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  • 65D07  (1)
  • Dimension  (1)
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  • 1
    Digitale Medien
    Digitale Medien
    Super spline spaces of smoothnessr and degreed≥3r+2 (1991)
    Springer
    Constructive approximation 7 (1991), S. 401-423 
    Details
    ISSN: 1432-0940
    Schlagwort(e): 41A5 ; Multivariate splines ; Super splines ; Dimension
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01888166
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines (1991)
    Springer
    Numerische Mathematik 60 (1991), S. 133-144 
    Details
    ISSN: 0945-3245
    Schlagwort(e): 65D07
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary A method is presented for fitting a function defined on a general smooth spherelike surfaceS, given measurements on the function at a set of scattered points lying onS. The approximating surface is constructed by mapping the surface onto a rectangle, and using a tensor-product of polynomial splines with periodic trigonometric splines. The use of trigonometric splines allows a convenient solution of the problem of assuring that the resulting surface is continuous and has continuous tangent planes at all points onS. Two alternative algorithms for computing the coefficients of the tensor fit are presented; one based on global least-squares, and the other on the use of local quasi-interpolators. The approximation order of the method is established, and the numerical performance of the two algorithms is compared.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01385718
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Artikel (Nationallizenzen)
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