Constrained Modelling of 3‐Valent Meshes Using a Hyperbolic Deformation Metric

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dc.contributor.authorRichter, Ronalden_US
dc.contributor.authorKyprianidis, Jan Ericen_US
dc.contributor.authorSpringborn, Borisen_US
dc.contributor.authorAlexa, Marcen_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2018-01-10T07:36:12Z
dc.date.available2018-01-10T07:36:12Z
dc.date.issued2017
dc.description.abstractPolygon meshes with 3‐valent vertices often occur as the frame of free‐form surfaces in architecture, in which rigid beams are connected in rigid joints. For modelling such meshes, it is desirable to measure the deformation of the joints' shapes. We show that it is natural to represent joint shapes as points in hyperbolic 3‐space. This endows the space of joint shapes with a geometric structure that facilitates computation. We use this structure to optimize meshes towards different constraints, and we believe that it will be useful for other applications as well.Polygon meshes with 3‐valent vertices often occur as the frame of free‐form surfaces in architecture, in which rigid beams are connected in rigid joints.en_US
dc.description.number6
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.12805
dc.identifier.issn1467-8659
dc.identifier.pages62-75
dc.identifier.urihttps://doi.org/10.1111/cgf.12805
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf12805
dc.publisher© 2017 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectdigital geometry processing
dc.subjectpolygonal modelling
dc.subjectI.3.5 [Computer Graphics]: Computational Geometry and Object Modelling–Curve
dc.subjectSurface
dc.subjectSolid and Object Representations
dc.titleConstrained Modelling of 3‐Valent Meshes Using a Hyperbolic Deformation Metricen_US
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