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Volumn 53, Issue 1, 2005, Pages 240-251

Optimizing the multiwavelet shrinkage denoising

Author keywords

Multiwavelet; Parameter estimation; Prefilter; Smoothing methods; Wavelet transforms; White noise

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATRIX ALGEBRA; OPTIMIZATION; PARAMETER ESTIMATION; WAVELET TRANSFORMS; WHITE NOISE;

EID: 11844279088     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2004.838927     Document Type: Article
Times cited : (33)

References (24)
  • 3
    • 0026686049 scopus 로고
    • "Singularity detection and processing with wavelets"
    • Mar
    • S. Mallat and W. L. Hwang, "Singularity detection and processing with wavelets," IEEE Trans. Inform. Theory, vol. 38, pp. 617-643, Mar. 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 617-643
    • Mallat, S.1    Hwang, W.L.2
  • 4
    • 0041958932 scopus 로고
    • "Ideal spatial adaptation via wavelet shrinkage"
    • D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation via wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 5
    • 0029307534 scopus 로고
    • "De-noising by soft-thresholding"
    • May
    • D. L. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inf. Theory, vol. 41, pp. 613-627, May 1995.
    • (1995) IEEE Trans. Inf. Theory , vol.41 , pp. 613-627
    • Donoho, D.L.1
  • 6
    • 84950459514 scopus 로고
    • "Adapting to unknown smoothness via wavelet shrinkage"
    • D. Donoho, "Adapting to unknown smoothness via wavelet shrinkage," J. Amer. Statist. Assoc., vol. 90, 1995.
    • (1995) J. Amer. Statist. Assoc. , vol.90
    • Donoho, D.1
  • 7
    • 0001544864 scopus 로고
    • "Fractal functions and wavelet expansions based on several scaling functions"
    • J. S. Geronimo, D. P. Hardin, and P. R. Massopust, "Fractal functions and wavelet expansions based on several scaling functions," J. Approximation Theory, vol. 78, pp. 373-401, 1994.
    • (1994) J. Approximation Theory , vol.78 , pp. 373-401
    • Geronimo, J.S.1    Hardin, D.P.2    Massopust, P.R.3
  • 8
    • 0030103777 scopus 로고    scopus 로고
    • "A study of orthonormal multi-wavelets"
    • C. K. Chui and J.-A. Lian, "A study of orthonormal multi-wavelets," Applied Numer. Math., vol. 20, pp. 273-298, 1996.
    • (1996) Applied Numer. Math. , vol.20 , pp. 273-298
    • Chui, C.K.1    Lian, J.-A.2
  • 9
    • 0029207792 scopus 로고
    • "Short wavelets and matrix dilation equations"
    • Jan
    • G. Strang, "Short wavelets and matrix dilation equations," IEEE Trans. Signal Process., vol. 43, pp. 108-115, Jan. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , pp. 108-115
    • Strang, G.1
  • 11
    • 0032166553 scopus 로고    scopus 로고
    • "The discrete multiple wavelet transform and thresholding methods"
    • Sep
    • T. R. Downie and B. W. Silverman, "The discrete multiple wavelet transform and thresholding methods," IEEE Trans. Signal Process., vol. 46, pp. 2558-2561, Sep. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 2558-2561
    • Downie, T.R.1    Silverman, B.W.2
  • 12
    • 0032300687 scopus 로고    scopus 로고
    • "Translation-invariant denoising using multiwavelet"
    • Dec
    • T. D. Bui and G. Chen, "Translation-invariant denoising using multiwavelet," IEEE Trans. Signal Process., vol. 46, pp. 3414-3420, Dec. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 3414-3420
    • Bui, T.D.1    Chen, G.2
  • 14
    • 0032097252 scopus 로고    scopus 로고
    • "A new prefilter design for discrete multiwavelet transforms"
    • Jun
    • X.-G. Xia, "A new prefilter design for discrete multiwavelet transforms," IEEE Trans. Signal Process., vol. 46, pp. 1558-1570, Jun. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 1558-1570
    • Xia, X.-G.1
  • 15
    • 0035447404 scopus 로고    scopus 로고
    • "High-order balanced multiwavelets: Theory, factorization, and design"
    • Sep
    • J. Lebrun and M. Vetterli, "High-order balanced multiwavelets: Theory, factorization, and design," IEEE Trans. Signal Process., vol. 49, pp. 1918-1930, Sep. 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 1918-1930
    • Lebrun, J.1    Vetterli, M.2
  • 16
    • 0000961115 scopus 로고
    • "Approximation properties of multiscaling functions: A fourier approach"
    • G. Plonka, "Approximation properties of multiscaling functions: A fourier approach," Rostocker Mathematische Kolloquium, vol. 49, pp. 115-126, 1995.
    • (1995) Rostocker Mathematische Kolloquium , vol.49 , pp. 115-126
    • Plonka, G.1
  • 17
    • 0031515609 scopus 로고    scopus 로고
    • "Approximation order provided by refinable function vectors"
    • G. Plonka, "Approximation order provided by refinable function vectors," Constructive Approx., vol. 13, pp. 221-244, 1997.
    • (1997) Constructive Approx. , vol.13 , pp. 221-244
    • Plonka, G.1
  • 18
    • 0032670562 scopus 로고    scopus 로고
    • "Design of orthogonal prefilter with the strang-fix condition"
    • Jan
    • Y. Xinxing, J. Licheng, and Z. Jiankang, "Design of orthogonal prefilter with the strang-fix condition," Electron. Lett., vol. 35, no. 2, pp. 117-119, Jan. 1999.
    • (1999) Electron. Lett. , vol.35 , Issue.2 , pp. 117-119
    • Xinxing, Y.1    Licheng, J.2    Jiankang, Z.3
  • 19
    • 0032142599 scopus 로고    scopus 로고
    • "Multiwavelet prefilters -I: Orthogonal prefilters preserving approximation order p ≤ 2"
    • Aug
    • D. P. Hardin and D. W. Roach, "Multiwavelet prefilters -I: Orthogonal prefilters preserving approximation order p ≤ 2," IEEE Trans. Circuits Syst. II, vol. 45, no. 8, pp. 1106-1112, Aug. 1998.
    • (1998) IEEE Trans. Circuits Syst. II , vol.45 , Issue.8 , pp. 1106-1112
    • Hardin, D.P.1    Roach, D.W.2
  • 20
    • 0035473725 scopus 로고    scopus 로고
    • "Multiwavelet prefilters - Part II: Optimal orthogonal prefilters"
    • Oct
    • K. Attakitmongcol, D. P. Hardin, and D. M. Wilkes, "Multiwavelet prefilters - Part II: Optimal orthogonal prefilters," IEEE Trans. Image Process., vol. 10, pp. 1476-1487, Oct. 2001
    • (2001) IEEE Trans. Image Process. , vol.10 , pp. 1476-1487
    • Attakitmongcol, K.1    Hardin, D.P.2    Wilkes, D.M.3
  • 21
    • 0036448055 scopus 로고    scopus 로고
    • "Applications of multiwavelet techniques to image denoising"
    • New York, Sep. 22-25
    • E. Bala and A. Ertuzun, "Applications of multiwavelet techniques to image denoising," in Proc. IEEE Int. Conf. Image Process., vol. 3, New York, Sep. 22-25, 2002, pp. 581-584.
    • (2002) Proc. IEEE Int. Conf. Image Process. , vol.3 , pp. 581-584
    • Bala, E.1    Ertuzun, A.2
  • 22
    • 0030682936 scopus 로고    scopus 로고
    • "Generalized cross validation for wavelet thresholding"
    • Jan
    • M. Jansen, M. Malfait, and A. Bultheel, "Generalized cross validation for wavelet thresholding," Signal Process., vol. 56, no. 1, pp. 33-44, Jan. 1997
    • (1997) Signal Process. , vol.56 , Issue.1 , pp. 33-44
    • Jansen, M.1    Malfait, M.2    Bultheel, A.3
  • 23
    • 0033438951 scopus 로고    scopus 로고
    • "Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets"
    • G. C. Donovan, J. S. Geronimo, and D. P. Hardin, "Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets," SIAM J. Mathematical Anal., vol. 30, no. 5, pp. 1029-1056, 1998.
    • (1998) SIAM J. Mathematical Anal. , vol.30 , Issue.5 , pp. 1029-1056
    • Donovan, G.C.1    Geronimo, J.S.2    Hardin, D.P.3
  • 24
    • 0040745989 scopus 로고    scopus 로고
    • "Intertwining multiresolution analysis and the construction of piecewise polynomial wavelets"
    • G. C. Donovan, "Intertwining multiresolution analysis and the construction of piecewise polynomial wavelets," SIAM J. Math. Anal. vol. 27, no. 6, pp. 1791-1815, 1996.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.6 , pp. 1791-1815
    • Donovan, G.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.