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dc.contributor.authorTang, Chengcheng
dc.contributor.authorSun, Xiang
dc.contributor.authorGomes, Maria Alexandra
dc.contributor.authorWallner, Johannes
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2015-05-28T13:59:16Z
dc.date.available2015-05-28T13:59:16Z
dc.date.issued2014-07-27
dc.identifier.citationForm-finding with polyhedral meshes made simple 2014, 33 (4):1 ACM Transactions on Graphics
dc.identifier.issn07300301
dc.identifier.doi10.1145/2601097.2601213
dc.identifier.urihttp://hdl.handle.net/10754/555978
dc.description.abstractWe solve the form-finding problem for polyhedral meshes in a way which combines form, function and fabrication; taking care of user-specified constraints like boundary interpolation, planarity of faces, statics, panel size and shape, enclosed volume, and last, but not least, cost. Our main application is the interactive modeling of meshes for architectural and industrial design. Our approach can be described as guided exploration of the constraint space whose algebraic structure is simplified by introducing auxiliary variables and ensuring that constraints are at most quadratic. Computationally, we perform a projection onto the constraint space which is biased towards low values of an energy which expresses desirable "soft" properties like fairness. We have created a tool which elegantly handles difficult tasks, such as taking boundary-alignment of polyhedral meshes into account, planarization, fairing under planarity side conditions, handling hybrid meshes, and extending the treatment of static equilibrium to shapes which possess overhanging parts.
dc.publisherAssociation for Computing Machinery (ACM)
dc.relation.urlhttp://dl.acm.org/citation.cfm?doid=2601097.2601213
dc.rights© ACM, 2014. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM Transactions on Graphics, Volume 33 Issue 4, July 2014. http://doi.acm.org/10.1145/2601097.2601213
dc.titleForm-finding with polyhedral meshes made simple
dc.typeConference Paper
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center (VCC)
dc.conference.date2014-08-10 to 2014-08-14
dc.conference.name41st International Conference and Exhibition on Computer Graphics and Interactive Techniques, ACM SIGGRAPH 2014
dc.conference.locationVancouver, BC, CAN
dc.eprint.versionPost-print
dc.contributor.institutionTU Graz
dc.contributor.institutionTU Wien
kaust.personTang, Chengcheng
kaust.personSun, Xiang
kaust.personGomes, Maria Alexandra
refterms.dateFOA2018-06-14T09:25:31Z


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