메뉴 건너뛰기




Volumn 40, Issue 4, 2002, Pages 1354-1368

Construction of smooth refinable function vectors by cascade algorithms

Author keywords

Cascade algorithm; Factorization of mask; Joint spectral radius; Refinable function vector; Sobolev space

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; VECTORS;

EID: 0141757450     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142901392614     Document Type: Article
Times cited : (9)

References (20)
  • 2
    • 0011935003 scopus 로고    scopus 로고
    • Algebraic properties of subdivision operators with matrix mask and their applications
    • D. R. CHEN, Algebraic properties of subdivision operators with matrix mask and their applications, J. Approx. Theory, 97 (1999), pp. 294-310.
    • (1999) J. Approx. Theory , vol.97 , pp. 294-310
    • Chen, D.R.1
  • 4
    • 0036899407 scopus 로고    scopus 로고
    • Convergence of cascade algorithms in Sobolev space for perturbed refinement masks
    • to appear
    • D. R. CHEN AND G. PLONKA, Convergence of cascade algorithms in Sobolev space for perturbed refinement masks, J. Approx. Theory, to appear.
    • J. Approx. Theory
    • Chen, D.R.1    Plonka, G.2
  • 7
    • 0000364986 scopus 로고
    • Two-scale difference equations I. Existence and global regularity of solutions
    • I. DAUBECHIES AND J. C. LAGARIAS, Two-scale difference equations I. Existence and global regularity of solutions, SIAM J. Math. Anal., 22 (1991), pp. 1388-1410.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1388-1410
    • Daubechies, I.1    Lagarias, J.C.2
  • 8
    • 0030560155 scopus 로고    scopus 로고
    • Construction of orthogonal wavelets using fractal interpolation functions
    • G. C. DONOVAN, J. S. GERONIMO. D. P. HARDIN, AND P. R. MASSOPUST, Construction of orthogonal wavelets using fractal interpolation functions, SIAM J. Math. Anal, 27 (1996), pp. 1158-1192.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1158-1192
    • Donovan, G.C.1    Geronimo, J.S.2    Hardin, D.P.3    Massopust, P.R.4
  • 9
    • 0002747280 scopus 로고    scopus 로고
    • Convergence of cascade algorithms
    • M. Daehlen, T. Lyche, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
    • T. N. T. GOODMAN AND S. L. LEE, Convergence of cascade algorithms, in Mathematical Methods for Curves and Surfaces II, M. Daehlen, T. Lyche, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 1998, pp. 191-212.
    • (1998) Mathematical Methods for Curves and Surfaces II , pp. 191-212
    • Goodman, T.N.T.1    Lee, S.L.2
  • 10
    • 0032344506 scopus 로고    scopus 로고
    • Multivariate refinement equations and convergence of subdivision schemes
    • B. HAN AND R.-Q. JIA, Multivariate refinement equations and convergence of subdivision schemes, SIAM J. Math. Anal., 29 (1998), pp. 1177-1199.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1177-1199
    • Han, B.1    Jia, R.-Q.2
  • 12
    • 0036017089 scopus 로고    scopus 로고
    • Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets
    • R. Q. JIA, Q. T. JIANG, AND S. L. LEE, Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets, Numer. Math., 91 (2002), pp. 453-473.
    • (2002) Numer. Math. , vol.91 , pp. 453-473
    • Jia, R.Q.1    Jiang, Q.T.2    Lee, S.L.3
  • 13
    • 0031372974 scopus 로고    scopus 로고
    • Approximation by multiple refinable functions
    • R. Q. JIA, S. D. RIEMENSCHNEIDER, AND D. X. ZHOU, Approximation by multiple refinable functions, Canad. J. Math., 49 (1998), pp. 944-962.
    • (1998) Canad. J. Math. , vol.49 , pp. 944-962
    • Jia, R.Q.1    Riemenschneider, S.D.2    Zhou, D.X.3
  • 14
    • 0032384592 scopus 로고    scopus 로고
    • Vector subdivision schemes and multiple wavelets
    • R. Q. JIA, S. D. RIEMENSCHNEIDER, AND D. X. ZHOU, Vector subdivision schemes and multiple wavelets, Math. Comp., 67 (1998), pp. 1533-1563.
    • (1998) Math. Comp. , vol.67 , pp. 1533-1563
    • Jia, R.Q.1    Riemenschneider, S.D.2    Zhou, D.X.3
  • 15
    • 21744462344 scopus 로고    scopus 로고
    • Regularity of multiwavelets
    • C. A. MICCHELLI AND T. SAUER, Regularity of multiwavelets, Adv. Comp. Math., 7 (1997), pp. 455-545.
    • (1997) Adv. Comp. Math. , vol.7 , pp. 455-545
    • Micchelli, C.A.1    Sauer, T.2
  • 16
    • 0031515609 scopus 로고    scopus 로고
    • Approximation order provided by refinable function vectors
    • G. PLONKA, Approximation order provided by refinable function vectors, Constr. Approx., 13 (1997), pp. 221-244.
    • (1997) Constr. Approx. , vol.13 , pp. 221-244
    • Plonka, G.1
  • 17
    • 0040374496 scopus 로고    scopus 로고
    • A new factorization technique of matrix mask of univariate refinable functions
    • G. PLONKA AND A. RON, A new factorization technique of matrix mask of univariate refinable functions, Numer. Math., 87 (2001), pp. 555-595.
    • (2001) Numer. Math. , vol.87 , pp. 555-595
    • Plonka, G.1    Ron, A.2
  • 18
    • 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), pp. 481-510.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 481-510
    • Plonka, G.1    Strela, V.2
  • 19
    • 0000719845 scopus 로고
    • A note on the joint spectral radius
    • G.-C. ROTA AND G. STRANG, A note on the joint spectral radius, Indag. Math., 22 (1960), pp. 379-381.
    • (1960) Indag. Math. , vol.22 , pp. 379-381
    • Rota, G.-C.1    Strang, G.2
  • 20
    • 0002892060 scopus 로고    scopus 로고
    • Two scale dilation equations and the mean spectral radius
    • Y. WANG, Two scale dilation equations and the mean spectral radius, Random Comput. Dynam., 4 (1996), pp. 49-72.
    • (1996) Random Comput. Dynam. , vol.4 , pp. 49-72
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.