메뉴 건너뛰기




Volumn 10, Issue 1, 1999, Pages 81-96

Hermite interpolation with radial basis functions on spheres

Author keywords

Hermite interpolation; Radial basis functions; Spherical interpolation

Indexed keywords


EID: 0033481828     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018914229009     Document Type: Article
Times cited : (15)

References (29)
  • 1
    • 0001781796 scopus 로고
    • Scattered data interpolation in three or more variables
    • eds. T. Lyche and L. Schumaker Academic Press, New York
    • P. Alfeld, Scattered data interpolation in three or more variables, in: Mathematical Methods in Computer Aided Geometric Design, eds. T. Lyche and L. Schumaker (Academic Press, New York, 1989) pp. 1-33.
    • (1989) Mathematical Methods in Computer Aided Geometric Design , pp. 1-33
    • Alfeld, P.1
  • 2
    • 0030571088 scopus 로고    scopus 로고
    • Fitting scattered data on sphere-like surfaces using spherical splines
    • P. Alfeld, M. Neamtu and L.L. Schumaker, Fitting scattered data on sphere-like surfaces using spherical splines, J. Comput. Appl. Math. 73 (1996) 5-43.
    • (1996) J. Comput. Appl. Math. , vol.73 , pp. 5-43
    • Alfeld, P.1    Neamtu, M.2    Schumaker, L.L.3
  • 5
    • 0043008723 scopus 로고
    • Positive powers of certain conditionally negative definite matrices
    • N. Dyn, T. Goodman and C.A. Micchelli, Positive powers of certain conditionally negative definite matrices, Indaga. Math. Proc. Ser. A 89 (1986) 163-178.
    • (1986) Indaga. Math. Proc. Ser. A , vol.89 , pp. 163-178
    • Dyn, N.1    Goodman, T.2    Micchelli, C.A.3
  • 7
    • 0042507795 scopus 로고
    • Adaptive least squares fitting with radial basis functions on the sphere
    • eds. M. Dæhlen, T. Lyche and L. Schumaker Vanderbilt University Press, Nashville and London
    • G.E. Fasshauer, Adaptive least squares fitting with radial basis functions on the sphere, in: Mathematical Methods for Curves and Surfaces, eds. M. Dæhlen, T. Lyche and L. Schumaker (Vanderbilt University Press, Nashville and London, 1995) pp. 141-150.
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 141-150
    • Fasshauer, G.E.1
  • 8
    • 0020277954 scopus 로고
    • Spline methods in geodetic approximation problems
    • W. Freeden, Spline methods in geodetic approximation problems, Math. Methods Appl. Sci. 4 (1982) 382-396.
    • (1982) Math. Methods Appl. Sci. , vol.4 , pp. 382-396
    • Freeden, W.1
  • 9
    • 84969074965 scopus 로고
    • A spline interpolation method for solving boundary value problems of potential theory from discretely given data
    • W. Freeden, A spline interpolation method for solving boundary value problems of potential theory from discretely given data, Numer. Methods Partial Differential Equations 3 (1987) 375-398.
    • (1987) Numer. Methods Partial Differential Equations , vol.3 , pp. 375-398
    • Freeden, W.1
  • 10
    • 0016656294 scopus 로고
    • Research results in the application of multiquadric equations to surveying and mapping problems
    • R.L. Hardy, Research results in the application of multiquadric equations to surveying and mapping problems, Survg. Mapp. 35 (1975) 321-332.
    • (1975) Survg. Mapp. , vol.35 , pp. 321-332
    • Hardy, R.L.1
  • 11
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method
    • R.L. Hardy, Theory and applications of the multiquadric-biharmonic method, Comput. Math. Appl. 19 (1990) 163-208.
    • (1990) Comput. Math. Appl. , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 14
    • 14944386364 scopus 로고
    • Strictly positive definite kernels on the Hubert sphere
    • V.A. Menegatto, Strictly positive definite kernels on the Hubert sphere, Appl. Anal. 55 (1994) 91-101.
    • (1994) Appl. Anal. , vol.55 , pp. 91-101
    • Menegatto, V.A.1
  • 15
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C.A. Micchelli, Interpolation of scattered data: distance matrices and conditionally positive definite functions, Constr. Approx. 2 (1986) 11-22.
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 16
  • 17
    • 0001134183 scopus 로고
    • Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
    • F.J. Narcowich, Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold, J. Math. Anal. Appl. 190 (1995) 165-193.
    • (1995) J. Math. Anal. Appl. , vol.190 , pp. 165-193
    • Narcowich, F.J.1
  • 18
    • 84968510026 scopus 로고
    • Generalized Hermite interpolation via matrix-valued conditionally positive definite functions
    • F.J. Narcowich and J.D. Ward, Generalized Hermite interpolation via matrix-valued conditionally positive definite functions, Math. Comp. 63 (1994) 661-687.
    • (1994) Math. Comp. , vol.63 , pp. 661-687
    • Narcowich, F.J.1    Ward, J.D.2
  • 20
    • 0001641319 scopus 로고
    • On certain metric spaces arising from Euclidean spaces by a change of metric and their imbedding in Hilbert space
    • I.J. Schoenberg, On certain metric spaces arising from Euclidean spaces by a change of metric and their imbedding in Hilbert space, Ann. of Math. 38 (1937) 787-793.
    • (1937) Ann. of Math. , vol.38 , pp. 787-793
    • Schoenberg, I.J.1
  • 21
    • 84968492782 scopus 로고
    • Metric spaces and positive definite functions
    • I.J. Schoenberg, Metric spaces and positive definite functions, Trans. Amer. Math. Soc. 44 (1938) 522-536.
    • (1938) Trans. Amer. Math. Soc. , vol.44 , pp. 522-536
    • Schoenberg, I.J.1
  • 22
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • I.J. Schoenberg, Metric spaces and completely monotone functions, Ann. of Math. 39 (1938) 811-841.
    • (1938) Ann. of Math. , vol.39 , pp. 811-841
    • Schoenberg, I.J.1
  • 23
    • 0001878701 scopus 로고
    • Positive definite functions on spheres
    • I.J. Schoenberg, Positive definite functions on spheres, Duke Math. J. 9 (1942) 96-108.
    • (1942) Duke Math. J. , vol.9 , pp. 96-108
    • Schoenberg, I.J.1
  • 24
    • 0001558197 scopus 로고
    • Positive definite functions and generalizations, an historical survey
    • J. Stewart, Positive definite functions and generalizations, an historical survey, Rocky Mountain J. Math. 6 (1976) 409-434.
    • (1976) Rocky Mountain J. Math. , vol.6 , pp. 409-434
    • Stewart, J.1
  • 25
    • 21344493132 scopus 로고
    • Scattered Hermite interpolation using radial basis functions
    • X. Sun, Scattered Hermite interpolation using radial basis functions, Linear Algebra Appl. 207 (1994) 135-146.
    • (1994) Linear Algebra Appl. , vol.207 , pp. 135-146
    • Sun, X.1
  • 26
    • 0003362643 scopus 로고
    • Amer. Math. Soc. Colloq. Publ., Amer. Math. Soc., Providence, RI
    • G. Szego, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., Vol. 23 (Amer. Math. Soc., Providence, RI, 1959).
    • (1959) Orthogonal Polynomials , vol.23
    • Szego, G.1
  • 28
    • 0004201980 scopus 로고
    • Princeton University Press, Princeton
    • D.V. Widder, The Laplace Transform (Princeton University Press, Princeton, 1941).
    • (1941) The Laplace Transform
    • Widder, D.V.1
  • 29
    • 51649133223 scopus 로고
    • Hermite-Birkhoff interpolation of scattered data by radial basis functions
    • Z. Wu, Hermite-Birkhoff interpolation of scattered data by radial basis functions, Approx. Theory Appl. 8 (1992) 1-10.
    • (1992) Approx. Theory Appl. , vol.8 , pp. 1-10
    • Wu, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.