메뉴 건너뛰기




Volumn 20, Issue 2, 2006, Pages 161-183

Riesz multiwavelet bases

Author keywords

Biorthogonal multiwavelets; Refinable function vectors; Refinable Hermite interpolants; Riesz multiwavelet bases; Smoothness; Vanishing moments

Indexed keywords

ALGORITHMS; COMPUTER GRAPHICS; VECTORS; WAVELET TRANSFORMS;

EID: 33644639556     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2005.10.002     Document Type: Conference Paper
Times cited : (15)

References (32)
  • 1
    • 3142667026 scopus 로고    scopus 로고
    • A new family of spline-based biorthogonal wavelet transforms and their application to image compression
    • A.Z. Averbuch, and V.A. Zheludev A new family of spline-based biorthogonal wavelet transforms and their application to image compression IEEE Trans. Image Process. 13 2004 993 1007
    • (2004) IEEE Trans. Image Process. , vol.13 , pp. 993-1007
    • Averbuch, A.Z.1    Zheludev, V.A.2
  • 4
    • 27844453239 scopus 로고    scopus 로고
    • Matrix-valued symmetric templates for interpolatory surface subdivisions: I. Regular vertices
    • in press
    • C.K. Chui, Q.T. Jiang, Matrix-valued symmetric templates for interpolatory surface subdivisions: I. Regular vertices, Appl. Comput. Harmon. Anal., in press
    • Appl. Comput. Harmon. Anal.
    • Chui, C.K.1    Jiang, Q.T.2
  • 5
    • 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 903 915
    • (1992) Trans. Amer. Math. Soc. , vol.330 , pp. 903-915
    • Chui, C.K.1    Wang, J.Z.2
  • 6
    • 0030502820 scopus 로고    scopus 로고
    • A new technique to estimate the regularity of refinable functions
    • A. Cohen, and I. Daubechies A new technique to estimate the regularity of refinable functions Rev. Mat. Iberoamericana 12 1996 527 591
    • (1996) Rev. Mat. Iberoamericana , vol.12 , pp. 527-591
    • Cohen, A.1    Daubechies, I.2
  • 8
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • W. Dahmen Wavelet and multiscale methods for operator equations Acta Numer. 6 1997 55 228
    • (1997) Acta Numer. , vol.6 , pp. 55-228
    • Dahmen, W.1
  • 9
    • 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
  • 11
    • 33644641333 scopus 로고    scopus 로고
    • Orthogonal multiwavelet constructions: 101 things to do with a hat function
    • Springer Singapore
    • G.C. Donovan, J.S. Geronimo, and D.P. Hardin Orthogonal multiwavelet constructions: 101 things to do with a hat function Advances in Wavelets 1999 Springer Singapore 187 197
    • (1999) Advances in Wavelets , pp. 187-197
    • Donovan, G.C.1    Geronimo, J.S.2    Hardin, D.P.3
  • 12
    • 0003006942 scopus 로고    scopus 로고
    • On dual wavelet tight frames
    • B. Han On dual wavelet tight frames Appl. Comput. Harmon. Anal. 4 1997 380 413
    • (1997) Appl. Comput. Harmon. Anal. , vol.4 , pp. 380-413
    • Han, B.1
  • 13
    • 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
  • 14
    • 0038656688 scopus 로고    scopus 로고
    • Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
    • B. Han Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix J. Comput. Appl. Math. 155 1 2003 43 67
    • (2003) J. Comput. Appl. Math. , vol.155 , Issue.1 , pp. 43-67
    • Han, B.1
  • 15
    • 0242508421 scopus 로고    scopus 로고
    • Vector cascade algorithms and refinable function vectors in Sobolev spaces
    • B. Han Vector cascade algorithms and refinable function vectors in Sobolev spaces J. Approx. Theory 124 2003 44 88
    • (2003) J. Approx. Theory , vol.124 , pp. 44-88
    • Han, B.1
  • 16
    • 33644639032 scopus 로고    scopus 로고
    • On a conjecture about MRA Riesz wavelet basis
    • in press
    • B. Han, On a conjecture about MRA Riesz wavelet basis, Proc. Amer. Math. Soc., in press
    • Proc. Amer. Math. Soc.
    • Han, B.1
  • 17
    • 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 1177 1199
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1177-1199
    • Han, B.1    Jia, R.Q.2
  • 19
    • 0037212169 scopus 로고    scopus 로고
    • Multiwavelet frames from refinable function vectors
    • B. Han, and Q. Mo Multiwavelet frames from refinable function vectors Adv. Comput. Math. 18 2003 211 245
    • (2003) Adv. Comput. Math. , vol.18 , pp. 211-245
    • Han, B.1    Mo, Q.2
  • 22
    • 5644297306 scopus 로고    scopus 로고
    • Multivariate refinable Hermite interpolants
    • B. Han, T. Yu, and B. Piper Multivariate refinable Hermite interpolants Math. Comp. 73 2004 1913 1935
    • (2004) Math. Comp. , vol.73 , pp. 1913-1935
    • Han, B.1    Yu, T.2    Piper, B.3
  • 24
    • 33745649909 scopus 로고    scopus 로고
    • Wavelet basis of Hermite cubic splines on the interval
    • in press
    • R.Q. Jia, S.T. Liu, Wavelet basis of Hermite cubic splines on the interval, Adv. Comput. Math., in press
    • Adv. Comput. Math.
    • Jia, R.Q.1    Liu, S.T.2
  • 25
    • 0346878763 scopus 로고    scopus 로고
    • Approximation power of refinable vectors of functions
    • Wavelet Analysis and Applications, Guangzhou, 1999 Amer. Math. Soc. Providence, RI
    • R.Q. Jia, and Q.T. Jiang Approximation power of refinable vectors of functions Wavelet Analysis and Applications Guangzhou, 1999 AMS/IP Stud. Adv. Math. vol. 25 2002 Amer. Math. Soc. Providence, RI 155 178
    • (2002) AMS/IP Stud. Adv. Math. , vol.25 , pp. 155-178
    • Jia, R.Q.1    Jiang, Q.T.2
  • 26
    • 0142200354 scopus 로고    scopus 로고
    • Spectral analysis of the transition operators and its applications to smoothness analysis of wavelets
    • R.Q. Jia, and Q.T. Jiang Spectral analysis of the transition operators and its applications to smoothness analysis of wavelets SIAM J. Matrix Anal. Appl. 24 2003 1071 1109
    • (2003) SIAM J. Matrix Anal. Appl. , vol.24 , pp. 1071-1109
    • Jia, R.Q.1    Jiang, Q.T.2
  • 27
    • 0002888350 scopus 로고
    • Using the refinement equation for the construction of pre-wavelets II: Power of two
    • P.J. Laurent A. Le Méhauté L.L. Schumaker Academic Press New York
    • R.Q. Jia, and C.A. Micchelli Using the refinement equation for the construction of pre-wavelets II: Power of two P.J. Laurent A. Le Méhauté L.L. Schumaker Curves and Surfaces 1991 Academic Press New York 209 246
    • (1991) Curves and Surfaces , pp. 209-246
    • Jia, R.Q.1    Micchelli, C.A.2
  • 28
    • 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 1533 1563
    • (1998) Math. Comp. , vol.67 , pp. 1533-1563
    • Jia, R.Q.1    Riemenschneider, S.D.2    Zhou, D.X.3
  • 29
    • 0242497084 scopus 로고    scopus 로고
    • Compactly supported wavelet bases for Sobolev spaces
    • R.Q. Jia, J.Z. Wang, and D.X. Zhou Compactly supported wavelet bases for Sobolev spaces Appl. Comput. Harmon. Anal. 15 2003 224 241
    • (2003) Appl. Comput. Harmon. Anal. , vol.15 , pp. 224-241
    • Jia, R.Q.1    Wang, J.Z.2    Zhou, D.X.3
  • 31
    • 0038232874 scopus 로고    scopus 로고
    • Criteria for hierarchical bases in Sobolev spaces
    • R. Lorentz, and P. Oswald Criteria for hierarchical bases in Sobolev spaces Appl. Comput. Harmon. Anal. 8 2000 32 85
    • (2000) Appl. Comput. Harmon. Anal. , vol.8 , pp. 32-85
    • Lorentz, R.1    Oswald, P.2
  • 32
    • 0141991898 scopus 로고    scopus 로고
    • Convergence of cascade algorithms and smoothness of refinable distributions
    • Q.Y. Sun Convergence of cascade algorithms and smoothness of refinable distributions Chinese Ann. Math. Ser. B 24 2003 367 386
    • (2003) Chinese Ann. Math. Ser. B , vol.24 , pp. 367-386
    • Sun, Q.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.