DOI: 10.1023/a:1018975909870. An algorithm for selecting a good value for the parameter c in radial basis function interpolation

An algorithm for selecting a good value for the parameter c in radial basis function interpolation

10.1023/a:1018975909870

Crossref journal-article

Springer Science and Business Media LLC

Advances in Computational Mathematics (297)

Bibliography

Rippa, S. (1999). An algorithm for selecting a good value for the parameter c in radial basis function interpolation. Advances in Computational Mathematics, 11(2â3), 193â210.

Authors 1

Shmuel Rippa (first)

References 13 Referenced 744

R.E. Carlson and T.A. Foley, The parameter R 2 in multiquadric interpolation, Comput. Math. Appl. 21 (1991) 29-42. (10.1016/0898-1221(91)90123-L) / Comput. Math. Appl. by R.E. Carlson (1991)
T.A. Foley, Interpolation and approximation of 3-D and 4-D scattered data, Comput. Math. Appl. 13 (1987) 711-740. (10.1016/0898-1221(87)90043-5) / Comput. Math. Appl. by T.A. Foley (1987)
T.A. Foley, Near optimal parameter selection for multiquadric interpolation, J. Appl. Sci. Comput. 1 (1991) 54-69. / J. Appl. Sci. Comput. by T.A. Foley (1991)
R. Franke, Scattered data interpolation: tests of some methods, Math. Comp. 38 (1982) 181-200. (10.2307/2007474) / Math. Comp. by R. Franke (1982)
R.L. Hardy, Multiquadric equations of topography and other irregular surfaces, J. Geophys. Res. 76 (1971) 1905-1915. (10.1029/JB076i008p01905) / J. Geophys. Res. by R.L. Hardy (1971)
R.L. Hardy, Theory and applications of the multiquadric-biharmonic method, Comput. Math. Appl. 19 (1990) 163-208. (10.1016/0898-1221(90)90272-L) / Comput. Math. Appl. by R.L. Hardy (1990)
E.J. Kansa and R.E. Carlson, Improved accuracy of multiquadric interpolation using variable shape parameters, Preprint, Lawrence Livermore National Laboratory.
T. Lyche and K. Morken, Knot removal for parametric B-spline curves and surfaces, Comput. Aided Geom. Design 4 (1987) 217-230. (10.1016/0167-8396(87)90013-6) / Comput. Aided Geom. Design by T. Lyche (1987)
C.A. Micchelli, Interpolation of scattered data: distance matrices and conditionally positive definite functions, Constr. Approx. 2 (1986) 11-22. (10.1007/BF01893414) / Constr. Approx. by C.A. Micchelli (1986)
T. Poggio and F. Girosi, Networks for approximation and learning, Proceedings of the IEEE 78 (1990) 1481-1497. (10.1109/5.58326) / Proceedings of the IEEE by T. Poggio (1990)
M.J.D. Powell, The theory of radial basis function approximation in 1990, in: Advances in Numerical Analysis, Vol. II: Wavelets, Subdivision Algorithms and Radial Functions, ed. W. Light (Oxford University Press, Oxford, UK, 1991) pp. 105-210. / Advances in Numerical Analysis, Vol. II: Wavelets, Subdivision Algorithms and Radial Functions by M.J.D. Powell (1991)
W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes in C. The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992). / Numerical Recipes in C. The Art of Scientific Computing by W.H. Press (1992)
S.I.M. Ritchie, Surface representation by finite elements, Ms. thesis, University of Calgary (1978).

Dates

Type	When
Created	22 years, 6 months ago (Feb. 19, 2003, 5:07 p.m.)
Deposited	3 months ago (May 16, 2025, 7:23 p.m.)
Indexed	1 week, 1 day ago (Aug. 12, 2025, 5:51 p.m.)
Issued	25 years, 9 months ago (Nov. 1, 1999)
Published	25 years, 9 months ago (Nov. 1, 1999)
Published Print	25 years, 9 months ago (Nov. 1, 1999)

Funders 0

None

BibTeX

@article{Rippa_1999, title={An algorithm for selecting a good value for the parameter c in radial basis function interpolation}, volume={11}, ISSN={1572-9044}, url={http://dx.doi.org/10.1023/a:1018975909870}, DOI={10.1023/a:1018975909870}, number={2–3}, journal={Advances in Computational Mathematics}, publisher={Springer Science and Business Media LLC}, author={Rippa, Shmuel}, year={1999}, month=nov, pages={193–210} }

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