This work presents a CAD paradigm to produce zillij style of geometrical patterns using ubiquitous polygonal technique. The rendered geometrical patterns are ideally suited to computer controlled manufacturing for building real world artifacts. In order to produce a part of the human cultural heritage, this work is towards the decoration of wooden surface with computer generated zillij style of geometrical patterns. The decoration comprises wood carving with computer controlled laser cutting machine that would previously have only been possible for skilled craftsmen. Further, carved wooden surfaces can be fit in the furniture, window or door to produce a traditional piece of finished and distinguished work.

Download PDF

References

1. Castera J. M., 1999, Decorative Art in Morocco, A. C. R. Edition.
2. Zillij Patterns: http://www.Crayola.com.
3. Abas S. J. and Salman A. S., 1992, Geometric and Group-Theoretic Methods for Computer Graphics Studies of Islamic Symmetric Patterns, Computer Graphics Forum, Vol. 1, No. 1, pp. 43–53.
4. Ostromoukhov V., 1998, Mathematical Tools for Computer-Generated Ornamental Patterns, Artistic Imaging and Digital Typography, Springer-Verlag Landon Ltd, pp. 193–223.
5. Kaplan C. S., 2002, Computer Graphics and Geometric Ornamental Design, Ph.D., University of Washington, Seattle.
6. Aljamali A. M. and Banissi E., 2003, Grid Method Classification of Islamic Geometric Patterns, WSCG ‘2003 proceddings, February 3-7, 2003,
7. Kaplan C. S., Bedi S., Mann S., Israeli G. and Poon G., 2004, A New Paradigm for Woodworkingwith NC Machines, Computer Aided Design and Applications, Nos. 1-4, pp. 217-222.
8. Djibril M., Hadi Y. and Oulad R. H. T., 2006, Fundamental Region Based Indexing and Classification of Islamic Star Pattern Images, Image Analysis and Recognisation, Springer Berlin/Heidelberg, Vol. 4142, pp. 865-876
9. Grunbaum, B., 2006, Grid Method Classification of Islamic Geometric Patterns, AMS, Vol. 53, pp. 670-673.
10. Djibril M., and Oulad R. H. T., 2008, Islamic Geometrical Patterns Indexing and Classification usingDiscrete Symmetry Groups, Journal on Computing and Cultural Heritage, Vol. 1, No. 2, Article 10.
11. Ilkturk U., 2008, An Attempt to Combine Mathematics and Visual Arts, Master Thesis No. 087., University of Göteborg, Göteborg, Sweden.

Back