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Volumn 167, Issue 2, 2005, Pages 901-918

A method of construction for biorthogonal multiwavelets system with 2r multiplicity

Author keywords

Biorthogonal multiwavelets system; Hermit interpolant; Mask; Short support; Sum rules; Vanishing moments

Indexed keywords

FUNCTIONS; INTERPOLATION; MASKS; MATHEMATICAL TECHNIQUES;

EID: 25144496553     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.116     Document Type: Article
Times cited : (13)

References (21)
  • 2
    • 0029207792 scopus 로고
    • Short wavelets and matrix dilation equations
    • G. Strang, and V. Strela Short wavelets and matrix dilation equations IEEE Trans. Signal Process. 43 1995 108 115
    • (1995) IEEE Trans. Signal Process. , vol.43 , pp. 108-115
    • Strang, G.1    Strela, V.2
  • 3
    • 0030560155 scopus 로고    scopus 로고
    • Construction of orthogonal wavelets using fractal interpolution functions
    • G.C. Donovan, J. Geronimo, and D.P. Hardin Construction of orthogonal wavelets using fractal interpolution functions SIAM J. Math. Anal. 27 1996 1158 1192
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1158-1192
    • Donovan, G.C.1    Geronimo, J.2    Hardin, D.P.3
  • 4
    • 0030103777 scopus 로고    scopus 로고
    • A study of orthogonal multiwavelets
    • C.K. Chui, and J. Lian A study of orthogonal multiwavelets Appl. Numer. Math. 20 1996 273 298
    • (1996) Appl. Numer. Math. , vol.20 , pp. 273-298
    • Chui, C.K.1    Lian, J.2
  • 5
    • 0030371493 scopus 로고    scopus 로고
    • An algorithm for matrix extension and wavelet construction
    • W. Lawton, S.L. Lee, and Z.W. Shen An algorithm for matrix extension and wavelet construction Math. Comput. 65 1996 723 737
    • (1996) Math. Comput. , vol.65 , pp. 723-737
    • Lawton, W.1    Lee, S.L.2    Shen, Z.W.3
  • 6
    • 0032378676 scopus 로고    scopus 로고
    • Construction of multiscaling functions with approximation and symmetry
    • G. Plonka, and V. Strela Construction of multiscaling functions with approximation and symmetry SIAM J. MAth. Anal. 29 1998 481 510
    • (1998) SIAM J. MAth. Anal. , vol.29 , pp. 481-510
    • Plonka, G.1    Strela, V.2
  • 7
  • 8
    • 33747802779 scopus 로고    scopus 로고
    • Multiwavelet bases with extra approximation properties
    • I.W. Selesnick Multiwavelet bases with extra approximation properties IEEE Trans. Signal Process. 46 1998 2998 3021
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 2998-3021
    • Selesnick, I.W.1
  • 9
    • 0032294370 scopus 로고    scopus 로고
    • On the design of multifilter banks and orthonormal multiwavelet bases
    • Q.T. Jiang On the design of multifilter banks and orthonormal multiwavelet bases IEEE Trans. Signal Process. 46 1998 3292 3303
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 3292-3303
    • Jiang, Q.T.1
  • 10
    • 0000251544 scopus 로고    scopus 로고
    • Matrix extension and biorthogonal multiwavelets construction
    • S.S. Goh, and V.B. Yap Matrix extension and biorthogonal multiwavelets construction Linear Algebra Appl. 269 1998 139 157
    • (1998) Linear Algebra Appl. , vol.269 , pp. 139-157
    • Goh, S.S.1    Yap, V.B.2
  • 12
    • 0008850274 scopus 로고    scopus 로고
    • Construction of biorthogonal multiwavelets using the lifting scheme
    • S.S. Goh, Q.T. Jiang, and T. Xia Construction of biorthogonal multiwavelets using the lifting scheme Appl. Comput. Harmon. Anal. 9 2000 336 352
    • (2000) Appl. Comput. Harmon. Anal. , vol.9 , pp. 336-352
    • Goh, S.S.1    Jiang, Q.T.2    Xia, T.3
  • 13
    • 0034354827 scopus 로고    scopus 로고
    • Biorthogonal multiwavelets on the interval: Cubic Hermite splines
    • W. Dahmen, B. Han, R.Q. Jia, and A. Kunoth Biorthogonal multiwavelets on the interval: cubic Hermite splines Constr. Approx. 16 2000 221 259
    • (2000) Constr. Approx. , vol.16 , pp. 221-259
    • Dahmen, W.1    Han, B.2    Jia, R.Q.3    Kunoth, A.4
  • 14
    • 0035507813 scopus 로고    scopus 로고
    • Design of interpolating biorthogonal multiwavelet system with compact support on the construction of biorthogonal
    • J.K. Zhang, T.N. Davidson, Z.Q. Luo, and K.M. Wong Design of interpolating biorthogonal multiwavelet system with compact support on the construction of biorthogonal Appl. Comput. Harmon. Anal. 11 2001 420 438
    • (2001) Appl. Comput. Harmon. Anal. , vol.11 , pp. 420-438
    • Zhang, J.K.1    Davidson, T.N.2    Luo, Z.Q.3    Wong, K.M.4
  • 16
    • 0041407181 scopus 로고    scopus 로고
    • Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets
    • B. Han Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets J. Approx. Theory 110 2001 18 53
    • (2001) J. Approx. Theory , vol.110 , pp. 18-53
    • Han, B.1
  • 17
    • 0031517016 scopus 로고    scopus 로고
    • Biorthogonal wavelet expansions
    • W. Dahmen, and C.A. Micchelli Biorthogonal wavelet expansions Constr. Approx. 13 1997 293 328
    • (1997) Constr. Approx. , vol.13 , pp. 293-328
    • Dahmen, W.1    Micchelli, C.A.2
  • 19
    • 0030526693 scopus 로고    scopus 로고
    • Approximation by translates of refinable functions
    • C. Heil, G. Strang, and V. Strela Approximation by translates of refinable functions Numer. Math. 73 1996 75 94
    • (1996) Numer. Math. , vol.73 , pp. 75-94
    • Heil, C.1    Strang, G.2    Strela, V.3
  • 20
    • 0013170163 scopus 로고    scopus 로고
    • Convergence of vector subdivision schemes and construction of multiple biorthogonal wavelets
    • K.S. Lau Springer-Verlag Berlin
    • R.Q. Jia Convergence of vector subdivision schemes and construction of multiple biorthogonal wavelets K.S. Lau Advances in Wavelet 1998 Springer-Verlag Berlin 189 216
    • (1998) Advances in Wavelet , pp. 189-216
    • Jia, R.Q.1
  • 21
    • 23044518620 scopus 로고    scopus 로고
    • Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
    • D.R. Chen, B. Han, and S.D. Riemenschneider Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments Adv. Comput. Math. 13 2000 31 165
    • (2000) Adv. Comput. Math. , vol.13 , pp. 31-165
    • Chen, D.R.1    Han, B.2    Riemenschneider, S.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.