Dynamic animation of n-dimensional deformable objects

dc.contributor.authorRemion, Yannick
dc.contributor.authorNourrit, Jean-Michel
dc.contributor.authorNocent, Olivier
dc.contributor.editorSkala, Václav
dc.date.accessioned2015-09-22T05:57:53Z
dc.date.available2015-09-22T05:57:53Z
dc.date.issued2000
dc.description.abstract-translatedThis paper presents a new, accurate, efficient and unified method for dynamic animation of one, two or three-dimensional deformable objects. The objects are modelled as d-dimensional juxtapositions of ddimensional patches defined as parametric blending of a common d-dimensional mesh of 3D control points. Animation of the object is achieved by dynamic animation of its control points. This ensures that at each time step the object shape conforms to its patches definitions, and, thus, that every property implied by the nature of the blending functions is verified. Dynamic animation of these continuous models implies no “matter discretising” as the control points are not considered as material points but moreover as the degrees of freedom of the continuous object. A generic (both for blending functions nature and object intrinsic dimension d) mechanical model reflecting this idea is proposed. Then, according to this modelling idea, a convenient generic dynamic animation engine is built from Lagrangian Equations. This engine relies upon an accurate and very efficient linear system. Forces and constraints handling as well as numerical resolution process are then briefly discussed in this scheme.en
dc.format8 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationJournal of WSCG. 2000, vol. 8, no. 1-3.en
dc.identifier.issn1213-6972 (print)
dc.identifier.issn1213-6980 (CD-ROM)
dc.identifier.issn1213-6964 (online)
dc.identifier.urihttp://hdl.handle.net/11025/15819
dc.identifier.urihttp://wscg.zcu.cz/wscg2000/wscg_2000_program.htm
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.relation.ispartofseriesJournal of WSCGen
dc.rights© Václav Skala - UNION Agencycs
dc.rights.accessopenAccessen
dc.subjectdynamická animacecs
dc.subjectLagrangeovy rovnicecs
dc.subjectsplinecs
dc.subjectparametrické povrchycs
dc.subjectparametrické objemycs
dc.subjectdeformované objektycs
dc.subject.translateddynamic animationen
dc.subject.translatedLagrange equationsen
dc.subject.translatedsplineen
dc.subject.translatedparametric surfacesen
dc.subject.translatedparametric volumesen
dc.subject.translateddeformable objectsen
dc.titleDynamic animation of n-dimensional deformable objectsen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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