A spring force formulation for elastically deformable models

buir.contributor.authorGüdükbay, Uğur
dc.citation.epage346en_US
dc.citation.issueNumber3en_US
dc.citation.spage335en_US
dc.citation.volumeNumber21en_US
dc.contributor.authorGüdükbay, Uğuren_US
dc.contributor.authorÖzgüç, B.en_US
dc.contributor.authorTokad, Y.en_US
dc.date.accessioned2016-02-08T10:48:22Z
dc.date.available2016-02-08T10:48:22Zen_US
dc.date.issued1997en_US
dc.departmentDepartment of Computer Engineeringen_US
dc.description.abstractContinuous deformable models are generally represented using a grid of control points. The elastic properties are then modeled using the interactions between these points. The formulations based on elasticity theory express these interactions using stiffness matrices. These matrices store the elastic properties of the models and they should be evolved in time according to changing elastic properties of the models. However, forming the stiffness matrices at any step of an animation is very difficult and sometimes the differential equations that should be solved to produce animation become ill-conditioned. Instead of modeling the elasticities using stiffness matrices, the interactions between model points could be expressed in terms of external spring forces. In this paper, a spring force formulation for animating elastically deformable models is presented. In this formulation, elastic properties of the materials are represented as external spring forces as opposed to forming complicated stiffness matrices. © 1997 Elsevier Science Ltd.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:48:22Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 1997en_US
dc.identifier.doi10.1016/S0097-8493(97)00011-3en_US
dc.identifier.eissn1873-7684
dc.identifier.issn0097-8493
dc.identifier.urihttp://hdl.handle.net/11693/25640en_US
dc.language.isoEnglishen_US
dc.publisherPergamon Pressen_US
dc.relation.isversionofhttps://doi.org/10.1016/S0097-8493(97)00011-3en_US
dc.source.titleComputers and Graphicsen_US
dc.subjectComputer Aided Designen_US
dc.subjectComputer Graphicsen_US
dc.subjectComputer Simulationen_US
dc.subjectDifferential Equationsen_US
dc.subjectElasticityen_US
dc.subjectStiffness Matrixen_US
dc.subjectSpring Force Formulationen_US
dc.subjectAnimationen_US
dc.titleA spring force formulation for elastically deformable modelsen_US
dc.typeArticleen_US

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