“A generalized de Casteljau approach to 3D free-form deformation” by Chang and Rockwood

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Title:

    A generalized de Casteljau approach to 3D free-form deformation

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Abstract:


    This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine transformations, a generalized de Casteljau algorithm, whereby the object warps along a Be´zier curve as its skeleton.

References:


    1. Barr, A. H., Global and Local Deformations of Solid Primitives, Proceedings of SIGGRAPH ’84, Computer Graphics 18, 3 (July 1984), 21-30.
    2. Sederberg, T. W. and Parry, S. R., Free-Form Deformation of Solid Geometric Models, Proceedings of SIGGRAPH ’86, Computer Graphics 20, 4 (August 1986), 151-159.
    3. B~zier, P., Mathematical and Practical Possibilities of UNISURF, In Barnhill, R. E. and Riesenfeld, R. F. (eds), Computer Aided Geometric Design, Academic Press (1974), New York, 127-152.
    4. Coquillart, S., Extended Free-Form Deformation: A sculpturing Tool for 3D Geometric Modeling, Proceedings of SIGGRAPH ’90, Computer Graphics 24, 4 (August 1990), 187-196.
    5. Farin, G. E., Curves and Surfaces for Computer Aided Geometric Design, Academic Press (1993), 3rd Edition, Boston.


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