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

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

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.

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). https://link.springer.com/book/10.1007/978-3-662-53090-0: Springer Verlag. https://doi.org/10.1007/978-3-662-53090-0_8

• Acceptance Date: Apr 18, 2018
• Online Publication Date: Jul 21, 2016
• Publication Date: 2016
• Deposit Date: Jan 17, 2019
• Electronic ISSN: 1611-3349
• Publisher: Springer Verlag
• 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
• DOI: https://doi.org/10.1007/978-3-662-53090-0_8
• Public URL: https://hull-repository.worktribe.com/output/786540
• Publisher URL: https://link.springer.com/chapter/10.1007%2F978-3-662-53090-0_8