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Volumn 57, Issue 1, 1997, Pages 43-64

Orthonormal shift-invariant adaptive local trigonometric decomposition

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; INVARIANCE;

EID: 0031070661     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-1684(96)00185-5     Document Type: Article
Times cited : (21)

References (59)
  • 1
    • 0002713374 scopus 로고
    • Local cosine transform - A method for the reduction of the blocking effect in JPEG
    • G. Aharoni, A. Averbuch, R. Coifman and M. Israeli, "Local cosine transform - A method for the reduction of the blocking effect in JPEG", J. Math. Image Vision, Vol. 3, 1993, pp. 7-38.
    • (1993) J. Math. Image Vision , vol.3 , pp. 7-38
    • Aharoni, G.1    Averbuch, A.2    Coifman, R.3    Israeli, M.4
  • 2
    • 0001618573 scopus 로고
    • Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets
    • C.K Chui. ed., Academic Press, New York
    • P. Auscher, G. Weiss and M.V. Wickerhauser, "Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets", in: C.K Chui. ed., Wavelets - A Tutorial in Theory and Applications, Academic Press, New York, 1992, pp. 237-256.
    • (1992) Wavelets - A Tutorial in Theory and Applications , pp. 237-256
    • Auscher, P.1    Weiss, G.2    Wickerhauser, M.V.3
  • 5
    • 0027851607 scopus 로고
    • Properties of the multiscale maxima and zero-crossings representations
    • December
    • Z. Berman and J.S. Baras, "Properties of the multiscale maxima and zero-crossings representations", IEEE Trans. Signal Process., Vol. 41, No. 12, December 1993, pp. 3216-3231.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3216-3231
    • Berman, Z.1    Baras, J.S.2
  • 6
    • 0026995365 scopus 로고
    • On the representation of operators in bases of compactly supported wavelets
    • December
    • G. Beylkin, "On the representation of operators in bases of compactly supported wavelets", SIAM J. Numer. Anal., Vol. 6, No. 6, December 1992, pp. 1716-1740.
    • (1992) SIAM J. Numer. Anal. , vol.6 , Issue.6 , pp. 1716-1740
    • Beylkin, G.1
  • 7
    • 0019570836 scopus 로고
    • Fast filter transforms for image processing
    • P.J. Burt, "Fast filter transforms for image processing", Comput. Graphics Image Process., Vol. 16, 1981, pp. 20-51.
    • (1981) Comput. Graphics Image Process. , vol.16 , pp. 20-51
    • Burt, P.J.1
  • 8
    • 0027677864 scopus 로고
    • Texture analysis and classification with tree-structured wavelet transform
    • October
    • T. Chang and C.J. Kuo, "Texture analysis and classification with tree-structured wavelet transform", IEEE Trans. Image Process., Vol. 2, No. 4, October 1993, pp. 429-441.
    • (1993) IEEE Trans. Image Process. , vol.2 , Issue.4 , pp. 429-441
    • Chang, T.1    Kuo, C.J.2
  • 9
    • 0017538003 scopus 로고
    • A fast computational algorithm for the discrete cosine transform
    • September
    • W. Chen, C.H. Smith and S. Fralic, "A fast computational algorithm for the discrete cosine transform", IEEE Trans. Commun., Vol. 25, September 1977, pp. 1004-1009.
    • (1977) IEEE Trans. Commun. , vol.25 , pp. 1004-1009
    • Chen, W.1    Smith, C.H.2    Fralic, S.3
  • 12
    • 0346356593 scopus 로고
    • Orthonormal shift-invariant wavelet packet decomposition and representation
    • EE PUB No. 953, Technion - Israel Institute of Technology, Haifa, Israel, January
    • I. Cohen, S. Raz and D. Malah, Orthonormal shift-invariant wavelet packet decomposition and representation, Technical Report, EE PUB No. 953, Technion - Israel Institute of Technology, Haifa, Israel, January 1995.
    • (1995) Technical Report
    • Cohen, I.1    Raz, S.2    Malah, D.3
  • 15
    • 0002001578 scopus 로고
    • Translation-invariant de-noising
    • A. Antoniadis and G. Oppenheim, eds., Wavelet and Statistics, Springer, Berlin
    • R.R. Coifman and D.L. Donoho, "Translation-invariant de-noising", in: A. Antoniadis and G. Oppenheim, eds., Wavelet and Statistics, Lecture Notes in Statistics, Springer, Berlin, 1995, pp. 125-150.
    • (1995) Lecture Notes in Statistics , pp. 125-150
    • Coifman, R.R.1    Donoho, D.L.2
  • 16
    • 0000675659 scopus 로고
    • Remarques sur l'analyse de Fourier à fenêtre
    • R.R. Coifman and Y. Meyer, "Remarques sur l'analyse de Fourier à fenêtre", Comptes Rendus Académie Sci., Vol. 312, 1991, pp. 259-261.
    • (1991) Comptes Rendus Académie Sci. , vol.312 , pp. 259-261
    • Coifman, R.R.1    Meyer, Y.2
  • 17
    • 0000186542 scopus 로고
    • Wavelet analysis and signal processing
    • M. B. Ruskai et al., eds., Jones and Bartlett, Boston
    • R.R. Coifman, Y. Meyer and M.V. Wickerhauser, "Wavelet analysis and signal processing", in: M. B. Ruskai et al., eds., Wavelets and their Applications, Jones and Bartlett, Boston, 1992, pp. 153-178.
    • (1992) Wavelets and Their Applications , pp. 153-178
    • Coifman, R.R.1    Meyer, Y.2    Wickerhauser, M.V.3
  • 18
    • 0002151308 scopus 로고
    • Size properties of wavelet packets
    • M. B. Ruskai et al., eds., Jones and Bartlett, Boston
    • R.R. Coifman, Y. Meyer and M.V. Wickerhauser, "Size properties of wavelet packets", in: M. B. Ruskai et al., eds., Wavelets and their Applications, Jones and Bartlett, Boston, 1992, pp. 453-470.
    • (1992) Wavelets and Their Applications , pp. 453-470
    • Coifman, R.R.1    Meyer, Y.2    Wickerhauser, M.V.3
  • 19
    • 0026686048 scopus 로고
    • Entropy-based algorithms for best basis selection
    • March
    • R.R. Coifman and M.V. Wickerhauser, "Entropy-based algorithms for best basis selection", IEEE Trans. Inform. Theory, Vol. 38, No. 2, March 1992, pp. 713-718.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 713-718
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 20
    • 0002712279 scopus 로고
    • Signal processing and compression with wavelet packets
    • Y. Meyer and S. Roques, eds., Progress in Wavelet Analysis and Applications, Toulouse, France, 8-13 June
    • R.R. Coifman, Y. Meyer, S. Quake and M.V. Wickerhauser, "Signal processing and compression with wavelet packets", in: Y. Meyer and S. Roques, eds., Progress in Wavelet Analysis and Applications, Proc. Internat. Conf. "Wavelet and Applications", Toulouse, France, 8-13 June 1992, pp. 77-93.
    • (1992) Proc. Internat. Conf. "Wavelet and Applications" , pp. 77-93
    • Coifman, R.R.1    Meyer, Y.2    Quake, S.3    Wickerhauser, M.V.4
  • 21
    • 0028479335 scopus 로고
    • Adapted waveform analysis as a tool for modeling, feature extraction, and denoising
    • July
    • R.R. Coifman and M.V. Wickerhauser, "Adapted waveform analysis as a tool for modeling, feature extraction, and denoising", Opt. Eng., Vol. 33, No. 7, July 1994, pp. 2170-2174.
    • (1994) Opt. Eng. , vol.33 , Issue.7 , pp. 2170-2174
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 22
    • 0028479246 scopus 로고
    • Adaptive time-frequency decompositions
    • July
    • G. Davis, S. Mallat and Z. Zhang, "Adaptive time-frequency decompositions", Opt. Eng., Vol. 33, No. 7, July 1994, pp. 2183-2191.
    • (1994) Opt. Eng. , vol.33 , Issue.7 , pp. 2183-2191
    • Davis, G.1    Mallat, S.2    Zhang, Z.3
  • 23
    • 0028479377 scopus 로고
    • M-band wavepacket-based transient signal detector using a translation-invariant wavelet transform
    • July
    • S. Del Marco and J. Weiss, "M-band wavepacket-based transient signal detector using a translation-invariant wavelet transform", Opt. Eng., Vol. 33, No. 7, July 1994, pp. 2175-2182.
    • (1994) Opt. Eng. , vol.33 , Issue.7 , pp. 2175-2182
    • Del Marco, S.1    Weiss, J.2
  • 24
    • 0028996209 scopus 로고
    • An M-band 2-dimensional translation-invariant wavelet transform and applications
    • Detroit, Michigan, 8-12 May
    • S. Del Marco, P. Heller and J. Weiss, "An M-band 2-dimensional translation-invariant wavelet transform and applications", Proc. 20th IEEE Internat. Conf. Acoust. Speech Signal Process., Detroit, Michigan, 8-12 May 1995, pp. 1077-1080.
    • (1995) Proc. 20th IEEE Internat. Conf. Acoust. Speech Signal Process. , pp. 1077-1080
    • Del Marco, S.1    Heller, P.2    Weiss, J.3
  • 25
    • 0000370306 scopus 로고
    • Nonlinear wavelet methods for recovery of signals, images and densities from noisy and incomplete data
    • I. Daubechies, ed., American Mathematical Society, Providence, RI
    • D.N. Dononho, "Nonlinear wavelet methods for recovery of signals, images and densities from noisy and incomplete data", in: I. Daubechies, ed., Different Perspectives on Wavelets, American Mathematical Society, Providence, RI, 1993, pp. 173-205.
    • (1993) Different Perspectives on Wavelets , pp. 173-205
    • Dononho, D.N.1
  • 26
    • 0028393346 scopus 로고
    • Adapted multiple folding local trigonometric transforms and wavelet packets
    • X. Fang and E. Séré, "Adapted multiple folding local trigonometric transforms and wavelet packets", Appl. Comput. Harmonic Anal, Vol. 1, 1994, pp. 169-179.
    • (1994) Appl. Comput. Harmonic Anal , vol.1 , pp. 169-179
    • Fang, X.1    Séré, E.2
  • 27
    • 0027806249 scopus 로고
    • Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms
    • December
    • C. Herley, J. Kovačević, K. Ramchandran and M. Vetterli, "Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms", IEEE Trans. Signal Process., Vol. 41, No. 12, December 1993, pp. 3341-3359.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3341-3359
    • Herley, C.1    Kovačević, J.2    Ramchandran, K.3    Vetterli, M.4
  • 28
    • 0028996311 scopus 로고
    • An efficient algorithm to find a jointly optimal time-frequency segmentation using time-varying filter banks
    • Detroit, Michigan, 8-12 May
    • C. Herley, Z. Xiong, K. Ramchandran and M.T. Orchard, "An efficient algorithm to find a jointly optimal time-frequency segmentation using time-varying filter banks", Proc. 20th IEEE Internat. Conf. Acoust. Speech Signal Process., Detroit, Michigan, 8-12 May 1995, pp. 1516-1519.
    • (1995) Proc. 20th IEEE Internat. Conf. Acoust. Speech Signal Process. , pp. 1516-1519
    • Herley, C.1    Xiong, Z.2    Ramchandran, K.3    Orchard, M.T.4
  • 29
    • 0028400594 scopus 로고
    • Control of frequency spreading of wavelet packets
    • N. Hess-Nielsen, "Control of frequency spreading of wavelet packets", Appl. Comput. Harmonic Anal., Vol. 1, 1994, pp. 157-168.
    • (1994) Appl. Comput. Harmonic Anal. , vol.1 , pp. 157-168
    • Hess-Nielsen, N.1
  • 30
    • 0024933964 scopus 로고
    • Reconstructions from zero crossings in scale space
    • December
    • R. Hummel and R. Moniot, "Reconstructions from zero crossings in scale space", IEEE Trans. Acoust. Speech Signal Process., Vol. 37, No. 12, December 1989, pp. 2111-2130.
    • (1989) IEEE Trans. Acoust. Speech Signal Process. , vol.37 , Issue.12 , pp. 2111-2130
    • Hummel, R.1    Moniot, R.2
  • 31
    • 0028479074 scopus 로고
    • Signal compression with smooth local trigonometric bases
    • July
    • B. Jawerth, Y. Liu and W. Sweldens, "Signal compression with smooth local trigonometric bases", Opt. Eng., Vol. 33, No. 7, July 1994, pp. 2125-2135.
    • (1994) Opt. Eng. , vol.33 , Issue.7 , pp. 2125-2135
    • Jawerth, B.1    Liu, Y.2    Sweldens, W.3
  • 32
    • 0346986508 scopus 로고
    • Biorthogonal smooth local trigonometric bases
    • Research Report 1994:05, Univ. of South Carolina, To appear
    • B. Jawerth and W. Sweldens, "Biorthogonal smooth local trigonometric bases". Research Report 1994:05, Univ. of South Carolina, 1994; J. Fourier Anal. Appl., To appear.
    • (1994) J. Fourier Anal. Appl.
    • Jawerth, B.1    Sweldens, W.2
  • 35
    • 0027702444 scopus 로고
    • Texture classification by wavelet packet signatures
    • November
    • A. Laine and J. Fan, "Texture classification by wavelet packet signatures", IEEE Trans. Pattern Anal. Machine Intell., Vol. 15, No. 11, November 1993, pp. 1186-1191.
    • (1993) IEEE Trans. Pattern Anal. Machine Intell. , vol.15 , Issue.11 , pp. 1186-1191
    • Laine, A.1    Fan, J.2
  • 36
    • 0030087225 scopus 로고    scopus 로고
    • A translation invariant wavelet representation algorithm with applications
    • February
    • J. Liang and T.W. Parks, "A translation invariant wavelet representation algorithm with applications", IEEE Trans. Signal Process., Vol. 44, No. 2, February 1996, pp. 225-232.
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.2 , pp. 225-232
    • Liang, J.1    Parks, T.W.2
  • 37
    • 0026187946 scopus 로고
    • Zero crossings of a wavelet transform
    • July
    • S. Mallat, "Zero crossings of a wavelet transform", IEEE Trans. Inform. Theory, Vol. 37, No. 4, July 1991, pp. 1019-1033.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , Issue.4 , pp. 1019-1033
    • Mallat, S.1
  • 38
    • 0026686049 scopus 로고
    • Singularity detection and processing with wavelets
    • March
    • S. Mallat and W.L. Hwang, "Singularity detection and processing with wavelets", IEEE Trans. Inform. Theory, Vol. 38, No. 2, March 1992, pp. 617-643.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 617-643
    • Mallat, S.1    Hwang, W.L.2
  • 39
    • 84898785264 scopus 로고
    • Characterization of signals from multiscale edges
    • July
    • S. Mallat and S. Zhong, "Characterization of signals from multiscale edges", IEEE Trans. Pattern Anal. Machine. Intell., Vol. 14, No. 7, July 1992, pp. 710-732.
    • (1992) IEEE Trans. Pattern Anal. Machine. Intell. , vol.14 , Issue.7 , pp. 710-732
    • Mallat, S.1    Zhong, S.2
  • 40
    • 0027842081 scopus 로고
    • Matching pursuit with time-frequency dictionaries
    • December
    • S. Mallat and Z. Zhang, "Matching pursuit with time-frequency dictionaries", IEEE Trans. Signal Process., Vol. 41, No. 12, December 1993, pp. 3397-3415.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 41
    • 0022674150 scopus 로고
    • Fast computations of the discrete cosine transform through fast Hartley transform
    • March
    • H.S. Malvar, "Fast computations of the discrete cosine transform through fast Hartley transform", Electron Lett., Vol. 22, March 1986, pp. 352-353.
    • (1986) Electron Lett. , vol.22 , pp. 352-353
    • Malvar, H.S.1
  • 43
    • 0025445496 scopus 로고
    • Lapped transforms for efficient transform/subband coding
    • June
    • H.S. Malvar, "Lapped transforms for efficient transform/subband coding", IEEE Trans. Acoust. Speech Signal Process., Vol. 38, No. 6, June 1990, pp. 969-978.
    • (1990) IEEE Trans. Acoust. Speech Signal Process. , vol.38 , Issue.6 , pp. 969-978
    • Malvar, H.S.1
  • 46
    • 0001259658 scopus 로고
    • The stationary wavelet transform and some statistical applications
    • A. Antoniadis and G. Oppenheim, eds., Lecture Notes in Statistics, Springer, Berlin
    • G.P. Nason and B.W. Silverman, "The stationary wavelet transform and some statistical applications", in: A. Antoniadis and G. Oppenheim, eds., Wavelet and Statistics, Lecture Notes in Statistics, Springer, Berlin 1995, pp. 281-300.
    • (1995) Wavelet and Statistics , pp. 281-300
    • Nason, G.P.1    Silverman, B.W.2
  • 47
    • 0027889280 scopus 로고
    • Estimation of noisy signals using time-invariant wavelet packets
    • Monterey, CA, USA, November
    • J.-C. Pesquet, H. Krim, H. Carfantan and J. G. Proakis, "Estimation of noisy signals using time-invariant wavelet packets", Proc. Asilomar Conf., Monterey, CA, USA, Vol. 1, November 1993, pp. 31-34.
    • (1993) Proc. Asilomar Conf. , vol.1 , pp. 31-34
    • Pesquet, J.-C.1    Krim, H.2    Carfantan, H.3    Proakis, J.G.4
  • 49
    • 0026745217 scopus 로고
    • Fast algorithms for discrete and continuous wavelet transforms
    • March
    • O. Rioul and P. Duhamel, "Fast algorithms for discrete and continuous wavelet transforms", IEEE Trans. Inform. Theory, Vol. 38, No. 2, March 1992, pp. 569-586.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 569-586
    • Rioul, O.1    Duhamel, P.2
  • 50
    • 0027874676 scopus 로고
    • Multiresolution representations using the auto-correlation functions of compactly supported wavelets
    • December
    • N. Saito and G. Beylkin, "Multiresolution representations using the auto-correlation functions of compactly supported wavelets", IEEE Trans. Signal Process., Vol. 41, No. 12, December 1993, pp. 3584-3590.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3584-3590
    • Saito, N.1    Beylkin, G.2
  • 55
    • 0028714023 scopus 로고
    • Near-best basis selection algorithms with non-additive information cost functions
    • M.G. Amin, ed., Philadelphia, PA, October
    • C. Taswell, "Near-best basis selection algorithms with non-additive information cost functions", in: M.G. Amin, ed., Proc. IEEE-SP Internat. Symp. on Time-Frequency and Time-Scale Analysis, Philadelphia, PA, October 1994, pp. 13-16.
    • (1994) Proc. IEEE-SP Internat. Symp. on Time-Frequency and Time-Scale Analysis , pp. 13-16
    • Taswell, C.1
  • 56
    • 0001213645 scopus 로고
    • WavBox 4: A software toolbox for wavelet transforms and adaptive wavelet packet decompositions
    • A. Antoniadis and G. Oppenheim, eds., Lecture Notes in Statistics, Springer, Berlin
    • C. Taswell, "WavBox 4: A software toolbox for wavelet transforms and adaptive wavelet packet decompositions", in: A. Antoniadis and G. Oppenheim, eds., Wavelet and Statistics, Lecture Notes in Statistics, Springer, Berlin, 1995, pp. 361-376.
    • (1995) Wavelet and Statistics , pp. 361-376
    • Taswell, C.1
  • 58
    • 0027798111 scopus 로고
    • Adapted local trigonometric transforms and speech processing
    • December
    • E. Wesfreid and M.V. Wickerhauser, "Adapted local trigonometric transforms and speech processing", IEEE Trans. Signal Process., Vol. 41, No. 12, December 1993, pp. 3596-3600.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3596-3600
    • Wesfreid, E.1    Wickerhauser, M.V.2


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