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Volumn 20, Issue 4, 1999, Pages 1192-1213

Fast algorithms for periodic spline wavelets on sparse grids

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN SUMS; MULTIVARIATE PERIODIC INTERPOLATION; PERIODIC SPLINE WAVELETS; SPARSE GRIDS;

EID: 0033279290     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827596309098     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 0343056203 scopus 로고
    • A discrete fourier transform scheme for Boolean sums of trigonometric operators
    • C. K. Chui, W. Schempp, and K. Zeller, eds., Birkhäuser, Basel
    • G. BASZENSKI and F. J. DELVOS, A discrete Fourier transform scheme for Boolean sums of trigonometric operators, in Multivariate Approximation Theory IV, C. K. Chui, W. Schempp, and K. Zeller, eds., Birkhäuser, Basel, 1989, pp. 15-24.
    • (1989) Multivariate Approximation Theory , vol.4 , pp. 15-24
    • Baszenski, G.1    Delvos, F.J.2
  • 2
    • 0343056200 scopus 로고
    • Exact reconstruction algorithms for the discrete wavelet transform using spline wavelets
    • T. BERGER and O. STRÖMBERG, Exact reconstruction algorithms for the discrete wavelet transform using spline wavelets, Appl. Comput. Harmon. Anal., 2 (1995), pp. 392-397
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 392-397
    • Berger, T.1    Strömberg, O.2
  • 4
    • 84966249700 scopus 로고
    • On compactly supported spline wavelets and a duality principle
    • C. K. CHUI and J. Z. Wang, On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc., 330 (1992). pp. 903-915.
    • (1992) Trans. Amer. Math. Soc. , vol.330 , pp. 903-915
    • Chui, C.K.1    Wang, J.Z.2
  • 6
    • 84966208627 scopus 로고
    • Interpolation on uniform meshes by translates of one function and related attenuation factors
    • F. LOCHER, Interpolation on uniform meshes by translates of one function and related attenuation factors, Math. Comp., 37 (1981), pp. 403-416.
    • (1981) Math. Comp. , vol.37 , pp. 403-416
    • Locher, F.1
  • 7
    • 0001347330 scopus 로고
    • The approximate computation of multiple integrals
    • N. M. KOROBOV, The approximate computation of multiple integrals, Dokl. Akad. Nauk. SSSR, 124, (1959), pp. 1207-1210.
    • (1959) Dokl. Akad. Nauk. SSSR , vol.124 , pp. 1207-1210
    • Korobov, N.M.1
  • 8
    • 0029196550 scopus 로고
    • On the computation of periodic spline wavelets
    • G. PLONKA and M. TASCHE, On the computation of periodic spline wavelets, Appl. Comput. Harmon. Anal., 2, (1995), pp. 1-14.
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 1-14
    • Plonka, G.1    Tasche, M.2
  • 9
    • 85013503093 scopus 로고
    • A unified approach to periodic wavelets
    • C. K. Chui, L. Montefusco, and L. Puccio, eds., Academic Press, San Diego
    • G. PLONKA and M. TASCHE, A unified approach to periodic wavelets, in Wavelets: Theory, Algorithms and Applications, C. K. Chui, L. Montefusco, and L. Puccio, eds., Academic Press, San Diego, 1994, pp. 137-151.
    • (1994) Wavelets: Theory, Algorithms and Applications , pp. 137-151
    • Plonka, G.1    Tasche, M.2
  • 10
    • 0043240455 scopus 로고    scopus 로고
    • Some error estimates for periodic interpolation on full and sparse grids
    • CAGD, A. L. Méhauté, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
    • G. PÖPLAU and F. SPRENGEL, Some error estimates for periodic interpolation on full and sparse grids, in Curves and Surfaces with Applications in CAGD, A. L. Méhauté, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 1997, pp. 355-362.
    • (1997) Curves and Surfaces with Applications , pp. 355-362
    • Pöplau, G.1    Sprengel, F.2
  • 11
    • 0040108147 scopus 로고
    • Trigonometric interpolation and wavelet decomposition
    • J. PRESTIN and E. QUAK, Trigonometric interpolation and wavelet decomposition, Numer. Algorithms, 9 (1995), pp. 293-318.
    • (1995) Numer. Algorithms , vol.9 , pp. 293-318
    • Prestin, J.1    Quak, E.2
  • 12
    • 77957114359 scopus 로고    scopus 로고
    • Interpolatory and orthonormal trigonometric wavelets
    • J. Zeevi and R. Coifman, eds., Academic Press, San Diego
    • J. PRESTIN and K. SELIG, Interpolatory and orthonormal trigonometric wavelets, in Signal and Image Representation in Combined Spaces, J. Zeevi and R. Coifman, eds., Academic Press, San Diego, 1998, pp. 201-255.
    • (1998) Signal and Image Representation in Combined Spaces , pp. 201-255
    • Prestin, J.1    Selig, K.2
  • 13
    • 0000326721 scopus 로고
    • Cardinal interpolation and spline functions
    • I. J. SCHOENBERG, Cardinal interpolation and spline functions, J. Approx. Theory, 2 (1969), pp. 167-206.
    • (1969) J. Approx. Theory , vol.2 , pp. 167-206
    • Schoenberg, I.J.1
  • 14
    • 0043240454 scopus 로고
    • Multivariate periodic interpolating wavelets
    • S. P. Singh, ed., Kluwer Academic Publishers, Dordrecht
    • F. SPRENGEL, Multivariate periodic interpolating wavelets, in Approximation Theory, Wavelets, and Applications, S. P. Singh, ed., Kluwer Academic Publishers, Dordrecht, 1995, pp. 473-483.
    • (1995) Approximation Theory, Wavelets, and Applications , pp. 473-483
    • Sprengel, F.1
  • 15
    • 0042225909 scopus 로고    scopus 로고
    • Periodic interpolation and wavelets on sparse grids
    • F. SPRENGEL, Periodic interpolation and wavelets on sparse grids, Numer. Algorithms, 17 (1998), pp. 147-169.
    • (1998) Numer. Algorithms , vol.17 , pp. 147-169
    • Sprengel, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.