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    Architectural geometry

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    Type
    Article
    Authors
    Pottmann, Helmut cc
    Eigensatz, Michael
    Vaxman, Amir
    Wallner, Johannes
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Visual Computing Center (VCC)
    Date
    2014-11-26
    Online Publication Date
    2014-11-26
    Print Publication Date
    2015-04
    Permanent link to this record
    http://hdl.handle.net/10754/555976
    
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    Abstract
    Around 2005 it became apparent in the geometry processing community that freeform architecture contains many problems of a geometric nature to be solved, and many opportunities for optimization which however require geometric understanding. This area of research, which has been called architectural geometry, meanwhile contains a great wealth of individual contributions which are relevant in various fields. For mathematicians, the relation to discrete differential geometry is significant, in particular the integrable system viewpoint. Besides, new application contexts have become available for quite some old-established concepts. Regarding graphics and geometry processing, architectural geometry yields interesting new questions but also new objects, e.g. replacing meshes by other combinatorial arrangements. Numerical optimization plays a major role but in itself would be powerless without geometric understanding. Summing up, architectural geometry has become a rewarding field of study. We here survey the main directions which have been pursued, we show real projects where geometric considerations have played a role, and we outline open problems which we think are significant for the future development of both theory and practice of architectural geometry.
    Citation
    Architectural geometry 2014, 47:145 Computers & Graphics
    Publisher
    Elsevier BV
    Journal
    Computers & Graphics
    DOI
    10.1016/j.cag.2014.11.002
    Additional Links
    http://linkinghub.elsevier.com/retrieve/pii/S009784931400140X
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cag.2014.11.002
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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