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Auto-parameterized shape grammar for constructing Islamic geometric motif-based structures

Sayed, Zahra; Ugail, Hassan; Palmer, Ian; Purdy, Jon; Reeve, Carlton

Authors

Zahra Sayed

Hassan Ugail

Ian Palmer

Carlton Reeve



Contributors

M. Gavrilova
Editor

C. Tan
Editor

A. Sourin
Editor

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 effective pattern generation method, providing good aesthetic results. In this paper 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 architectural 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.

Publication Date 2016
Electronic ISSN 1611-3349
Publisher Springer Publishing Company
Pages 146-162
Series Title Transactions on Computational Science
Series Number XXVIII
Series ISSN 1611-3349
Edition Special Issue on Cyberworlds and Cybersecurity
Book Title Lecture Notes in Computer Science; Transactions on Computational Science XXVIII
Chapter Number 8
ISBN 9783662530894; 9783662530900
APA6 Citation Sayed, Z., Ugail, H., Palmer, I., Purdy, J., & Reeve, C. (2016). Auto-parameterized shape grammar for constructing Islamic geometric motif-based structures. In A. Sourin, M. Gavrilova, & C. Tan (Eds.), Lecture Notes in Computer Science; Transactions on Computational Science XXVIII, 146-162. (Special Issue on Cyberworlds and Cybersecurity). Springer Publishing Company. doi:10.1007/978-3-662-53090-0_8
DOI https://doi.org/10.1007/978-3-662-53090-0_8
Publisher URL https://link.springer.com/chapter/10.1007%2F978-3-662-53090-0_8
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