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    Discrete Triangulated Meshes for Architectural Design and Fabrication

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    SINGH-DISSERTATION.pdf (21.63Mb)
    Date
    2012-07-16
    Author
    Singh, Mayank
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    Abstract
    Recent innovations in design and construction of architectural buildings has led us to revisit the metrics for discretizing smooth freeform shapes in context with both aesthetics and fabrication. Inspired by the examples of the British Museum Court Roof in Britain and the Beijing Aquatic Centre in China, we propose solutions for generating aesthetic as well as economically viable solutions for tessellating smooth, freeform shapes. For the purpose of generating an aesthetic tessellation, we propose a simple linearized strain based metric to minimize dissimilarity amongst triangles in a local neighborhood. We do so by defining an error function that measures deformation required to map a pair of triangles onto each other. We minimize the error using a global non-linear optimization based framework. We also reduce the complexity associated with prefabricating triangulated panels for a given shape. To do so, we propose a global optimization based framework to approximate any given shape using significantly reduced numbers of unique triangles. By doing so, we leverage the economies of scale as well as simplify the process of physical placement of panels by manual labor.
    URI
    https://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9218
    Subject
    Polygonal Mesh
    Architectural Design
    Discrete Geometry
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    • Electronic Theses, Dissertations, and Records of Study (2002– )
    Citation
    Singh, Mayank (2011). Discrete Triangulated Meshes for Architectural Design and Fabrication. Doctoral dissertation, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /ETD -TAMU -2011 -05 -9218.

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