메뉴 건너뛰기




Volumn 38, Issue 157, 1982, Pages 181-200

Scattered data interpolation: Tests of some methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84968515237     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1982-0637296-4     Document Type: Article
Times cited : (1912)

References (55)
  • 1
    • 84912791446 scopus 로고
    • Comments on 'Optimal contour mapping using universal kriging' by Ricardo A. Olea
    • with reply
    • Hiroshi Akima, "Comments on 'Optimal contour mapping using universal kriging' by Ricardo A. Olea," J. GeophysicaRl es., v. 80, 1975, p p. 832-836 (with reply)
    • (1975) J. Geophysicarl Es , vol.80 , pp. 832-836
    • Akima, H.1
  • 2
    • 84976710631 scopus 로고
    • A method of bivariate interpolation and smooth surface fitting for irregularly distributed data points
    • Hiroshi Akima, "A method of bivariate interpolation and smooth surface fitting for irregularly distributed data points," ACM Trans. Math. Software, v. 4, 1978, pp. 148-159.
    • (1978) ACM Trans. Math. Software , vol.4 , pp. 148-159
    • Akima, H.1
  • 3
    • 84976710631 scopus 로고
    • Algorithm 526: Bivariate interpolation and smooth fitting for irregularly distributed data points
    • Hiroshi Akima, "Algorithm 526: Bivariate interpolation and smooth fitting for irregularly distributed data points," ACM Trans. Math. Software, v. 4, 1978, pp. 160-164.
    • (1978) ACM Trans. Math. Software , vol.4 , pp. 160-164
    • Akima, H.1
  • 4
    • 0000066368 scopus 로고
    • Representation and approximation of surfaces
    • J. R. Rice, Ed.), Academic Press, New York
    • R. E. Barnhill, "Representation and approximation of surfaces," in Mathematical Software III (J. R. Rice, Ed.), Academic Press, New York, 1977, pp. 69-120.
    • (1977) Mathematical Software III , pp. 69-120
    • Barnhill, R.E.1
  • 6
    • 0002161735 scopus 로고
    • Machine contouring using minimum curvature
    • Ian C. Briggs, "Machine contouring using minimum curvature," Geophysics, v. 39, 1974, pp. 39-48.
    • (1974) Geophysics , vol.39 , pp. 39-48
    • Briggs, I.C.1
  • 8
    • 0005222133 scopus 로고
    • Treatment of nonequispaced two dimensional data with a digital computer
    • I. K. Cratn & B. K. Bhattacharyya, "Treatment of nonequispaced two dimensional data with a digital computer," Geoexploration, v. 5, 1967, pp. 173-194.
    • (1967) Geoexploration , vol.5 , pp. 173-194
    • Cratn, I.K.1    Bhattacharyya, B.K.2
  • 11
    • 0017216638 scopus 로고
    • Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces
    • Jean Duchon, "Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces," R.A.l.R.O. Anal. Numér., v. 10, 1976, pp. 5-12.
    • (1976) R.A.L.R.O. Anal. Numér , vol.10 , pp. 5-12
    • Duchon, J.1
  • 13
    • 84915555681 scopus 로고
    • Ferguson, "Multivariable curve interpolation
    • James C. Ferguson, "Multivariable curve interpolation," J. Assoc. Comput. Mach., v. 11, 1964, pp. 221-228.
    • (1964) J. Assoc. Comput. Mach , vol.11 , pp. 221-228
    • James, C.1
  • 14
    • 0010722806 scopus 로고
    • Smooth Multivariate Interpolation to Scattered Data
    • Arizona State University
    • Thomas Alfred Foley, Jr., Smooth Multivariate Interpolation to Scattered Data, Ph. D. Dissertation, Arizona State University, 1979.
    • (1979) Ph. D. Dissertation
    • Foley, T.A.1
  • 15
    • 0010677349 scopus 로고
    • Multivariate interpolation to scattered data using delta iteration
    • E. W. Cheney, Ed.), Academic Press, New York
    • Thomas A. Foley & Gregory M. Nielson, "Multivariate interpolation to scattered data using delta iteration," in Approximation Theory III (E. W. Cheney, Ed.), Academic Press, New York, 1980, pp. 419-424.
    • (1980) Approximation Theory III , pp. 419-424
    • Foley, T.A.1    Nielson, G.M.2
  • 16
    • 0004983396 scopus 로고
    • Locally determined smooth interpolation at irregularly spaced points in several variables
    • Richard Franke, "Locally determined smooth interpolation at irregularly spaced points in several variables," J. Inst. Math. Appl., v. 19, 1977, pp. 471-482.
    • (1977) J. Inst. Math. Appl , vol.19 , pp. 471-482
    • Franke, R.1
  • 19
    • 84987013506 scopus 로고
    • Smooth interpolation of large sets of scattered data
    • Richard Franke & Gregory Nielson, "Smooth interpolation of large sets of scattered data," Internat. J. Numer. Methods Engrg., v. 15, 1980, pp. 1691-1704.
    • (1980) Internat. J. Numer. Methods Engrg , vol.15 , pp. 1691-1704
    • Franke, R.1    Nielson, G.2
  • 20
    • 84976757129 scopus 로고
    • Automated contour mapping using triangular element data structures and an interpolant over each irregular triangular domain
    • C. M. Gold, J. D. Charters & J. Ramsden, "Automated contour mapping using triangular element data structures and an interpolant over each irregular triangular domain," Comput. Graphics, v. 11, 1977, pp. 170-175.
    • (1977) Comput. Graphics , vol.11 , pp. 170-175
    • Gold, C.M.1    Charters, J.D.2    Ramsden, J.3
  • 21
    • 84966235290 scopus 로고
    • Gordon & James A. Wixom, "Shepard's method of "metric interpolation" to bivariate and multivariate interpolation
    • William J. Gordon & James A. Wixom, "Shepard's method of "metric interpolation" to bivariate and multivariate interpolation," Math. Comp., v. 32, 1978,. 253-264.
    • (1978) Math. Comp , vol.32 , pp. 253-264
    • William, J.1
  • 22
    • 0015291061 scopus 로고
    • Interpolation using surface splines
    • R. L. Harder & R. N. Desmarais, "Interpolation using surface splines," J. Aircraft, v. 9, 1972,. 189-191.
    • (1972) J. Aircraft , vol.9 , pp. 189-191
    • Harder, R.L.1    Desmarais, R.N.2
  • 23
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Rolland L. Hardy, "Multiquadric equations of topography and other irregular surfaces," J. GeophysRes., v . 76, 1971,. 1905-1915.
    • (1971) J. Geophysres , vol.76 , pp. 1905-1915
    • Hardy, R.L.1
  • 24
    • 0004424719 scopus 로고
    • Analytical topographic surfaces by spatial intersection
    • Rolland L. Hardy, "Analytical topographic surfaces by spatial intersection," Photogrammetric Engineering, v . 38, 1972,. 452-458
    • (1972) Photogrammetric Engineering , vol.38 , pp. 452-458
    • Hardy, R.L.1
  • 25
    • 0016656294 scopus 로고
    • Research results in the application of multiquadric equations to surveying and mapping problems
    • Rolland L. Hardy, "Research results in the application of multiquadric equations to surveying and mapping problems," Surveying and Mapping, v. 35, 1975,. 321-332.
    • (1975) Surveying and Mapping , vol.35 , pp. 321-332
    • Hardy, R.L.1
  • 29
    • 84987471914 scopus 로고
    • Least squares prediction of gravity anomalies, geoidal undulations, and deflections of the vertical with multiquadric harmonic functions
    • Rolland L. Hardy & W. M. Gopfert, "Least squares prediction of gravity anomalies, geoidal undulations, and deflections of the vertical with multiquadric harmonic functions," Geophys. Res. Utters, v. 10, 1975,. 423-426.
    • (1975) Geophys. Res. Utters , vol.10 , pp. 423-426
    • Hardy, R.L.1    Gopfert, W.M.2
  • 31
    • 0043124769 scopus 로고
    • Modeling in n dimensions using a weighting function approach
    • J. R. Jancaitus & J. L. Junkins, "Modeling in n dimensions using a weighting function approach," J. GeophysRes., v. 79, 1974,. 3361-3366.
    • (1974) J. Geophysres , vol.79 , pp. 3361-3366
    • Jancaitus, J.R.1    Junkins, J.L.2
  • 32
    • 0012208548 scopus 로고
    • A weighting function approach to modeling of irregular surfaces
    • J. L. Junkins, G. W. Miller & J. R. Jancaitus, "A weighting function approach to modeling of irregular surfaces," J. Geophys. Res., v. 78, 1973,. 1794-1803.
    • (1973) J. Geophys. Res , vol.78 , pp. 1794-1803
    • Junkins, J.L.1    Miller, G.W.2    Jancaitus, J.R.3
  • 33
    • 0000294884 scopus 로고
    • Moving weighted least-squares methods
    • B. N. Sahney, EdReidel, Dordrecht
    • P. Lancaster, "Moving weighted least-squares methods," in Polynomial and Spline Approximation (B. N. Sahney, Ed), Reidel, Dordrecht, 1979,. 103-120.
    • (1979) Polynomial and Spline Approximation , pp. 103-120
    • Lancaster, P.1
  • 34
    • 84968473157 scopus 로고
    • Surfaces Generated by Moving Least Squares Methods
    • Dept. of Math, and Stat., The Univ. of Calgary, Calgary, Alberta, Canada
    • P. Lancaster & K. Salkauskas, Surfaces Generated by Moving Least Squares Methods, Research Paper No. 438, Dept. of Math, and Stat., The Univ. of Calgary, Calgary, Alberta, Canada, 1979
    • (1979) Research Paper No. 438
    • Lancaster, P.1    Salkauskas, K.2
  • 35
    • 0000061516 scopus 로고
    • Software for C1 surface interpolation
    • J. R. Rice, Ed.), Academic Press, New York
    • C. L. Lawson, "Software for C1 surface interpolation," in Software III (J. R. Rice, Ed.), Academic Press, New York, 1977,. 159-192.
    • (1977) Software III , pp. 159-192
    • Lawson, C.L.1
  • 36
    • 84968480147 scopus 로고    scopus 로고
    • University of UtahForthcoming
    • Frank Little, CAGD report, University of Utah. (Forthcoming)
    • CAGD Report
    • Little, F.1
  • 37
    • 33748698679 scopus 로고
    • Random kriging
    • Daniel F. Merriam, Ed.), Plenum Press, New York
    • A. Maréchal & J. Serra, "Random kriging," in Geostatistics (Daniel F. Merriam, Ed.), Plenum Press, New York, 1970,. 91-112.
    • (1970) Geostatistics , pp. 91-112
    • Maréchal, A.1    Serra, J.2
  • 38
    • 0007194399 scopus 로고
    • Random functions and their applications in geology
    • Daniel F. Merriam, Ed.), Plenum Press, New York
    • G. Matheron, "Random functions and their applications in geology," in Geostatistics (Daniel F. Merriam, Ed.), Plenum Press, New York, 1970,. 79-87.
    • (1970) Geostatistics , pp. 79-87
    • Matheron, G.1
  • 39
    • 0015764255 scopus 로고
    • The intrinsic random functions and their applications
    • G. Matheron, "The intrinsic random functions and their applications," Adv. in Appl. Probab., v. 5, 1973,. 439-468
    • (1973) Adv. In Appl. Probab , vol.5 , pp. 439-468
    • Matheron, G.1
  • 40
    • 3242732501 scopus 로고
    • Interpolation—Mainly for graph plotters
    • A. D. Maude, "Interpolation—Mainly for graph plotters," Comput. J., v. 16, 1973,. 64-65.
    • (1973) Comput. J , vol.16 , pp. 64-65
    • Maude, A.D.1
  • 41
    • 0016126720 scopus 로고
    • Drawing contours from arbitrary data points
    • Dermot H. McLain, "Drawing contours from arbitrary data points," Comput. J., v. 17, 1974,. 318-324.
    • (1974) Comput. J , vol.17 , pp. 318-324
    • McLain, D.H.1
  • 42
    • 0016956247 scopus 로고
    • Two dimensional interpolation from random data
    • also errata, v. 19, 1976, p. 384
    • Dermot H. McLain, "Two dimensional interpolation from random data," Comput. J., v. 19, 1976,. 178-181; also errata, v. 19, 1976, p. 384.
    • (1976) Comput. J , vol.19 , pp. 178-181
    • McLain, D.H.1
  • 43
    • 34250265664 scopus 로고
    • Multivariate interpolation at arbitrary points made simple
    • Jean Meinguet, "Multivariate interpolation at arbitrary points made simple," Z. Angew. Math. Phys., v. 30, 1979,. 292-304.
    • (1979) Z. Angew. Math. Phys , vol.30 , pp. 292-304
    • Meingue, J.1
  • 44
    • 0006498070 scopus 로고
    • An intrinsic approach to multivariate spline interpolation at arbitrary points
    • B. N. Sahney, Ed.), Reidel, Dordrecht
    • Jean Meinguet, "An intrinsic approach to multivariate spline interpolation at arbitrary points," in Polynomial and Spline Approximation (B. N. Sahney, Ed.), Reidel, Dordrecht, 1979, pp. 163-190.
    • (1979) Polynomial and Spline Approximation , pp. 163-190
    • Meinguet, J.1
  • 45
    • 0002094511 scopus 로고
    • Minimum norm interpolation in triangles," S1AM
    • G. M. Nielson, "Minimum norm interpolation in triangles," S1AM J. Numer. Anal., v. 17, 1980,. 44-62.
    • (1980) J. Numer. Anal , vol.17 , pp. 44-62
    • Nielson, G.M.1
  • 47
    • 0001639591 scopus 로고
    • Optimal contour mapping using universal kriging
    • Ricardo O. Olea, "Optimal contour mapping using universal kriging," J. Geophys. Res., v. 79, 1974,. 695-702
    • (1974) J. Geophys. Res , vol.79 , pp. 695-702
    • Olea, R.O.1
  • 48
    • 83455213697 scopus 로고
    • Automatic contouring of irregularly spaced data
    • Chester R. Pelto, Thomas A. Elkins & H. A. Boyd, "Automatic contouring of irregularly spaced data," Geophysics, v . 33, 1968,. 424-430.
    • (1968) Geophysics, V , vol.33 , pp. 424-430
    • Pelto, C.R.1    Elkins, T.A.2    Boyd, H.A.3
  • 49
    • 84976757268 scopus 로고
    • Piecewise quadratic approximation on triangles
    • M. J. D. Powell & M. A. Sabin, "Piecewise quadratic approximation on triangles," ACM Trans. Math. Software, v . 3, 1977,. 316-325
    • (1977) ACM Trans. Math. Software , vol.3 , pp. 316-325
    • Powell, M.1    Sabin, M.A.2
  • 50
    • 0344754576 scopus 로고
    • Disjunctive kriging: Comparison of theory with actual resul
    • Jean-Michel Rendu, "Disjunctive kriging: Comparison of theory with actual results," Math. Geol., v . 12, 1980,. 305-320
    • (1980) Math. Geol , vol.12 , pp. 305-320
    • Rendu, J.-M.1
  • 51
    • 0003791376 scopus 로고
    • Contouring—A review of methods for scattered data
    • K. W. Brodlie, Ed.), Academic Press, New York
    • M. A. Sabin, "Contouring—A review of methods for scattered data," in Mathematical Methods in Computer Graphics and Design (K. W. Brodlie, Ed.), Academic Press, New York, 1980, pp. 63-85.
    • (1980) Mathematical Methods in Computer Graphics and Design , pp. 63-85
    • Sabin, M.A.1
  • 52
    • 0003085949 scopus 로고
    • Fitting surfaces to scattered data
    • G. Lorentz, C. K. Chui & L. L. Schumaker, E dsAcademic Press, N ew York
    • L. L. Schumaker, "Fitting surfaces to scattered data," in Approximation Theory II (G. G. Lorentz, C. K. Chui & L. L. Schumaker, E ds), Academic Press, N ew York, 1976, 203-268.
    • (1976) Approximation Theory II , pp. 203-268
    • Schumaker, L.L.1
  • 53
    • 0014432211 scopus 로고
    • A Two-Dimensional Interpolation Function for Irregularly Spaced Data
    • Donald Shepard, A Two-Dimensional Interpolation Function for Irregularly Spaced Data, Proc. 23rd Nat. Conf. ACM, 1968, 517-523.
    • (1968) Proc. 23Rd Nat. Conf. ACM , pp. 517-523
    • Shepard, D.1
  • 54
    • 84913279906 scopus 로고
    • Interpolation to Arbitrarily Spaced Data
    • Dept. of Math., Univ. of Utah
    • W. L. ViTTrrow, Interpolation to Arbitrarily Spaced Data, Ph. D. Dissertation, Dept. of Math., Univ. of Utah, 1978.
    • (1978) Ph. D. Dissertation
    • Vittrrow, W.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.