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Volumn 15, Issue 3, 2006, Pages 726-739

Low-rate and flexible image coding with redundant representations

Author keywords

Adaptive coding; Image compression; Multi dimensional transform; Nonlinear representation; Redundant expansions

Indexed keywords

ADAPTIVE ALGORITHMS; BANDWIDTH; EDGE DETECTION; IMAGE COMPRESSION; IMAGE QUALITY; SIGNAL DISTORTION; WAVELET TRANSFORMS;

EID: 32944466885     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2005.860596     Document Type: Article
Times cited : (115)

References (42)
  • 1
    • 0036453634 scopus 로고    scopus 로고
    • "Contourlets: A directional multiresolution image representation"
    • Rochester, NY, Sep
    • M. N. Do and M. Vetterli, "Contourlets: A directional multiresolution image representation," in Proc. Int. Conf. Image Processing, vol. 1, Rochester, NY, Sep. 2002, pp. 357-360.
    • (2002) Proc. Int. Conf. Image Processing , vol.1 , pp. 357-360
    • Do, M.N.1    Vetterli, M.2
  • 2
    • 14844361142 scopus 로고    scopus 로고
    • "Rate-distortion optimized tree-structured compression algorithms for piecewise polynomial images"
    • Mar
    • R. Shukla, P. L. Dragotti, M. Do, and M. Vetterli, "Rate-distortion optimized tree-structured compression algorithms for piecewise polynomial images," IEEE Trans. Image Process., vol. 14, no. 3, pp. 343-359, Mar. 2005.
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.3 , pp. 343-359
    • Shukla, R.1    Dragotti, P.L.2    Do, M.3    Vetterli, M.4
  • 3
  • 4
    • 0029938380 scopus 로고    scopus 로고
    • "Emergence of simple-cell receptive field properties by learning a sparse code for natural images"
    • (6583) Jun
    • B. A. Olshausen and D. J. Field, "Emergence of simple-cell receptive field properties by learning a sparse code for natural images," Nature, vol. 13, no. 381(6583), pp. 607-609, Jun. 1996.
    • (1996) Nature , vol.13 , Issue.381 , pp. 607-609
    • Olshausen, B.A.1    Field, D.J.2
  • 6
    • 85009724776 scopus 로고    scopus 로고
    • "Nonlinear approximation"
    • R. A. DeVore, "Nonlinear approximation," Acta Numer., vol. 7, pp. 51-150, 1998.
    • (1998) Acta Numer. , vol.7 , pp. 51-150
    • DeVore, R.A.1
  • 8
    • 0035171422 scopus 로고    scopus 로고
    • "On the compression of two dimensional piecewise smooth functions"
    • presented at the Int. Conf. Image Processing
    • M. N. Do, P. L. Dragotti, R. Shukla, and M. Vetterli, "On the compression of two dimensional piecewise smooth functions," presented at the Int. Conf. Image Processing, 2001.
    • (2001)
    • Do, M.N.1    Dragotti, P.L.2    Shukla, R.3    Vetterli, M.4
  • 10
    • 0001678375 scopus 로고    scopus 로고
    • "Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns"
    • J.-P. Antoine, R. Murenzi, and P. Vandergheynst, "Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns," Appl. Comput. Harmon. Anal., vol. 6, no. 3, pp. 314-345, 1999.
    • (1999) Appl. Comput. Harmon. Anal. , vol.6 , Issue.3 , pp. 314-345
    • Antoine, J.-P.1    Murenzi, R.2    Vandergheynst, P.3
  • 11
    • 0003387306 scopus 로고    scopus 로고
    • "Curvelets - A surprisingly effective nonadaptive representation for objects with edges"
    • Saint-halo 1999, A. Cohen, C. Rabut, and L. Schmaker, Eds. Nashville, TN: Vanderbilt Univ. Press
    • E. J. Candès and D. L. Donoho, "Curvelets - a surprisingly effective nonadaptive representation for objects with edges," in Curves and Surface Fitting, Saint-halo 1999, A. Cohen, C. Rabut, and L. Schmaker, Eds. Nashville, TN: Vanderbilt Univ. Press., 2000.
    • (2000) Curves and Surface Fitting
    • Candès, E.J.1    Donoho, D.L.2
  • 12
    • 0036612499 scopus 로고    scopus 로고
    • "The curvelet transform for image denoising"
    • May
    • J.-L. Starck, E. J. Candès, and D. L. Donoho, "The curvelet transform for image denoising," IEEE Trans. Image Process., vol. 11, no. 5, pp. 670-684, May 2002.
    • (2002) IEEE Trans. Image Process. , vol.11 , Issue.5 , pp. 670-684
    • Starck, J.-L.1    Candès, E.J.2    Donoho, D.L.3
  • 13
    • 0032131292 scopus 로고    scopus 로고
    • "Atomic decomposition by basis pursuit"
    • S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Computing, vol. 20, no. 1, pp. 33-61, 1998.
    • (1998) SIAM J. Sci. Computing , vol.20 , Issue.1 , pp. 33-61
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 14
    • 0035504028 scopus 로고    scopus 로고
    • "Uncertainty principles and ideal atomic decompositions"
    • Nov
    • D. L. Donoho and X. Huo, "Uncertainty principles and ideal atomic decompositions," IEEE Trans. Inf. Theory, vol. 47, no. 6, pp. 2845-2862, Nov. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.6 , pp. 2845-2862
    • Donoho, D.L.1    Huo, X.2
  • 15
    • 0036714214 scopus 로고    scopus 로고
    • "A generalized uncertainty principle and sparse representations in pairs of bases"
    • Sep
    • M. Elad and A. M. Bruckstein, "A generalized uncertainty principle and sparse representations in pairs of bases," IEEE Trans. Inf. Theory, vol. 48, no. 5, pp. 2558-2567, Sep. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.5 , pp. 2558-2567
    • Elad, M.1    Bruckstein, A.M.2
  • 16
    • 0347968052 scopus 로고    scopus 로고
    • "Sparse representations in unions of bases"
    • Dec
    • R. Gribonval and M. Nielsen, "Sparse representations in unions of bases," IEEE Trans. Inf. Theory, vol. 49, no. 6, pp. 3320-3325, Dec. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.6 , pp. 3320-3325
    • Gribonval, R.1    Nielsen, M.2
  • 17
    • 0027842081 scopus 로고
    • "Matching pursuit with time-frequency dictionaries"
    • Dec
    • S. Mallat and Z. Zhang., "Matching pursuit with time-frequency dictionaries," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3397-3415, Dec. 1993.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 18
    • 0039439070 scopus 로고    scopus 로고
    • "Some remarks on greedy algorithms"
    • R. A. DeVore and V. N. Temlyakov, "Some remarks on greedy algorithms," Adv. Comput. Math., vol. 5, no. 2-3, pp. 173-187, 1996.
    • (1996) Adv. Comput. Math. , vol.5 , Issue.2-3 , pp. 173-187
    • DeVore, R.A.1    Temlyakov, V.N.2
  • 19
    • 0000523636 scopus 로고
    • "On a conjecture of Huber concerning the convergence of projection pursuit regression"
    • L. K. Jones, "On a conjecture of Huber concerning the convergence of projection pursuit regression," Ann. Stat., vol. 15, no. 2, pp. 880-882, 1987.
    • (1987) Ann. Stat. , vol.15 , Issue.2 , pp. 880-882
    • Jones, L.K.1
  • 20
    • 0038521828 scopus 로고    scopus 로고
    • "Nonlinear approximation with Walsh atoms"
    • A. Le Mhaut, C. Rabut, and L. L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press
    • L. F. Villemoes, "Nonlinear approximation with Walsh atoms," in Surface Fitting and Multiresolution Methods, A. Le Mhaut, C. Rabut, and L. L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press, 1997, pp. 329-336.
    • (1997) Surface Fitting and Multiresolution Methods , pp. 329-336
    • Villemoes, L.F.1
  • 21
    • 0027814133 scopus 로고
    • "Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition"
    • ch., Pacific Grove, CA, Nov
    • Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, "Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition," in Proc. 27th Annu. Asilomar Conf. Signals, Systems, Computers, vol. 1, ch., Pacific Grove, CA, Nov. 1993, pp. 40-44.
    • (1993) Proc. 27th Annu. Asilomar Conf. Signals, Systems, Computers , vol.1 , pp. 40-44
    • Pati, Y.C.1    Rezaiifar, R.2    Krishnaprasad, P.S.3
  • 22
    • 0028479246 scopus 로고
    • "Adaptive time-frequency decompositions"
    • G. M. Davis, S. G. Mallat, and Z. Zhang, "Adaptive time-frequency decompositions," SPIE J. Opt. Eng., vol. 33, no. 7, pp. 2183-2191, 1994.
    • (1994) SPIE J. Opt. Eng. , vol.33 , Issue.7 , pp. 2183-2191
    • Davis, G.M.1    Mallat, S.G.2    Zhang, Z.3
  • 24
    • 5444237123 scopus 로고    scopus 로고
    • "Greed is good: Algorithmic results for sparse approximation"
    • Oct
    • J. A. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 2231-2242, Oct. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.5 , pp. 2231-2242
    • Tropp, J.A.1
  • 25
    • 32944458952 scopus 로고    scopus 로고
    • "On the exponential convergence of matching pursuit in quasi-incoherent dictionaries"
    • Jan
    • R. Gribonval and P. Vandergheynst, "On the exponential convergence of matching pursuit in quasi-incoherent dictionaries," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 255-261, Jan. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.1 , pp. 255-261
    • Gribonval, R.1    Vandergheynst, P.2
  • 27
    • 0031078821 scopus 로고    scopus 로고
    • "Very low bit-rate video coding based on matching pursuits"
    • Jan
    • R. Neff and A. Zakhor, "Very low bit-rate video coding based on matching pursuits," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 7, no. 1, pp. 158-171, Jan. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.7 , Issue.1 , pp. 158-171
    • Neff, R.1    Zakhor, A.2
  • 28
    • 0141618112 scopus 로고    scopus 로고
    • "Evolutionary multiresolution matching pursuit and its relations with the human visual system"
    • R. M. Figueras i Ventura, P. Frossard, and P. Vandergheynst, "Evolutionary multiresolution matching pursuit and its relations with the human visual system," in Proc. EUSIPCO, vol. 2, 2002, pp. 395-398.
    • (2002) Proc. EUSIPCO , vol.2 , pp. 395-398
    • Figueras i Ventura, R.M.1    Frossard, P.2    Vandergheynst, P.3
  • 29
    • 32944480560 scopus 로고    scopus 로고
    • "Matching Pursuit Full Search Algorithm"
    • ITS (EPFL), Tech. Rep. TR-ITS-31/2004
    • R. M. Figueras i Ventura, O. D. Escoda, and P. Vandergheynst, "Matching Pursuit Full Search Algorithm," ITS (EPFL), Tech. Rep. TR-ITS-31/2004, 2004.
    • (2004)
    • Figueras i Ventura, R.M.1    Escoda, O.D.2    Vandergheynst, P.3
  • 30
    • 0003834557 scopus 로고
    • San Francisco, CA: Freeman
    • D. Marr, Vision. San Francisco, CA: Freeman, 1982.
    • (1982) Vision
    • Marr, D.1
  • 31
    • 0030526326 scopus 로고    scopus 로고
    • "Wavelets from square-integrable representations"
    • D. Bernier and K. Taylor, "Wavelets from square-integrable representations," SIAM J. Math. Anal., vol. 27, no. 2, pp. 594-608, 1996.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.2 , pp. 594-608
    • Bernier, D.1    Taylor, K.2
  • 34
    • 0023364261 scopus 로고
    • "Arithmetic coding for data compression"
    • I. H. Witten, R. M. Neal, and J. G. Cleary, "Arithmetic coding for data compression," Commun. ACM, vol. 30, no. 6, pp. 520-540, 1987.
    • (1987) Commun. ACM , vol.30 , Issue.6 , pp. 520-540
    • Witten, I.H.1    Neal, R.M.2    Cleary, J.G.3
  • 35
    • 0029275628 scopus 로고
    • "Probability estimation in arithmetic and adaptive-Huffman entropy coders"
    • Feb
    • D. L. Duttweiler and C. Chamzas, "Probability estimation in arithmetic and adaptive-Huffman entropy coders," IEEE Trans. Image Process., vol. 4, no. 2, pp. 237-246, Feb. 1995.
    • (1995) IEEE Trans. Image Process. , vol.4 , Issue.2 , pp. 237-246
    • Duttweiler, D.L.1    Chamzas, C.2
  • 37
    • 84892849474 scopus 로고
    • "Reversible image compression via multiresolution representation and predictive coding"
    • A. Said and W. Pearlman, "Reversible image compression via multiresolution representation and predictive coding," in Proc. SPIE VCIP, 1993, pp. 664-674.
    • (1993) Proc. SPIE VCIP , pp. 664-674
    • Said, A.1    Pearlman, W.2
  • 38
    • 0034841809 scopus 로고    scopus 로고
    • "Efficient image representation by anisotropic refinement in matching pursuit"
    • P. Vandergheynst and P. Frossard, "Efficient image representation by anisotropic refinement in matching pursuit," in Proc. ICASSP, vol. 3, 2001, pp. 1757-1760.
    • (2001) Proc. ICASSP , vol.3 , pp. 1757-1760
    • Vandergheynst, P.1    Frossard, P.2
  • 39
    • 0030173121 scopus 로고    scopus 로고
    • "A new, fast, and efficient image codec based on set partitioning in hierarchical trees"
    • Feb
    • A. Said and W. A. Pearlman, "A new, fast, and efficient image codec based on set partitioning in hierarchical trees," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 6, no. 2, pp. 243-250, Feb. 1996.
    • (1996) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.6 , Issue.2 , pp. 243-250
    • Said, A.1    Pearlman, W.A.2
  • 40
    • 0028498953 scopus 로고
    • "Multirate 3-d subband coding of video"
    • Apr
    • D. Taubman and A. Zakhor, "Multirate 3-d subband coding of video," IEEE Trans. Image Process., vol. 3, no. 4, pp. 572-588, Apr. 1994.
    • (1994) IEEE Trans. Image Process. , vol.3 , Issue.4 , pp. 572-588
    • Taubman, D.1    Zakhor, A.2
  • 41
    • 0035446929 scopus 로고    scopus 로고
    • "A resolution and frame-rate scalable subband/wavelet video coder"
    • Aug
    • J. W. Woods and G. Lilienfield, "A resolution and frame-rate scalable subband/wavelet video coder," IEEE Trans. Circuits Syst. Video Technol., vol. 11, no. 8, pp. 1035-1044, Aug. 2001.
    • (2001) IEEE Trans. Circuits Syst. Video Technol. , vol.11 , Issue.8 , pp. 1035-1044
    • Woods, J.W.1    Lilienfield, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.