메뉴 건너뛰기




Volumn 106, Issue 4, 2007, Pages 529-587

Deconvolution: A wavelet frame approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34249880413     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0075-0     Document Type: Article
Times cited : (86)

References (34)
  • 1
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms I
    • Beylkin, G., Coifman, R., Rokhlin, V.: Fast wavelet transforms and numerical algorithms I. Comm. Pure Appl. Math. 44, 141-183 (1991)
    • (1991) Comm. Pure Appl. Math , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 2
    • 21344488909 scopus 로고
    • On the construction of multivariate (Pre)wavelet
    • de Boor, C., DeVore. R., Ron. A.: On the construction of multivariate (Pre)wavelet. Constr. Approx. 9, 123-166 (1993)
    • (1993) Constr. Approx , vol.9 , pp. 123-166
    • de Boor, C.1    DeVore, R.2    Ron, A.3
  • 3
  • 4
    • 3042560387 scopus 로고    scopus 로고
    • Bi-framelet systems with few vanishing moments characterize Besov spaces
    • Borup, L., Grivonbal, R., Nielsen, M.: Bi-framelet systems with few vanishing moments characterize Besov spaces. Appl. Comput. Hormon. Anal. 17, 3-28 (2004)
    • (2004) Appl. Comput. Hormon. Anal , vol.17 , pp. 3-28
    • Borup, L.1    Grivonbal, R.2    Nielsen, M.3
  • 6
    • 85140868758 scopus 로고    scopus 로고
    • Chan, R., Chan, T., Shen, L., Shen, Z.: Wavelet algorithms for high-resolution image reconstruction. SIAM J. Sci. Comput. 24(4), 1408-1432 (2003)
    • Chan, R., Chan, T., Shen, L., Shen, Z.: Wavelet algorithms for high-resolution image reconstruction. SIAM J. Sci. Comput. 24(4), 1408-1432 (2003)
  • 7
    • 0037409762 scopus 로고    scopus 로고
    • Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction
    • Chan, R., Chan, T., Shen, L., Shen, Z.: Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Linear Algebra Appl. 366, 139-155 (2003)
    • (2003) Linear Algebra Appl , vol.366 , pp. 139-155
    • Chan, R.1    Chan, T.2    Shen, L.3    Shen, Z.4
  • 8
    • 3042562034 scopus 로고    scopus 로고
    • Chan, R.. Riemenschneider. S., Shen, L., Shen, Z.: Tight frame: the efficient way for high-resolution image reconstruction. Appl. Comput. Harmon. Anal. 17, 91-115 (2004)
    • Chan, R.. Riemenschneider. S., Shen, L., Shen, Z.: Tight frame: the efficient way for high-resolution image reconstruction. Appl. Comput. Harmon. Anal. 17, 91-115 (2004)
  • 9
    • 6344231377 scopus 로고    scopus 로고
    • High-resolution image reconstruction with displacement errors: A frame approach
    • Chan, R., Riemenschneider, S., Shen, L., Shen, Z.: High-resolution image reconstruction with displacement errors: a frame approach. Int. J. Imaging Syst. Technol. 14, 91-104 (2004)
    • (2004) Int. J. Imaging Syst. Technol , vol.14 , pp. 91-104
    • Chan, R.1    Riemenschneider, S.2    Shen, L.3    Shen, Z.4
  • 11
    • 34547567338 scopus 로고    scopus 로고
    • Chan, R., Shen, Z., Xia, T.: A framelet algorithm for enchancing video stills. Appl. Comput. Harmon. Anal (2007, in press)
    • Chan, R., Shen, Z., Xia, T.: A framelet algorithm for enchancing video stills. Appl. Comput. Harmon. Anal (2007, in press)
  • 12
    • 33749637904 scopus 로고    scopus 로고
    • Total variation wavelet inpainting
    • Chan, T., Shen, J., Zhou, H.: Total variation wavelet inpainting. J. Math. Imaging Vis 25(1), 107-125 (2006)
    • (2006) J. Math. Imaging Vis , vol.25 , Issue.1 , pp. 107-125
    • Chan, T.1    Shen, J.2    Zhou, H.3
  • 13
    • 0034347304 scopus 로고    scopus 로고
    • On the splitting trick and wavelet frame packets
    • Chen, D.: On the splitting trick and wavelet frame packets. SIAM J. Math. Anal. 31(4), 726-739 (2000)
    • (2000) SIAM J. Math. Anal , vol.31 , Issue.4 , pp. 726-739
    • Chen, D.1
  • 14
    • 0000238947 scopus 로고    scopus 로고
    • Compactly supported tight frames associated with refinable functions
    • Chui, C., He, W.: Compactly supported tight frames associated with refinable functions. Appl. Comput. Harmon. Anal. 8(3), 293-319 (2000)
    • (2000) Appl. Comput. Harmon. Anal , vol.8 , Issue.3 , pp. 293-319
    • Chui, C.1    He, W.2
  • 15
    • 0242601591 scopus 로고    scopus 로고
    • Compact supported tight and sibling frames with maximum vanishing moments
    • Chui, C., He, W. Stöckler, J.: Compact supported tight and sibling frames with maximum vanishing moments. Appl. Comput. Harmon. Anal. 13, 224-262 (2002)
    • (2002) Appl. Comput. Harmon. Anal , vol.13 , pp. 224-262
    • Chui, C.1    He, W.2    Stöckler, J.3
  • 16
    • 25444486950 scopus 로고    scopus 로고
    • Adaptive wavelet Galerkin methods for linear inverse probelms
    • Cohen, A., Hoffmann, M., Reiss, M.: Adaptive wavelet Galerkin methods for linear inverse probelms. SIAM J. Numer. Anal. 42(4), 1479-1501 (2004)
    • (2004) SIAM J. Numer. Anal , vol.42 , Issue.4 , pp. 1479-1501
    • Cohen, A.1    Hoffmann, M.2    Reiss, M.3
  • 18
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • Daubechies, L, Defrise, M., De Mol, C.: An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Comm. Pure Appl. Math. 57, 1413-1457 (2004)
    • (2004) Comm. Pure Appl. Math , vol.57 , pp. 1413-1457
    • Daubechies, L.1    Defrise, M.2    De Mol, C.3
  • 20
    • 34249889428 scopus 로고    scopus 로고
    • De Mol, C., Defrise, M.: A note on wavelet-based inversion algorithms. In: Nashed, M., Scherzer, O. (eds.) Inverse problems, image analysis, and medical imaging, New Orleans, LA, 2001, pp. 85-96. Contemp. Math. 313, Amer. Math. Soc., Providence, RI (2002)
    • De Mol, C., Defrise, M.: A note on wavelet-based inversion algorithms. In: Nashed, M., Scherzer, O. (eds.) Inverse problems, image analysis, and medical imaging, New Orleans, LA, 2001, pp. 85-96. Contemp. Math. 313, Amer. Math. Soc., Providence, RI (2002)
  • 21
    • 33751021679 scopus 로고    scopus 로고
    • Pseudo-spline, wavelets and framelets
    • Dong, B., Shen, Z.: Pseudo-spline, wavelets and framelets. Appl. Comput. Harmon. Anal. 22(1), 78-104 (2007)
    • (2007) Appl. Comput. Harmon. Anal , vol.22 , Issue.1 , pp. 78-104
    • Dong, B.1    Shen, Z.2
  • 22
    • 0029288068 scopus 로고
    • Nonlinear solution of linear inverse problems by Wavelet-Vaguelette decomposition
    • Donoho, D.: Nonlinear solution of linear inverse problems by Wavelet-Vaguelette decomposition. Appl. Comput. Harmon. Anal. 2, 101-126 (1995)
    • (1995) Appl. Comput. Harmon. Anal , vol.2 , pp. 101-126
    • Donoho, D.1
  • 25
    • 0001293803 scopus 로고
    • An application of the Wiener-Kolmogorov smoothing theory to matrix inversion
    • Foster, M.: An application of the Wiener-Kolmogorov smoothing theory to matrix inversion. J. SIAM 9(3), 387-392 (1961)
    • (1961) J. SIAM , vol.9 , Issue.3 , pp. 387-392
    • Foster, M.1
  • 26
    • 84971120744 scopus 로고
    • Multiresolution and wavelets
    • Jia, R., Shen, Z.: Multiresolution and wavelets. Proc. Edinburgh Math. Soc. 37, 271-300 (1994)
    • (1994) Proc. Edinburgh Math. Soc , vol.37 , pp. 271-300
    • Jia, R.1    Shen, Z.2
  • 28
    • 0038659945 scopus 로고    scopus 로고
    • Deconvolution by thresholding in mirror wavelet bases
    • Kalifa, J., Mallat, S., Rougé, B.: Deconvolution by thresholding in mirror wavelet bases. IEEE Trans. Image Process. 12(4), 446-457 (2003)
    • (2003) IEEE Trans. Image Process , vol.12 , Issue.4 , pp. 446-457
    • Kalifa, J.1    Mallat, S.2    Rougé, B.3
  • 29
    • 21144431817 scopus 로고    scopus 로고
    • Thresholding estimators for linear inverse problems and deconvolutions
    • Kalifa, J., Mallat, S.: Thresholding estimators for linear inverse problems and deconvolutions. Ann. Stat. 31(1), 58-109 (2003)
    • (2003) Ann. Stat , vol.31 , Issue.1 , pp. 58-109
    • Kalifa, J.1    Mallat, S.2
  • 30
    • 1842631034 scopus 로고    scopus 로고
    • Wavelet basis packets and wavelet frame packets
    • Long, R., Chen, W.: Wavelet basis packets and wavelet frame packets. J. Fourier Anal. Appl. 3(3), 239-256 (1997)
    • (1997) J. Fourier Anal. Appl , vol.3 , Issue.3 , pp. 239-256
    • Long, R.1    Chen, W.2
  • 31
    • 0031571549 scopus 로고    scopus 로고
    • d) : The analysis of the analysis operator
    • d) : the analysis of the analysis operator. J. Funct. Anal. 148, 408-447 (1997)
    • (1997) J. Funct. Anal , vol.148 , pp. 408-447
    • Ron, A.1    Shen, Z.2
  • 33
    • 0001300994 scopus 로고
    • On the solution of incorrectly put problems and the regularisation method
    • Tikhonov, A.N.: On the solution of incorrectly put problems and the regularisation method. Soviet Math. Doklady 4, 1035-1038 (1963)
    • (1963) Soviet Math. Doklady , vol.4 , pp. 1035-1038
    • Tikhonov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.