SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Constructive Approximation

Volumn 2, Issue 1, 1986, Pages 11-22

Interpolation of scattered data: Distance matrices and conditionally positive definite functions

(1) Micchelli, Charles A a

a IBM T J WATSON RESEARCH CENTER (United States)

Author keywords

AMS classification: 41A05, 41A63; Multiquadric surface; Multivariate interpolation; Positive definite functions; Thin plate splines

Indexed keywords

EID: 34250122797 PISSN: 01764276 EISSN: 14320940 Source Type: Journal
DOI: 10.1007/BF01893414 Document Type: Article

Times cited : (1180)

References (32)

1
- 0003851731
- National Bureau of Standards, Washington, D.C.
- (1966) Handbook of Mathematical Functions (National Bureau of Standards Applied Mathematics Series 55)
- Abramowitz, M.¹ Stegun, I.A.²

2
- 0004086623
- Elsevier, Amsterdam
- (1974) Geomathematics
- Agterberg, F.P.¹

3
- 5844297152
- Theory of reproducing kernels
- (1950) Transactions of the American Mathematical Society , vol.68 , pp. 337-404
- Aronszajn, N.¹

4
- 84934673069
- R. Askey (1973): Radial Characteristic Functions (MRC Technical Sum: Report no. 1262). University of Wisconsin.

5
- 84934673066
- R. Barnhill, S. Stead (1983): Multistage trivariate surfaces. Preprint.

6
- 0003822012
- Chelsea Publishing, New York
- (1970) Theory and Application of Distance Geometry
- Blumenthal¹

7
- 0003798867
- Springer-Verlag, Berlin Heidelberg New York
- (1974) Monotone Matrix Functions and Analytic Continuation
- Donoghue, W.F.¹

8
- 0001935440
- Splines minimizing rotation-invariant semi-norms in Sobolev spaces
- W., Schempp, K., Zeller, Springer-Verlag, Berlin Heidelberg New York
- (1976) Constructive Theory of Functions of Several Variables
- Duchon, J.¹

9
- 84934673067
- N. Dyn, D. Levin, S. Rippa (1983): Numerical procedures for global surface smoothing of noisy scattered data. Preprint.

10
- 84968515237
- Scattered data interpolation: tests of some methods
- (1982) Math. Comp. , vol.38 , pp. 381-200
- Franke, R.¹

11
- 84934673074
- International Symposium on Surface Approximation, University of Milano, Govgano, Italy
- (1983) Lecture notes on global basis function methods for scattered data
- Franke, R.¹

12
- 0010531195
- Positivity and special functions
- R., Askey, Academic Press, New York
- (1975) The Theory and Application of Special Functions
- Gasper, G.¹

13
- 0004007149
- Academic Press, New York
- (1964) Generalized Functions, Vol. 4
- Gelfand, I.M.¹ Vilenkin²

14
- 84934673075
- R. L. Hardy (1971): Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res., C.

15
- 84934690419
- Proceedings of the NASA Workshop on Surface Fitting, Center for Approximation Theory, Texas A & M University, College Station, Texas
- (1982) Surface fitting with biharmonic and harmonic models , pp. 136-146
- Hardy, R.L.¹

16
- 0004070324
- Birkhäuser, Basel
- (1980) The Radon Transform
- Helgason, S.¹

17
- 0000549804
- Linear forms and statical criteria, II
- (1953) Ukrain. Mat. Zh. , vol.51 , pp. 247-290
- Linnik, J.V.¹

18
- 0004203203
- Hafner, New York
- (1970) Characteristic Functions
- Luckas, E.¹

19
- 0015764255
- The intrinsic random functions and their applications
- (1973) Adv. in Appl. Probab. , vol.5 , pp. 439-468
- Matheron, G.¹

20
- 0001812926
- Splines and kriging: their formal equivalence
- D. F., Marriam, Department of Geology, Syracuse University, Syracuse, New York
- (1981) Syracuse University Geology Contribution 8
- Matheron, G.¹

21
- 0006498070
- An intrinsic approach to multivariate spline interpolation at arbitrary points
- B. N., Sahney, D. Reidel, Dordrecht
- (1979) Polynomial and Splines Approximation , pp. 163-190
- Meinguet, J.¹

22
- 0003162027
- Fourier integrals and metric geometry
- (1941) Transactions of the American Mathematical Society , vol.50 , pp. 226-251
- von Neumann, J.¹ Schoenberg, I.J.²

23
- 1842346858
- Some relationships between surface splines and kriging
- W., Schempp, K., Zeller, Birkhäuser, Basel
- (1982) Multivariate Approximation Theory II , pp. 313-325
- Salkauskas, K.¹

24
- 0002647344
- Interpolation in two dimensions — a new technique
- (1979) J. Inst. Math. Appl. , vol.23 , pp. 53-59
- Schagen, I.P.¹

25
- 0001203499
- Remarks to Maurice Frechet's article “Sur la definition axiomatique d'une classe d'espace distancies vectoriellemment applicable sur l'espace de Hilbert.”
- (1935) The Annals of Mathematics , vol.36 , pp. 724-732
- Schoenberg, I.J.¹

26
- 84968492782
- Metric spaces and positive definite functions
- (1938) Transactions of the American Mathematical Society , vol.44 , pp. 522-536
- Schoenberg, I.J.¹

27
- 0001743201
- Metric spaces and completely monotone functions
- (1938) The Annals of Mathematics , vol.39 , pp. 811-841
- Schoenberg, I.J.¹

28
- 0001558197
- Positive definite functions and generalizations, an historical survey
- (1976) Rocky Mountain J. Math. , vol.6 , pp. 409-434
- Stewart, J.¹

29
- 84934673072
- Wahba (1982): Private communication.

30
- 0003604047
- 2nd ed., Cambridge University Press, Cambridge
- (1966) Theory of Bessel Functions
- Watson, G.N.¹

31
- 0004201980
- Princeton University Press, Princeton
- (1946) The Laplace Transform
- Widder, D.V.¹

32
- 84972529912
- Multiply monotone functions and their Laplace transform
- (1956) Duke Math. J. , vol.23 , pp. 189-207
- Williaon, R.E.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.