Interactive Design of Muqarnas

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Muqarnas is an iconic element of Islamic architecture. It exhibits fascinating beauty and captures the attention of viewers via its complicated form and mesmerizing patterns. Generating a 3D model of a muqarnas and designing the patterns to decorate it have applications in architecture, virtual tourism and other areas. Modeling virtual muqarnas can be very challenging, requiring a lot of time and eff ort even from expert modellers. Our goal is to provide an analysis of muqarnas and its decorating patterns as well as a set of methods and tools which can facilitate the modeling of muqarnas. In this thesis, we present a new approach to model muqarnas. Our approach is to consider muqarnas as a transition between layers of di fferent form. We also take advantage of a special type of ceiling plan, called two dimensional pattern plans, as a guide to overcome the complexity of the muqarnas. Using these methods we provide an interactive framework to design muqarnas. Muqarnas structures are frequently decorated with diff erent patterns. Among these patterns, Persian oral patterns are very interesting but poorly studied. We provide a novel method to generate Persian oral patterns to decorate our models. The key idea in this method is to decompose the patterns into the ornaments and the composition and secondly, separating the geometry from the combinatorial properties of the composition. Our implementation of the presented methods is a software tool that can generate complicated muqarnas models. Several examples of virtual models, including models of real buildings as well as new designs made using this software, are shown.
Computer Science
Hamekasi, N. (2013). Interactive Design of Muqarnas (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from doi:10.11575/PRISM/26603