns, W. H.<br />
Freeman and company, New York, 1987.<br />
<br />
10. [Grunbaum&Shephard 1993] B. Grünbaum, G. C. Shephard, Interlaced Patterns in Islamic<br />
and Moorish Art, in [Emmer 1993], pp. 147-155.<br />
<br />
11. [Hahn 1995] T. Hahn (ed.), International Tables for Crystallography, Fourth Edition, Vol. A,<br />
Reidl Publishing Co., 1995.<br />
<br />
12. [Hargittai 1986] I. Hargittai (ed.), Symmetry, Pergamon Press, 1986.<br />
<br />
13. [Hargittai 1989] I. Hargittai (ed.), Symmetry 2, Pergamon Press, 1989.<br />
<br />
14. [Henry&Lonsdale 1952] N.F.M. Henry & K. Lonsdale (eds.), International Tables for X-Ray<br />
Crystallography, Vol. 1, Kynock Press, 1952.<br />
<br />
15. [Shubnikov&Koptsik 1974] A. V. Shubnikov, V. A Koptsik, Symmetry in science and art, Ple-<br />
num Press, New York, 1974.<br />
<br />
16. [Schattschneider 1978] D. Schattschneider, The Plane Symmetry Groups: Their Recognition<br />
and Notation, Amer. Math. Monthly, Vol. 85, pp.439 - 450, 1978.<br />
<br />
17. [Washburn &Crowe 1988] D.K. Washburn & D.W. Crowe, Symmetries of culture: theory and<br />
practice of plane pattern, Donald W. Crow, Seattle: University of Washington Press, 1988.<br />
<br />
18. [Weyl 1952] H. Weyl, Symmetry, Princeton University Press, 1952.<br />
<br />
<br />
== Links ==<br />
=== Full Text === <br />
http://liris.cnrs.fr/victor.ostromoukhov/publications/pdf/RIDT98_Symmetry.pdf<br />
<br />
[[intern file]]<br />
<br />
=== Sonstige Links ===</div>Gbachelier