메뉴 건너뛰기




Volumn 49, Issue 1, 2006, Pages 86-97

Raising approximation order of refinable vector by increasing multiplicity

Author keywords

Approximation order; Multiscaling functions; Orthogonal; Symmetry

Indexed keywords


EID: 33344473250     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-005-0040-2     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 0024699807 scopus 로고
    • Perfect reconstruction FIR filter banks: Some properties and factorization
    • Vetterli, M., Perfect reconstruction FIR filter banks: Some properties and factorization, IEEE Trans. Acoust. Speech Signal Process., 1989, 37: 1057-1071.
    • (1989) IEEE Trans. Acoust. Speech Signal Process. , vol.37 , pp. 1057-1071
    • Vetterli, M.1
  • 2
    • 0033632293 scopus 로고    scopus 로고
    • Convergence of subdivision schemes associated with nonnegative masks
    • Jia, R. Q., Zhou, D. X., Convergence of subdivision schemes associated with nonnegative masks, SIAM J. Matrix Anal. Appl., 1999, 21: 418-430.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 418-430
    • Jia, R.Q.1    Zhou, D.X.2
  • 3
    • 0032344506 scopus 로고    scopus 로고
    • Multivariate refinement equations and convergence of subdivision schemes
    • Han, B., Jia, R. Q., Multivariate refinement equations and convergence of subdivision schemes, SIAM J. Math. Anal., 1998, 29: 1177-1199.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1177-1199
    • Han, B.1    Jia, R.Q.2
  • 4
    • 0242508421 scopus 로고    scopus 로고
    • Vector cascade algorithms and refinable function vectors in Sobolev spaces
    • Han, B., Vector cascade algorithms and refinable function vectors in Sobolev spaces, J. Approx. Theory, 2003, 124: 44-88.
    • (2003) J. Approx. Theory , vol.124 , pp. 44-88
    • Han, B.1
  • 5
    • 0037212169 scopus 로고    scopus 로고
    • Multiwavelet frames from refinable function vectors
    • Han, B., Mo, Q., Multiwavelet frames from refinable function vectors, Adv.Comp. Math., 2003, 18: 211-245.
    • (2003) Adv.Comp. Math. , vol.18 , pp. 211-245
    • Han, B.1    Mo, Q.2
  • 6
    • 0036504238 scopus 로고    scopus 로고
    • Interpolatory orthogonal multiwavelets and refinable functions
    • Zhou, D. X., Interpolatory orthogonal multiwavelets and refinable functions, IEEE Trans. Signal Process, 2002, 50: 520-527.
    • (2002) IEEE Trans. Signal Process , vol.50 , pp. 520-527
    • Zhou, D.X.1
  • 7
    • 0030103777 scopus 로고    scopus 로고
    • A study on orthonormal multiwavelets
    • Chui, C. K., Lian, J. A., A study on orthonormal multiwavelets, J. Appl. Numer. Math., 1996, 20: 273-298.
    • (1996) J. Appl. Numer. Math. , vol.20 , pp. 273-298
    • Chui, C.K.1    Lian, J.A.2
  • 8
    • 33748455361 scopus 로고    scopus 로고
    • Orthonormal multi-wavelets on the interval [0, 1] with multiptiplicity r
    • Yang, S. Z., Cheng, Z. X., Orthonormal multi-wavelets on the interval [0, 1] with multiptiplicity r, Acta Mathematica Sinica(in Chinese), 2002, 45: 789-796.
    • (2002) Acta Mathematica Sinica(in Chinese) , vol.45 , pp. 789-796
    • Yang, S.Z.1    Cheng, Z.X.2
  • 9
    • 0036953226 scopus 로고    scopus 로고
    • Construction of biorthogonal multiwavelets
    • Yang, S. Z., Cheng, Z. X., Wang, H. Y., Construction of biorthogonal multiwavelets, J. Math. Anal. Appl., 2002, 276: 1-12.
    • (2002) J. Math. Anal. Appl. , vol.276 , pp. 1-12
    • Yang, S.Z.1    Cheng, Z.X.2    Wang, H.Y.3
  • 10
    • 33747341559 scopus 로고    scopus 로고
    • A fast algorithm for constructing orthogonal multiwavelets
    • Yang, S. Z., A fast algorithm for constructing orthogonal multiwavelets, ANZIAM Journal, 2004, 46: 185-202.
    • (2004) ANZIAM Journal , vol.46 , pp. 185-202
    • Yang, S.Z.1
  • 11
    • 0346207045 scopus 로고    scopus 로고
    • On the order of polynomial reproduction for multi-scaling functions
    • Lian, J. A., On the order of polynomial reproduction for multi-scaling functions, Appl. Comp. Harm. Anal., 1996, 3: 358-365.
    • (1996) Appl. Comp. Harm. Anal. , vol.3 , pp. 358-365
    • Lian, J.A.1
  • 12
    • 0031515609 scopus 로고    scopus 로고
    • Approximation order provided by refinable function vectors
    • Plonka, G., Approximation order provided by refinable function vectors, Constr. Approx., 1997, 13: 221-244.
    • (1997) Constr. Approx. , vol.13 , pp. 221-244
    • Plonka, G.1
  • 13
    • 0032378676 scopus 로고    scopus 로고
    • Construction of multiscaling functions with approximation and symmetry
    • Plonka, G., Strela, V., Construction of multiscaling functions with approximation and symmetry, SIAM J. Math. Anal. Appl., 1998, 29: 481-510.
    • (1998) SIAM J. Math. Anal. Appl. , vol.29 , pp. 481-510
    • Plonka, G.1    Strela, V.2
  • 14
    • 0035424152 scopus 로고    scopus 로고
    • A novel design of lifting scheme from general wavelet
    • Li, H. G., Wang, Q., Wu, L. N., A novel design of lifting scheme from general wavelet, IEEE Trans. Signal Process., 2001, 49: 1714-1717.
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 1714-1717
    • Li, H.G.1    Wang, Q.2    Wu, L.N.3
  • 15
    • 0035538184 scopus 로고    scopus 로고
    • Raising Multiwavelet Approximation Order Through Lifting
    • Fritz, K., Raising Multiwavelet Approximation Order Through Lifting, SIAM J. Math. Anal., 2001, 32: 1032-1049.
    • (2001) SIAM J. Math. Anal. , vol.32 , pp. 1032-1049
    • Fritz, K.1
  • 16
    • 0002948743 scopus 로고    scopus 로고
    • Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities
    • He, W. J., Lai, M. J., Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities, Appl. Comput. Harmon. Anal., 1999, 6: 53-74.
    • (1999) Appl. Comput. Harmon. Anal. , vol.6 , pp. 53-74
    • He, W.J.1    Lai, M.J.2
  • 17
    • 0003030394 scopus 로고    scopus 로고
    • Accuracy of lattice translates of several multidimensional refinable functions
    • Cabrelli, C., Heil, C., Molter, U., Accuracy of lattice translates of several multidimensional refinable functions, J. Approx. Theory, 1996, 95: 5-52.
    • (1996) J. Approx. Theory , vol.95 , pp. 5-52
    • Cabrelli, C.1    Heil, C.2    Molter, U.3
  • 18
    • 0032656255 scopus 로고    scopus 로고
    • The application of multiwavelet filterbanks to image processing
    • Strela, V., Heller, P. N., Strang, G. et al., The application of multiwavelet filterbanks to image processing, IEEE Trans.Image Process., 1999, 8: 548-563.
    • (1999) IEEE Trans.Image Process. , vol.8 , pp. 548-563
    • Strela, V.1    Heller, P.N.2    Strang, G.3
  • 19
    • 0042328309 scopus 로고    scopus 로고
    • Parameterization and algebraic structure of 3-band orthogonal wavelet systems
    • Peng, L. Z., Wang, Y. G., Parameterization and algebraic structure of 3-band orthogonal wavelet systems, Sci. China Ser. A, 2001, 44: 1531-1543.
    • (2001) Sci. China Ser. A , vol.44 , pp. 1531-1543
    • Peng, L.Z.1    Wang, Y.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.