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    Cyclic animation using Partial differential Equations

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    Publication date
    2010
    Author
    Gonzalez Castro, Gabriela
    Athanasopoulos, Michael
    Ugail, Hassan
    Willis, P.
    Sheng, Y
    Keyword
    Cyclic animation
    PDE surfaces
    Rights
    (c) 2010 Springer Verlag. Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    This 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.
    URI
    http://hdl.handle.net/10454/4969
    Version
    Accepted Manuscript
    Citation
    Gonzalez 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.
    Link to publisher’s version
    http://dx.doi.org/10.1007/s00371-010-0422-5
    Type
    Article
    Collections
    Engineering and Informatics Publications

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