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Auto-Parameterized Shape Grammar for Constructing Islamic Geometric Motif-Based Structures
Sayed, Zahra Ugail, Hassan Palmer, Ian J. Purdy, J. Reeve, Carlton
Sayed, Zahra
Ugail, Hassan
Palmer, Ian J.
Purdy, J.
Reeve, Carlton
Publication Date
2016-07-21
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(c) 2016 Springer-Verlag Heidelberg. Full-text reproduced in accordance with the publisher's self-archiving policy.
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Accepted for publication
2016
2016-06-29
2016-06-29
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Abstract
The complex formation of Islamic Geometric Patterns (IGP)
is one of the distinctive features in Islamic art and architecture. Many
have attempted to reproduce these patterns in digital form, using various
pattern generation techniques, in 2D. Shape grammars are an e ective
pattern generation method, providing good aesthetic results. In this pa-
per we describe a novel approach in generating 3D IGP using the shape
grammar method. The particular emphasis here is to generate the motifs
(repeated units with the pattern) in 3D using parameterization. These
can then be manipulated within the 3D space to construct architec-
tural structures. In this work we have developed two distinctive Shape
Grammars in 3D namely Parameterized Shape Grammar (PSG) and
Auto-Parameterized Shape Grammar (APSG). Here the PSG generates
the motifs and the APSG enables construction of the structures using
the generated motifs. Both grammars are practically implemented as a
3D modelling tool within Autodesk Maya. The parameterization within
each grammar is the key to generate both Islamic geometric motifs and
Islamic geometric motif-based structures.
Version
Accepted Manuscript
Citation
Sayed Z, Ugail H, Palmer IJ, Purdy J and Reeve C (2016) Auto-Parameterized Shape Grammar for Constructing Islamic Geometric Motif-Based Structures. In: Transactions on Computational Science XXVIII. Special Issue on Cyberworlds and Cybersecurity by Gavrilova ML, Tan CJK and Sourin A (Eds.): 146-162.
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Article