pdf-file, 2.03 Mbyte - Torsten Schütze

114 Literaturverzeichnis
[Sch92b] J. W. Schmidt. Positive, monotone, and S-convex C 1 -interpolation on rectangular
grids. Computing, 48:363–371, 1992.
[Sch96] T. Schütze. FREE – A program for constrained approximation by splines with free
knots. Preprint MATH-NM-04-1996, Technical University of Dresden, 1996.
[SK93] H. Schwetlick and V. Kunert. Spline smoothing under constraints on derivatives. BIT,
33:512–528, 1993.
[Spä95] H. Späth. One Dimensional Spline Interpolation Algorithms. AK Peters, Wellesley MA,
1995.
[SS90] J. W. Schmidt and I. Scholz. A dual algorithm for convex-concave data smoothing by
cubic C 2 -splines. Numer. Math., 57:333–350, 1990.
[SS95] H. Schwetlick and T. Schütze. Least squares approximation by splines with free knots.
BIT, 35(3):361–384, 1995.
[SS96] L. L. Schumaker and S. S. Stanley. Shape-preserving knot removal. Computer Aided
Geometric Design, 13:851–872, 1996.
[SS97] T. Schütze and H. Schwetlick. Constrained approximation by splines with free knots.
BIT, 37(1):105–137, 1997.
[Suc91] P. Suchomski. Method of optimal variable-knot spline interpolation in the L2 discrete
norm. Internat. J. Systems Sci., 22(11):2263–2274, 1991.
[SW53] I. J. Schoenberg and A. Whitney. On Pólya frequency functions III: The positivity
of translation determinants with an application to the interpolation problem by spline
curves. Trans. Amer. Math. Soc., 74:246–259, 1953.
[SW97] J. W. Schmidt and M. Walther. Gridded data interpolation with restrictions on the first
order derivatives. In G. Nürnberger, J. W. Schmidt, and G. Walz, editors, Multivariate
Approximation and Splines, ISNM, pages 291–307. Birkhäuser, Basel, 1997.
[TB97] Y. Tourigny and M. J. Baines. Analysis of an algorithm for generating locally optimal
meshes for L2 approximation by discontinous piecewise polynomials. Math. Comp.,
pages 623–650, 1997.
[Utr91] F. I. Utreras. The variational approach to shape preservation. In P. J. Laurent,
A. le Méhauté, and L. L. Schumaker, editors, Curves and Surfaces, Proceedings Chamonix
1990, pages 461–476. Academic Press, Boston, 1991.
[Var82] J. M. Varah. A spline least squares method for numerical parameter estimation in
differential equations. SIAM J. Sci. Statist. Comput., 3:28–46, 1982.
[VBH92] A. H. Vermeulen, R. H. Bartels, and G. R. Heppler. Integrating products of B-splines.
SIAM J. Sci. Statist. Comput., 13(4):1025–1038, 1992.
[Wah82] G. Wahba. Constrained regularization for ill-posed linear operator equations, with
applications to meteorology and medicine. In S. S. Gupta and J. O. Bergers, editors,
Statistical Decision Theory and Related Topics III, pages 383–418. Academic Press,
New York, 1982.
[Wah90] G. Wahba. Spline Models for Observational Data. SIAM Publications, Philadelphia,
1990.
[WD95] K. Willemans and P. Dierckx. Nonnegative surface fitting with Powell-Sabin splines.
Numer. Algorith., 9:263–276, 1995.
[Wev89] U. Wever. Darstellung von Kurven und Flächen mittels datenreduzierender Algorithmen.
Dissertation, TU München, 1989.
[WL69] H. Wold and E. Lyttkens. Nonlinear iterative partial least squares (NIPALS) estimation
procedures. Bull. ISI, 43:29–51, 1969.