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    Shape morphing of complex geometries using partial differential equations.

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    CastroUgailShapeMorph2007JMM.pdf (1.158Mb)
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    Publication date
    2007
    Author
    Gonzalez Castro, Gabriela
    Ugail, Hassan
    Keyword
    Morphing
    PDE surfaces
    Geometric modelling
    PDE method
    Geometric algorithms
    Boundary representations
    Partial differential equations
    Rights
    © 2007 Academy Publisher. Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    An alternative technique for shape morphing using a surface generating method using partial differential equations is outlined throughout this work. The boundaryvalue nature that is inherent to this surface generation technique together with its mathematical properties are hereby exploited for creating intermediate shapes between an initial shape and a final one. Four alternative shape morphing techniques are proposed here. The first one is based on the use of a linear combination of the boundary conditions associated with the initial and final surfaces, the second one consists of varying the Fourier mode for which the PDE is solved whilst the third results from a combination of the first two. The fourth of these alternatives is based on the manipulation of the spine of the surfaces, which is computed as a by-product of the solution. Results of morphing sequences between two topologically nonequivalent surfaces are presented. Thus, it is shown that the PDE based approach for morphing is capable of obtaining smooth intermediate surfaces automatically in most of the methodologies presented in this work and the spine has been revealed as a powerful tool for morphing surfaces arising from the method proposed here.
    URI
    http://hdl.handle.net/10454/2643
    Version
    published version paper
    Citation
    Gonzalez Castro, G. and Ugail, H. (2007). Shape morphing of complex geometries using partial differential equations. Journal of Multimedia, Vol. 2, No. 6, pp. 15-25.
    Link to publisher’s version
    http://www.academypublisher.com/jmm/
    Type
    Article
    Collections
    Engineering and Informatics Publications

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