2016
DOI: 10.1007/s00004-015-0287-z
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A Framework for 3D Pattern Analysis and Reconstruction of Persian Architectural Elements

Abstract: Persian architecture is characterised by shapes and patterns, which can be analysed through mathematical models. Beside 2D patterns, many of the traditional geometric ornaments are realised on 3D surfaces such as domes or vaults. Literature mainly addresses the 3D problem by means of a 2D scheme, which is an important and synthetic representation but is not exhaustive and lacks of clarity. This paper proposes a framework based on the integration of 2D drawings, as in the traditional approach, and a photogramme… Show more

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Cited by 20 publications
(15 citation statements)
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“…Traditional and digital surveying; CAD modeling (e.g., direct parametric modeling or reverse modeling based on digital surveying); mathematical computation (e.g., using algorithms for calculation of theoretical reconstruction); and a combination of these are the main techniques and tools used to achieve these goals using a commercial 3D CAD program. [31] The research describes a procedural way of decoding a 3D pattern (from its 3D actual geometry to its analysis) while also clarifying the rules that govern the construction of 3D patterns (from the 2D drawing to the 3D geometry). The research utilizes photogrammetric methodology for reconstruction and CAD-based modeling.…”
Section: The Analysis Of Muqarnas Using a Digital Algorithmmentioning
confidence: 99%
“…Traditional and digital surveying; CAD modeling (e.g., direct parametric modeling or reverse modeling based on digital surveying); mathematical computation (e.g., using algorithms for calculation of theoretical reconstruction); and a combination of these are the main techniques and tools used to achieve these goals using a commercial 3D CAD program. [31] The research describes a procedural way of decoding a 3D pattern (from its 3D actual geometry to its analysis) while also clarifying the rules that govern the construction of 3D patterns (from the 2D drawing to the 3D geometry). The research utilizes photogrammetric methodology for reconstruction and CAD-based modeling.…”
Section: The Analysis Of Muqarnas Using a Digital Algorithmmentioning
confidence: 99%
“…polygons such as triangle, pentagon and hexagon, octagon, and polygonal stars. Also, in this classification, each Muqarnas niche consists of 5 main components (14).…”
Section: Curvy Muqarnas: This Kind Of Muqarnas Looks Like the Simplementioning
confidence: 99%
“…Al-Kashi divided the Muqarnas, based on the 2D pattern plan and components arrangement, into four categories. This classification has been used for several decades by traditional architects (Gherardini and Leali, 2016).…”
Section: Muqarnas Geometrymentioning
confidence: 99%
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“…The examples in Necipoglu's [14] and Uluengin's [13] books show stars with unequal edge lengths in muqarnas projection plans. Although the researchers such as Ozdural [15], Dold-Samplonius and Harmsen [16], Elkhateeb [17], Hamekasi et al [18], Castera [19], Kharazmi and Sarhangi [20], Gherardini and Leali [21], Kashef [22], Yaghan [23] and Takahashi [24] examined the structure of the muqarnas from various aspects, none of them focussed on the geometric reason for the unequal edge lengths of the stars in the muqarnas plans. Agirbas and Yildiz's previous study [25] is the first study related to the geometrical reason for unequal edge lengths of the stars in the muqarnas plans.…”
Section: Introductionmentioning
confidence: 99%