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Digitale Medien

Super spline spaces of smoothnessr and degreed≥3r+2 (1991)

Ibrahim, Adel Kh. ; Schumaker, Larry L.

Springer

Constructive approximation 7 (1991), S. 401-423

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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

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