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.
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Ostromoukhov, V. (1998). Mathematical tools for computer-generated ornamental patterns. In: Hersch, R.D., André, J., Brown, H. (eds) Electronic Publishing, Artistic Imaging, and Digital Typography. RIDT 1998. Lecture Notes in Computer Science, vol 1375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0053272
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DOI: https://doi.org/10.1007/BFb0053272
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