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Volumn 16, Issue 4, 2007, Pages 1152-1167

A new family of nonredundant transforms using hybrid wavelets and directional filter banks

Author keywords

Directional filter banks (DFBs); Geometrical image transforms; Image coding; Image denoising; Nonlinear approximation (NLA); Wavelet transform (WT)

Indexed keywords

APPROXIMATION THEORY; FILTER BANKS; SPURIOUS SIGNAL NOISE; WAVELET TRANSFORMS;

EID: 34047199323     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.891791     Document Type: Article
Times cited : (82)

References (43)
  • 1
    • 0033280339 scopus 로고    scopus 로고
    • "Structure and design of two-channel filter banks derive from a triplet of halfband filters"
    • Dec
    • R. Ansari, C. W. Kim, and M. Dedovic, "Structure and design of two-channel filter banks derive from a triplet of halfband filters," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 46, no. 12, pp. 1487-1496, Dec. 1999.
    • (1999) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.46 , Issue.12 , pp. 1487-1496
    • Ansari, R.1    Kim, C.W.2    Dedovic, M.3
  • 2
    • 0027884745 scopus 로고
    • "New results on two and three dimensional directional filter banks"
    • R. H. Bamberger, "New results on two and three dimensional directional filter banks," in Proc. Asilomar Conf. Signals, Systems, and Computers, 1993, vol. 2, pp. 1286-1290.
    • (1993) Proc. Asilomar Conf. Signals, Systems, and Computers , vol.2 , pp. 1286-1290
    • Bamberger, R.H.1
  • 3
  • 4
    • 0026847407 scopus 로고
    • "A filter bank for the directional decomposition of images: Theory and design"
    • Apr
    • R. H. Bamberger and M. J. T. Smith, "A filter bank for the directional decomposition of images: Theory and design," IEEE Trans. Signal Process., vol. 40, no. 4, pp. 882-893, Apr. 1992.
    • (1992) IEEE Trans. Signal Process. , vol.40 , Issue.4 , pp. 882-893
    • Bamberger, R.H.1    Smith, M.J.T.2
  • 5
    • 0003411851 scopus 로고    scopus 로고
    • Textures, a Photographic Album for Artists and Designers Online
    • Available
    • P. Brodatz, Textures, a Photographic Album for Artists and Designers Online. Available: http://www.ux.his.no/~tranden/brodatz.html
    • Brodatz, P.1
  • 6
    • 0020737631 scopus 로고
    • "The Laplacian pyramid as a compact image code"
    • Apr
    • P. J. Burt and E. H. Adelson, "The Laplacian pyramid as a compact image code," IEEE Trans. Commun., vol. 31, no. 4, pp. 532-540, Apr. 1983.
    • (1983) IEEE Trans. Commun. , vol.31 , Issue.4 , pp. 532-540
    • Burt, P.J.1    Adelson, E.H.2
  • 7
    • 33845602456 scopus 로고    scopus 로고
    • "Fast discrete curvelet transform"
    • Sep. Online. Available
    • E. J. Candes, L. Demanet, D. Donoho, and L. Ying, "Fast discrete curvelet transform," Multiscale Model. Simul. vol. 5, no. 3, pp. 861-899, Sep. 2006 Online. Available: http://www.curvelet.org/ software.html
    • (2006) Multiscale Model. Simul. , vol.5 , Issue.3 , pp. 861-899
    • Candes, E.J.1    Demanet, L.2    Donoho, D.3    Ying, L.4
  • 8
    • 0003306887 scopus 로고    scopus 로고
    • "Curvelets - A surprisingly effective nonadaptive representation for objects with edges"
    • in Nashville, TN: Vanderbuilt Univ. Press
    • E. J. Candes and D. L. Donoho, "Curvelets - A surprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting. Nashville, TN: Vanderbuilt Univ. Press, 1999.
    • (1999) Curve and Surface Fitting
    • Candes, E.J.1    Donoho, D.L.2
  • 10
    • 0039141756 scopus 로고
    • "Subband video coding based on velocity filters"
    • in May
    • E. Chang and A. Zakhor, "Subband video coding based on velocity filters," in Proc. IEEE Int. Conf. Circuits Syst., May 1992, vol. 5, pp. 2288-2291.
    • (1992) Proc. IEEE Int. Conf. Circuits Syst. , vol.5 , pp. 2288-2291
    • Chang, E.1    Zakhor, A.2
  • 11
    • 0036649527 scopus 로고    scopus 로고
    • "On the importance of combining wavelet-based non-linear approximation with coding strategies"
    • Jul
    • A. Cohen, I. Daubechies, O. Guleryuz, and M. Orchard, "On the importance of combining wavelet-based non-linear approximation with coding strategies," IEEE Trans. Inf. Theory, vol. 48, no. 7, pp. 1895-1921, Jul. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.7 , pp. 1895-1921
    • Cohen, A.1    Daubechies, I.2    Guleryuz, O.3    Orchard, M.4
  • 12
    • 0002001578 scopus 로고
    • "Translation invariant de-noising"
    • in New York: Springer-Verlag
    • R. R. Coifman and D. L. Donoho, "Translation invariant de-noising," in Wavelets and Statistics. New York: Springer-Verlag, 1995, vol. 103, pp. 125-150.
    • (1995) Wavelets and Statistics , vol.103 , pp. 125-150
    • Coifman, R.R.1    Donoho, D.L.2
  • 13
    • 33749161371 scopus 로고    scopus 로고
    • "The nonsubsampled contourlet transform: Theory, design, and applications"
    • Oct
    • A. L. da Cunha, J. Zhou, and M. N. Do, "The nonsubsampled contourlet transform: Theory, design, and applications," IEEE Trans. Image Process., vol. 15, no. 10, pp. 3089-3101, Oct. 2006.
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.10 , pp. 3089-3101
    • da Cunha, A.L.1    Zhou, J.2    Do, M.N.3
  • 14
    • 0011954766 scopus 로고    scopus 로고
    • "Directional multiresolution image representations"
    • Ph.D. dissertation, EPFL, Lausanne, Switzerland, Dec
    • M. N. Do, "Directional multiresolution image representations," Ph.D. dissertation, EPFL, Lausanne, Switzerland, Dec. 2001.
    • (2001)
    • Do, M.N.1
  • 15
    • 28944432472 scopus 로고    scopus 로고
    • "The contourlet transform: An efficient directional multiresolution image representation"
    • Dec. Online. Available
    • M. N. Do and M. Vetterli, "The contourlet transform: An efficient directional multiresolution image representation," IEEE Trans. Image Process. vol. 14, no. 12, pp. 2091-2106, Dec. 2005 Online. Available: http://www.ifp.uiuc.edu/~minhdo/software/
    • (2005) IEEE Trans. Image Process , vol.14 , Issue.12 , pp. 2091-2106
    • Do, M.N.1    Vetterli, M.2
  • 16
    • 0041958932 scopus 로고
    • "Ideal spatial adaptation by wavelet shrinkage"
    • D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, no. 3, pp. 425-455, 1994.
    • (1994) Biometrika , vol.81 , Issue.3 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 17
    • 33750379296 scopus 로고    scopus 로고
    • "Translation-invariant contourlet transform and its application to image denoising"
    • Nov
    • R. Eslami and H. Radha, "Translation-invariant contourlet transform and its application to image denoising," IEEE Trans. Image Process., vol. 15, no. 11, pp. 3362-3374, Nov. 2006.
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.11 , pp. 3362-3374
    • Eslami, R.1    Radha, H.2
  • 18
    • 33749641007 scopus 로고    scopus 로고
    • "New image transforms using hybrid wavelets and directional filter banks: Analysis and design"
    • in Genova, Italy, Sep
    • R. Eslami and H. Radha, "New image transforms using hybrid wavelets and directional filter banks: Analysis and design," in Proc. IEEE Int. Conf. Image Processing, Genova, Italy, Sep. 2005, vol. 1, pp. 733-736.
    • (2005) Proc. IEEE Int. Conf. Image Processing , vol.1 , pp. 733-736
    • Eslami, R.1    Radha, H.2
  • 19
    • 78649901627 scopus 로고    scopus 로고
    • "Regular hybrid wavelets and directional filter banks: Extensions and applications"
    • presented at the Atlanta, GA, Oct
    • R. Eslami and H. Radha, "Regular hybrid wavelets and directional filter banks: Extensions and applications," presented at the IEEE Int. Conf. Image Processing, Atlanta, GA, Oct. 2006.
    • (2006) IEEE Int. Conf. Image Processing
    • Eslami, R.1    Radha, H.2
  • 20
    • 33646707888 scopus 로고    scopus 로고
    • "Wavelet-based contourlet coding using an SPIHT-like algorithm"
    • in Princeton, NJ, Mar
    • R. Eslami and H. Radha, "Wavelet-based contourlet coding using an SPIHT-like algorithm," in Proc. Conf. Information Sciences, Systems, Princeton, NJ, Mar. 2004, pp. 784-788.
    • (2004) Proc. Conf. Information Sciences, Systems , pp. 784-788
    • Eslami, R.1    Radha, H.2
  • 21
    • 20444502509 scopus 로고    scopus 로고
    • "Wavelet-based contourlet transform and its application to image coding"
    • in Singapore, Oct
    • R. Eslami and H. Radha, "Wavelet-based contourlet transform and its application to image coding," in Proc. IEEE Int. Conf. Image Processing, Singapore, Oct. 2004, vol. 5, pp. 3189-3192.
    • (2004) Proc. IEEE Int. Conf. Image Processing , vol.5 , pp. 3189-3192
    • Eslami, R.1    Radha, H.2
  • 22
    • 11844304336 scopus 로고    scopus 로고
    • "Multidimensional, mapping-based complex wavelet transforms"
    • Jan
    • F. C. A. Fernandes, R. L. C. van Spaendonck, and C. S. Burrus, "Multidimensional, mapping-based complex wavelet transforms," IEEE Trans. Image Process., vol. 14, no. 1, pp. 110-124, Jan. 2005.
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.1 , pp. 110-124
    • Fernandes, F.C.A.1    van Spaendonck, R.L.C.2    Burrus, C.S.3
  • 23
    • 0035331869 scopus 로고    scopus 로고
    • "Complex wavelets for shift invariant analysis and filtering of signals"
    • May Online. Available
    • N. G. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," Appl. Comput. Harmon. Anal. vol. 10, no. 3, pp. 234-253, May 2002 Online. Available: http://taco.poly.edu/ Wavelet-Software/dt2D.html
    • (2002) Appl. Comput. Harmon. Anal. , vol.10 , Issue.3 , pp. 234-253
    • Kingsbury, N.G.1
  • 24
    • 0026624134 scopus 로고
    • "Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for ℝ"
    • Mar
    • J. Kovacevic and M. Vetterli, "Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for ℝ," IEEE Trans. Inf. Theory, vol. 38, pp. 533-555, Mar. 1992.
    • (1992) IEEE Trans. Inf. Theory , vol.38 , pp. 533-555
    • Kovacevic, J.1    Vetterli, M.2
  • 25
    • 0029307648 scopus 로고
    • "Nonseparable two- and three-dimensional wavelets"
    • May
    • J. Kovacevic and M. Vetterli, "Nonseparable two- and three-dimensional wavelets," IEEE Trans. Signal Process., vol. 43, no. 5, pp. 1269-1273, May 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.5 , pp. 1269-1273
    • Kovacevic, J.1    Vetterli, M.2
  • 26
    • 17544369568 scopus 로고    scopus 로고
    • "Sparse geometric image representation with bandelets"
    • Apr
    • E. LePennec and S. Mallat, "Sparse geometric image representation with bandelets," IEEE Trans. Image Process., vol. 14, no. 4, pp. 423-438, Apr. 2005.
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.4 , pp. 423-438
    • LePennec, E.1    Mallat, S.2
  • 27
    • 1242263472 scopus 로고    scopus 로고
    • "CRISP-contourlets: A critically sampled directional multiresolution image representation"
    • presented at the San Diego, CA, Aug
    • Y. Lu and M. N. Do, "CRISP-contourlets: A critically sampled directional multiresolution image representation," presented at the Proc. SPIE Conf. Wavelet Applications in Signal and Image Processing X, San Diego, CA, Aug. 2003.
    • (2003) Proc. SPIE Conf. Wavelet Applications in Signal and Image Processing X
    • Lu, Y.1    Do, M.N.2
  • 29
    • 27844518712 scopus 로고    scopus 로고
    • "Multiresolution direction filterbanks: Theory, design, and applications"
    • Oct
    • T. T. Nguyen and S. Oraintara, "Multiresolution direction filterbanks: Theory, design, and applications," IEEE Trans. Signal Process., vol. 53, no. 10, pp. 3895-3905, Oct. 2005.
    • (2005) IEEE Trans. Signal Process. , vol.53 , Issue.10 , pp. 3895-3905
    • Nguyen, T.T.1    Oraintara, S.2
  • 31
    • 7444230526 scopus 로고    scopus 로고
    • "Improved structures of maximally decimated directional filter Banks for spatial image analysis"
    • Nov
    • S. Park, M. J. T. Smith, and R. M. Mersereau, "Improved structures of maximally decimated directional filter Banks for spatial image analysis," IEEE Trans. Image Process., vol. 13, no. 11, pp. 1424-1431, Nov. 2004.
    • (2004) IEEE Trans. Image Process. , vol.13 , Issue.11 , pp. 1424-1431
    • Park, S.1    Smith, M.J.T.2    Mersereau, R.M.3
  • 32
    • 0029273863 scopus 로고
    • "A new class of two-channel biorthogonal filter banks and wavelet bases"
    • Mar
    • S. M. Phoong, C. W. Kim, P. P. Vaidyanathan, and R. Ansari, "A new class of two-channel biorthogonal filter banks and wavelet bases," IEEE Trans. Signal Process., vol. 43, no. 3, pp. 649-665, Mar. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.3 , pp. 649-665
    • Phoong, S.M.1    Kim, C.W.2    Vaidyanathan, P.P.3    Ansari, R.4
  • 33
    • 33646883645 scopus 로고    scopus 로고
    • "Directional multiscale modeling of images using the contourlet transform"
    • Jun
    • D. D.-Y. Po and M. N. Do, "Directional multiscale modeling of images using the contourlet transform," IEEE Trans. Image Process., vol. 15, no. 6, pp. 1610-1620, Jun. 2006.
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.6 , pp. 1610-1620
    • Po, D.D.-Y.1    Do, M.N.2
  • 34
    • 0242636409 scopus 로고    scopus 로고
    • "Image denoising using scale mixtures of Gaussians in the wavelet domain"
    • Nov. Online. Available
    • J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, "Image denoising using scale mixtures of Gaussians in the wavelet domain," IEEE Trans. Image Process. vol. 12, no. 11, pp. 1338-1351, Nov. 2003 Online. Available: http://decsai.ugr.es/~javier/denoise/index.html
    • (2003) IEEE Trans. Image Process. , vol.12 , Issue.11 , pp. 1338-1351
    • Portilla, J.1    Strela, V.2    Wainwright, M.J.3    Simoncelli, E.P.4
  • 35
    • 0030173121 scopus 로고    scopus 로고
    • "A new fast and efficient image codec based on set partitioning in hierarchical trees"
    • Jun
    • A. Said and W. A. Pearlman, "A new fast and efficient image codec based on set partitioning in hierarchical trees," IEEE Trans. Circuits Syst. Video Technol., vol. 6, no. 3, pp. 243-250, Jun. 1996.
    • (1996) IEEE Trans. Circuits Syst. Video Technol. , vol.6 , Issue.3 , pp. 243-250
    • Said, A.1    Pearlman, W.A.2
  • 36
    • 0036844073 scopus 로고    scopus 로고
    • "Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency"
    • Nov
    • L. Sendur and I. W. Selesnick, "Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2744-2756, Nov. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.11 , pp. 2744-2756
    • Sendur, L.1    Selesnick, I.W.2
  • 37
    • 0036959297 scopus 로고    scopus 로고
    • "Bivariate shrinkage with local variance estimation"
    • Dec
    • L. Sendur and I. W. Selesnick, "Bivariate shrinkage with local variance estimation," IEEE Signal Process. Lett., vol. 9, no. 12, pp. 438-441, Dec. 2002.
    • (2002) IEEE Signal Process. Lett. , vol.9 , Issue.12 , pp. 438-441
    • Sendur, L.1    Selesnick, I.W.2
  • 39
    • 33745728950 scopus 로고    scopus 로고
    • "Directionlets: Anisotropic multidirectional representation with separable filtering"
    • Jul
    • V. Velisavljevic, B. Beferull-Lozano, M. Vetterli, and P. L. Dragotti, "Directionlets: Anisotropic multidirectional representation with separable filtering," IEEE Trans. Image Process., vol. 15, no. 7, pp. 1916-1933, Jul. 2001.
    • (2001) IEEE Trans. Image Process. , vol.15 , Issue.7 , pp. 1916-1933
    • Velisavljevic, V.1    Beferull-Lozano, B.2    Vetterli, M.3    Dragotti, P.L.4
  • 40
    • 85032751948 scopus 로고    scopus 로고
    • "Wavelets, approximation and compression"
    • Sep
    • M. Vetterli, "Wavelets, approximation and compression," IEEE Signal Process. Mag., vol. 18, no. 5, pp. 59-73, Sep. 2001.
    • (2001) IEEE Signal Process. Mag. , vol.18 , Issue.5 , pp. 59-73
    • Vetterli, M.1
  • 42
    • 33645986468 scopus 로고    scopus 로고
    • "Wavelet-domain approximation and compression of piecewise smooth images"
    • May
    • M. Wakin, J. K. Romberg, H. Choi, and R. G. Baraniuk, "Wavelet-domain approximation and compression of piecewise smooth images," IEEE Trans. Image Process., vol. 15, no. 5, pp. 1071-1087, May 2006.
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.5 , pp. 1071-1087
    • Wakin, M.1    Romberg, J.K.2    Choi, H.3    Baraniuk, R.G.4
  • 43
    • 0031146030 scopus 로고    scopus 로고
    • "Space-frequency quantization for wavelet image coding"
    • May
    • Z. Xiong, K. Ramchandran, and M. Vetterli, "Space-frequency quantization for wavelet image coding," IEEE Trans. Image Process., vol. 6, no. 5, pp. 677-693, May 1997.
    • (1997) IEEE Trans. Image Process. , vol.6 , Issue.5 , pp. 677-693
    • Xiong, Z.1    Ramchandran, K.2    Vetterli, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.