On the control net of certain multivariate spline functions
Wenz, Hans-Jörg
Acta Mathematica et Informatica Universitatis Ostraviensis, Tome 02 (1994), p. 113-(125) / Harvested from Czech Digital Mathematics Library
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Publié le : 1994-01-01
Classification:  41A15,  41A63,  65D07 
@article{120479,
     author = {Hans-J\"org Wenz},
     title = {On the control net of certain multivariate spline functions},
     journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
     volume = {02},
     year = {1994},
     pages = {113-(125)},
     zbl = {0848.41008},
     mrnumber = {1309069},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120479}
}

Wenz, Hans-Jörg. On the control net of certain multivariate spline functions. Acta Mathematica et Informatica Universitatis Ostraviensis, Tome 02 (1994) pp. 113-(125). http://gdmltest.u-ga.fr/item/120479/

De Boor C. Splines as linear combinations of B-splines: A survey, in: Lorentz G. G., Chui C. K., Schumaker L. L., Hrsg., Approximation Theory II, Academic Press, New York, 1976, 1-47. (1976) | MR 0467092 | Zbl 0343.41011

De Boor C. B-form basics, in: Farin G., Hrsg., Geometric Modeling, Algorithms and New Trends, SIAM, Philadelphia, 1987, 131-148. (1987) | MR 0936450

Cohen E.; Schumaker L. L. Rates of convergence of control polygons, CAGD 2 (1985), 229-235. (1985) | MR 0828549 | Zbl 0597.65003

Curry H. B.; Schoenberg I. J. On Pólya frequency functions IV: The fundamental spline functions and their limits, J. Analyse Math. 17 (1966), 71-107. (1966) | Article | MR 0218800 | Zbl 0146.08404

Dahmen W.; Micchelli C.A.; Seidel H.-P. Blossoming begets B-spline bases built better by B-patches, Math. Comp. 59 (199) (1992), 97-115. (199)) | MR 1134724

Fong P.; Seidel H.-P. An implementation of triangular B-splline surfaces over arbitrary triangulations, CAGD 10 (1993), 267-275. (1993) | MR 1235157

Hollig K. Multivariate splines, SIAM J. Numer. Anal. 19 (5) (1982), 1013-1031. (1982) | Article | MR 0672574

Micchelli C A. A constructive approach to Kergin interpolation in $R^k$: Multivariate B-splines and Lagrange-interpolation, Rocky Mountain J. Math. 10(3) (1980), 485-497. (1980) | Article | MR 0590212

Seidel H.-P. Symmetric recursive algorithms for surfaces: B-patches and the de Boor algorithm for polynomials over triangles, Const. Approx. 7 (1991), 257-279. (1991) | Article | MR 1101066 | Zbl 0733.41018

Seidel H.-P. Representing piecewise polynomials as linear combinations of multivariate B-splines, in: Lyche T., and Schumaker L. L., Mathematical methods in computer aided geometric design, II, Academic Press, Boston (1992), 559-566. (1992) | MR 1172832

Walter W. Analysis II, Springer Verlag, Berlin, 1990. (1990) | Zbl 0705.26001