• DocumentCode
    3207108
  • Title

    Parametrizing and fitting bounded algebraic curves and surfaces

  • Author

    Taubin, Gabriel ; Cukierman, Fernando ; Sullivan, Steven ; Ponce, Jean ; Kriegman, David J.

  • Author_Institution
    IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
  • fYear
    1992
  • fDate
    15-18 Jun 1992
  • Firstpage
    103
  • Lastpage
    108
  • Abstract
    An approach to fitting of implicit algebraic curves and surfaces to point data is introduced. Two families of polynomials with bounded zero sets are presented. Members of these families have the same number of degrees of freedom as general polynomials of the same degree. Methods for fitting members of these families of polynomials to measured data points are described. Experimental results for sets of points in R 2 and R3 for curves and surfaces, respectively, are presented
  • Keywords
    computational geometry; curve fitting; polynomials; surface fitting; bounded algebraic curves; bounded zero sets; curve fitting; polynomials; surface fitting; Computer science; Computer vision; Curve fitting; Data mining; Ellipsoids; Engine cylinders; Polynomials; Shape; Solid modeling; Surface fitting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Vision and Pattern Recognition, 1992. Proceedings CVPR '92., 1992 IEEE Computer Society Conference on
  • Conference_Location
    Champaign, IL
  • ISSN
    1063-6919
  • Print_ISBN
    0-8186-2855-3
  • Type

    conf

  • DOI
    10.1109/CVPR.1992.223220
  • Filename
    223220
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3207108