On the control net of certain multivariate spline functions

Hans-Jörg Wenz

Acta Mathematica et Informatica Universitatis Ostraviensis (1994)

  • Volume: 02, Issue: 1, page 113-(125)
  • ISSN: 1804-1388

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Wenz, Hans-Jörg. "On the control net of certain multivariate spline functions." Acta Mathematica et Informatica Universitatis Ostraviensis 02.1 (1994): 113-(125). <http://eudml.org/doc/23758>.

@article{Wenz1994,
author = {Wenz, Hans-Jörg},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {univariate spline functions; -splines},
language = {eng},
number = {1},
pages = {113-(125)},
publisher = {University of Ostrava},
title = {On the control net of certain multivariate spline functions},
url = {http://eudml.org/doc/23758},
volume = {02},
year = {1994},
}

TY - JOUR
AU - Wenz, Hans-Jörg
TI - On the control net of certain multivariate spline functions
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1994
PB - University of Ostrava
VL - 02
IS - 1
SP - 113
EP - (125)
LA - eng
KW - univariate spline functions; -splines
UR - http://eudml.org/doc/23758
ER -

References

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  2. De Boor C., B-form basics, in: Farin G., Hrsg., Geometric Modeling, Algorithms and New Trends, SIAM, Philadelphia, 1987, 131-148. (1987) MR0936450
  3. Cohen E., Schumaker L. L., Rates of convergence of control polygons, CAGD 2 (1985), 229-235. (1985) Zbl0597.65003MR0828549
  4. Curry H. B., Schoenberg I. J., 10.1007/BF02788653, J. Analyse Math. 17 (1966), 71-107. (1966) Zbl0146.08404MR0218800DOI10.1007/BF02788653
  5. 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)) MR1134724
  6. Fong P., Seidel H.-P., An implementation of triangular B-splline surfaces over arbitrary triangulations, CAGD 10 (1993), 267-275. (1993) MR1235157
  7. Hollig K., 10.1137/0719073, SIAM J. Numer. Anal. 19 (5) (1982), 1013-1031. (1982) MR0672574DOI10.1137/0719073
  8. Micchelli C A., 10.1216/RMJ-1980-10-3-485, Rocky Mountain J. Math. 10(3) (1980), 485-497. (1980) MR0590212DOI10.1216/RMJ-1980-10-3-485
  9. Seidel H.-P., 10.1007/BF01888157, Const. Approx. 7 (1991), 257-279. (1991) Zbl0733.41018MR1101066DOI10.1007/BF01888157
  10. 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) MR1172832
  11. Walter W., Analysis II, Springer Verlag, Berlin, 1990. (1990) Zbl0705.26001

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