• DocumentCode
    2863294
  • Title

    Existence of the normalized B-basis and a practical construction method of the B-algorithm

  • Author

    Fan, Zhang ; Baosheng, Kang ; Shaofeng, Ru ; Mingquan, Zhou

  • Author_Institution
    Northwest Univ., Xi´´an, China
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    66
  • Lastpage
    75
  • Abstract
    Necessary and sufficient conditions for the existence of a normalized B-basis on an extended Chebyshev space are presented. A method for constructing a normalized B-basis is given and the symmetry of the normalized B-basis is proved. Furthermore, a practical construction method for the B-algorithm on an extended Chebyshev space is discussed. Normalized B-bases and B-algorithms on some function spaces are also given.
  • Keywords
    Chebyshev approximation; computational geometry; curve fitting; splines (mathematics); surface fitting; B-algorithm; extended Chebyshev space; function spaces; normalized B-basis; CADCAM; Chebyshev approximation; Computer aided manufacturing; Design automation; Shape; Spline; Stochastic processes; Sufficient conditions; Surface reconstruction; Surface topography;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Processing, 2004. Proceedings
  • Print_ISBN
    0-7695-2078-2
  • Type

    conf

  • DOI
    10.1109/GMAP.2004.1290028
  • Filename
    1290028
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2863294