pdf-file, 2.03 Mbyte - Torsten Schütze

110 Literaturverzeichnis
[Cox82] M. G. Cox. Practical spline approximation. In P. R. Turner, editor, Topics in Numerical
Analysis, volume 965 of Lect. Notes Math., pages 79–112. Springer, 1982.
[Cro79] L. J. Cromme. Approximation auf Mannigfaltigkeiten mit Spitzen – Theorie und numerische
Methoden. Habilitationsschrift, Göttingen, 1979.
[Dan73] J. W. Daniel. Stability of definite quadratic programs. Math. Prog., 5:41–53, 1973.
[dB76] C. de Boor. Splines as linear combinations of B-splines. In G. G. Lorentz, C. K. Chui,
and L. L. Schumaker, editors, Approximation Theory II, pages 1–47. Academic Press,
New York, 1976.
[dB78] C. de Boor. A practical guide to splines. Springer-Verlag, New York, Heidelberg, Berlin,
1978.
[dBH87] C. de Boor and K. Höllig. B-splines without divided differences. In G. E. Farin, editor,
Geometric Modeling: Algorithms and New Trends, pages 21–27. SIAM Publications,
Philadelphia, 1987.
[dBLS76] C. de Boor, T. Lyche, and L. L. Schumaker. On calculating with B-splines ii: Integration.
In L. Collatz, H. Werner, and G. Meinardus, editors, Numerische Methoden der
Approximationstheorie, pages 123–146. Birkhäuser, Basel, 1976.
[dBR68] C. de Boor and J. R. Rice. Least squares cubic spline approximation II – variable knots.
Technical Report CSD TR 21, Computer Science Department, Purdue University, 1968.
[Die79] P. Dierckx. Het aanpassen van krommen en oppervlakken aan meetpunten met behulp
van spline funkties. PhD thesis, Katholieke Universiteit Leuven, 1979.
[Die80] P. Dierckx. An algorithm for cubic spline fitting with convexity constraints. Computing,
24:349–371, 1980.
[Die81] P. Dierckx. An algorithm for surface-fitting with spline functions. IMA J. Numer.
Anal., 1:267–283, 1981.
[Die82] P. Dierckx. A fast algorithm for smoothing data on a rectangular grid while using spline
functions. SIAM J. Numer. Anal., 19(6):1286–1305, 1982.
[Die87] P. Dierckx. FITPACK user guide, part 1: Curve fitting routines. Technical Report TW
Report 89, Department of Computer Science, Katholieke Universiteit Leuven, Belgium,
1987.
[Die89] P. Dierckx. FITPACK user guide, part 2: Surface fitting routines. Technical Report
TW Report 122, Department of Computer Science, Katholieke Universiteit Leuven,
Belgium, 1989.
[Die93] P. Dierckx. Curve and Surface Fitting with Splines. Oxford University Press, 1993.
[DS83] J. E. Dennis and R. B. Schnabel. Numerical Methods for Unconstrained Optimization
and Nonlinear Equations. Prentice Hall, Inc., 1983.
[DYS91] N. Dyn and I. Yad-Shalom. Optimal distribution of knots for tensor-product spline
approximation. Quart. Appl. Math., XLIX(1):19–27, 1991.
[EA88] T. Elfving and L. E. Andersson. An algorithm for computing constrained smoothing
spline functions. Numer. Math., 52:583–595, 1988.
[Eld84] L. Eldén. An algorithm for the regularization of ill-conditioned banded least squares
problems. SIAM J. Sci. Stat. Comput., 5:237–254, 1984.
[EMM89] S. Ewald, H. Mühlig, and B. Mulansky. Bivariate interpolating and smoothing tensor
product splines. In J. W. Schmidt and H. Späth, editors, Splines in Numerical Analysis,
Proceed. ISAM-89, volume 52 of Mathematical Research, pages 55–68. Akademie-Verlag,
Berlin, 1989.