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

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Published:24 July 1994Publication History

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.

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References

  1. 1.Barr, A. H., Global and Local Deformations of Solid Primitives, Proceedings of SIGGRAPH '84, Computer Graphics 18, 3 (July 1984), 21-30. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 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.Google ScholarGoogle Scholar
  4. 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.Farin, G. E., Curves and Surfaces for Computer Aided Geometric Design, Academic Press (1993), 3rd Edition, Boston. Google ScholarGoogle ScholarDigital LibraryDigital Library

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

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        cover image ACM Conferences
        SIGGRAPH '94: Proceedings of the 21st annual conference on Computer graphics and interactive techniques
        July 1994
        512 pages
        ISBN:0897916670
        DOI:10.1145/192161

        Copyright © 1994 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 24 July 1994

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        Acceptance Rates

        SIGGRAPH '94 Paper Acceptance Rate57of242submissions,24%Overall Acceptance Rate1,822of8,601submissions,21%

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