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Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Visual Computing Center (VCC)
Date
2014-11-26Online Publication Date
2014-11-26Print Publication Date
2015-04Permanent link to this record
http://hdl.handle.net/10754/555976
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Show full item recordAbstract
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 & GraphicsPublisher
Elsevier BVJournal
Computers & GraphicsAdditional Links
http://linkinghub.elsevier.com/retrieve/pii/S009784931400140Xae974a485f413a2113503eed53cd6c53
10.1016/j.cag.2014.11.002