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dc.contributor.authorGonzalez Castro, Gabriela*
dc.contributor.authorAthanasopoulos, Michael*
dc.contributor.authorUgail, Hassan*
dc.contributor.authorWillis, P.*
dc.contributor.authorSheng, Y*
dc.date.accessioned2011-07-23T15:52:01Z
dc.date.available2011-07-23T15:52:01Z
dc.date.issued2010
dc.identifier.citationGonzalez Castro G., Athanasopoulos M., Ugail H., Willis P. and Sheng Y. (2010). Cyclic animation using Partial differential Equations. The Visual Computer. Vol. 26, No. 5, pp. 325-338.en_US
dc.identifier.urihttp://hdl.handle.net/10454/4969
dc.descriptionYesen_US
dc.description.abstractThis work presents an efficient and fast method for achieving cyclic animation using Partial Differential Equations (PDEs). The boundary-value nature associ- ated with elliptic PDEs offers a fast analytic solution technique for setting up a framework for this type of animation. The surface of a given character is thus cre- ated from a set of pre-determined curves, which are used as boundary conditions so that a number of PDEs can be solved. Two different approaches to cyclic ani- mation are presented here. The first consists of using attaching the set of curves to a skeletal system hold- ing the animation for cyclic motions linked to a set mathematical expressions, the second one exploits the spine associated with the analytic solution of the PDE as a driving mechanism to achieve cyclic animation, which is also manipulated mathematically. The first of these approaches is implemented within a framework related to cyclic motions inherent to human-like char- acters, whereas the spine-based approach is focused on modelling the undulatory movement observed in fish when swimming. The proposed method is fast and ac- curate. Additionally, the animation can be either used in the PDE-based surface representation of the model or transferred to the original mesh model by means of a point to point map. Thus, the user is offered with the choice of using either of these two animation repre- sentations of the same object, the selection depends on the computing resources such as storage and memory capacity associated with each particular application.en_US
dc.rights(c) 2010 Springer Verlag. Reproduced in accordance with the publisher's self-archiving policy.en
dc.subjectCyclic animationen_US
dc.subjectPDE surfacesen_US
dc.titleCyclic animation using Partial differential Equationsen_US
dc.status.refereedYesen_US
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
dc.identifier.doihttps://doi.org/10.1007/s00371-010-0422-5
refterms.dateFOA2018-07-19T06:19:03Z


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