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    Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes

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    Date
    2004
    Author
    Hu, S. M.
    Li, C. F.
    Zhang, H.
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    Abstract
    When two topologically identical shapes are blended, various possible transformation paths exist from the source shape to the target shape. Which one is the most plausible? Here we propose that the transformation process should obey a quasi-physical law. This paper combines morphing with deformation theory from continuum mechanics. By using strain energy, which reflects the magnitude of deformation, as an objective function, we convert the problem of path interpolation into an unconstrained optimization problem. To reduce the number of variables in the optimization we adopt shape functions, as used in the finite element method (FEM). A point-to-point correspondence between the source and target shapes is naturally established using these polynomial functions plus a distance map.
    BibTeX
    @inproceedings {10.2312:sm.20041407,
    booktitle = {Solid Modeling},
    editor = {Gershon Elber and Nicholas Patrikalakis and Pere Brunet},
    title = {{Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes}},
    author = {Hu, S. M. and Li, C. F. and Zhang, H.},
    year = {2004},
    publisher = {The Eurographics Association},
    ISSN = {1811-7783},
    ISBN = {3-905673-55-X},
    DOI = {10.2312/sm.20041407}
    }
    URI
    http://dx.doi.org/10.2312/sm.20041407
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    Eurographics Association copyright © 2013 - 2023 
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    Theme by @mire NV
    System hosted at  Graz University of Technology.
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