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dc.contributor.authorSchiftner, Alexander
dc.contributor.authorHöbinger, Mathias
dc.contributor.authorWallner, Johannes
dc.contributor.authorPottmann, Helmut
dc.date.accessioned2015-08-24T08:32:02Z
dc.date.available2015-08-24T08:32:02Z
dc.date.issued2009-12-01
dc.identifier.issn0730-0301
dc.identifier.doi10.1145/1618452.1618485
dc.identifier.urihttp://hdl.handle.net/10754/575535
dc.description.abstractInspired by freeform designs in architecture which involve circles and spheres, we introduce a new kind of triangle mesh whose faces' incircles form a packing. As it turns out, such meshes have a rich geometry and allow us to cover surfaces with circle patterns, sphere packings, approximate circle packings, hexagonal meshes which carry a torsion-free support structure, hybrid tri-hex meshes, and others. We show how triangle meshes can be optimized so as to have the incircle packing property. We explain their relation to conformal geometry and implications on solvability of optimization. The examples we give confirm that this kind of meshes is a rich source of geometric structures relevant to architectural geometry.
dc.publisherAssociation for Computing Machinery (ACM)
dc.titlePacking circles and spheres on surfaces
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalACM Transactions on Graphics
dc.contributor.institutionTU Wien, Evolute, Vienna, Austria
dc.contributor.institutionGraz Univ Technol, Graz, Austria
kaust.personPottmann, Helmut


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