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  • AMS(MOS): 65D10  (1)
  • Dimension  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Complete spline smoothing (1986)
    Springer
    Numerische Mathematik 49 (1986), S. 1-10 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65D10 ; G: 1.2
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The purpose of this paper is to develop complete spline smoothing methods from a computational point of view, culminating in efficient stable numerical algorithms. Both the univariate and bivariate (tensorproduct) cases will be treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389426
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Super spline spaces of smoothnessr and degreed≥3r+2 (1991)
    Springer
    Constructive approximation 7 (1991), S. 401-423 
    Details
    ISSN: 1432-0940
    Keywords: 41A5 ; Multivariate splines ; Super splines ; Dimension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of computing the dimension of spaces of splines whose elements are piecewise polynomials of degreed withr continuous derivatives globally has attracted a great deal of attention recently. We contribute to this theory by obtaining dimension formulae for certain spaces of super splines, including the case where varying amounts of additional smoothness is enforced at each vertex. We also explicitly construct minimally supported bases for the spaces. The main tool is the Bernstein-Bézier method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01888166
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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