Koiter's Thin Shells on Catmull-Clark Limit Surfaces

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dc.contributor.authorWawrzinek, Annaen_US
dc.contributor.authorHildebrandt, Klausen_US
dc.contributor.authorPolthier, Konraden_US
dc.contributor.editorPeter Eisert and Joachim Hornegger and Konrad Polthieren_US
dc.date.accessioned2013-10-31T11:48:39Z
dc.date.available2013-10-31T11:48:39Z
dc.date.issued2011en_US
dc.description.abstractWe present a discretization of Koiter's model of elastic thin shells based on a finite element that employs limit surfaces of Catmull Clark's subdivision scheme. The discretization can directly be applied to control grids of Catmull Clark subdivision surfaces, and, therefore, integrates modeling of Catmull Clark subdivision surfaces with analysis and optimization of elastic thin shells. To test the discretization, we apply it to standard examples for physical simulation of thin shells and compute free vibration modes of thin shells. Furthermore, we use the discrete shell model to set up a deformation-based modeling system for Catmull Clark subdivision surfaces. This system integrates modeling of subdivision surfaces with deformation-based modeling and allows to switch back and forth between the two different approaches to modeling.en_US
dc.description.seriesinformationVision, Modeling, and Visualization (2011)en_US
dc.identifier.isbn978-3-905673-85-2en_US
dc.identifier.urihttps://doi.org/10.2312/PE/VMV/VMV11/113-120en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Physically based modelingen_US
dc.titleKoiter's Thin Shells on Catmull-Clark Limit Surfacesen_US
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