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Volumn 58, Issue 4, 2010, Pages 2088-2101

Design of regular wavelets using a three-step lifting scheme

Author keywords

Frame bounds; Lifting scheme; Multidimensional filter banks; Regular wavelet transform; Vanishing moments

Indexed keywords

ANALYSIS AND SYNTHESIS; ANALYSIS AND SYNTHESIS FILTERS; DEGREE OF FREEDOM; FLEXIBLE DESIGNS; FRAME BOUNDS; FREQUENCY SELECTIVITY; LIFTING METHOD; LIFTING SCHEMES; MULTI-CHANNEL FILTER; MULTI-CHANNEL FRAMEWORKS; MULTIDIMENSIONAL FILTER BANKS; TWO-CHANNEL FILTER BANKS; VANISHING MOMENT;

EID: 77949384015     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2039822     Document Type: Article
Times cited : (18)

References (29)
  • 1
    • 0033280339 scopus 로고    scopus 로고
    • Structure and design of twochannel filter banks derive from a triplet of halfband filters
    • Dec.
    • R. Ansari, C. W. Kim, and M. Dedovic, "Structure and design of twochannel filter banks derive from a triplet of halfband filters," IEEE Trans. Circuits Syst. II, vol.46, no.12, pp. 1487-1496, Dec. 1999.
    • (1999) IEEE Trans. Circuits Syst. II , vol.46 , Issue.12 , pp. 1487-1496
    • Ansari, R.1    Kim, C.W.2    Dedovic, M.3
  • 2
    • 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
  • 3
    • 0032301709 scopus 로고    scopus 로고
    • Frame-theoretic analysis of oversampled filter banks
    • Dec.
    • H. Bölcskei, F. Hlawatsch, and H. Feichtinger, "Frame-theoretic analysis of oversampled filter banks," IEEE Trans. Signal Process., vol.46, no.12, pp. 3256-3268, Dec. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , Issue.12 , pp. 3256-3268
    • Bölcskei, H.1    Hlawatsch, F.2    Feichtinger, H.3
  • 4
    • 4344560380 scopus 로고    scopus 로고
    • On the design and multiplierless realization of perfect reconstruction triplet-based FIR filter banks and wavelet bases
    • Aug.
    • S. C. Chan and K. S. Yeung, "On the design and multiplierless realization of perfect reconstruction triplet-based FIR filter banks and wavelet bases," IEEE Trans. Circuits Syst. I, vol.51, pp. 1476-1491, Aug. 2004.
    • (2004) IEEE Trans. Circuits Syst. i , vol.51 , pp. 1476-1491
    • Chan, S.C.1    Yeung, K.S.2
  • 5
    • 0002118102 scopus 로고
    • Non-separable bidimensional wavelet bases
    • A. Cohen and I. Daubechies, "Non-separable bidimensional wavelet bases," Revista Matematica Iberoamericana, vol.9, no.9, pp. 51-137, 1993.
    • (1993) Revista Matematica Iberoamericana , vol.9 , Issue.9 , pp. 51-137
    • Cohen, A.1    Daubechies, I.2
  • 6
    • 18344410543 scopus 로고    scopus 로고
    • Factoring wavelets into lifting steps
    • I. Daubechies and W. Sweldens, "Factoring wavelets into lifting steps," J. Fourier Anal. Appl., vol.4, no.3, pp. 247-269, 1998.
    • (1998) J. Fourier Anal. Appl. , vol.4 , Issue.3 , pp. 247-269
    • Daubechies, I.1    Sweldens, W.2
  • 7
    • 84968521926 scopus 로고
    • Computational aspects of polynomial interpolation in several variables
    • C. de Boor and A. Ron, "Computational aspects of polynomial interpolation in several variables," Math. Comput., vol.58, pp. 705-727, 1992.
    • (1992) Math. Comput. , vol.58 , pp. 705-727
    • De Boor, C.1    Ron, A.2
  • 8
    • 0000663580 scopus 로고
    • On multivariate polynomial interpolation
    • C. de Boor and A. Ron, "On multivariate polynomial interpolation," Constr. Approx., vol.6, pp. 287-302, 1990.
    • (1990) Constr. Approx. , vol.6 , pp. 287-302
    • De Boor, C.1    Ron, A.2
  • 9
    • 0033078225 scopus 로고    scopus 로고
    • Biorthogonal filterbanks and energy preservation property in image compression
    • Feb.
    • F. M. de Saint-Martin, P. Siohan, and A. Cohen, "Biorthogonal filterbanks and energy preservation property in image compression," IEEE Trans. Image Process., vol.8, no.2, pp. 168-178, Feb. 1999.
    • (1999) IEEE Trans. Image Process. , vol.8 , Issue.2 , pp. 168-178
    • De Saint-Martin, F.M.1    Siohan, P.2    Cohen, A.3
  • 11
    • 0001301724 scopus 로고
    • Sobolev characterization of solutions of dilation equations
    • Jul.
    • T. Eirola, "Sobolev characterization of solutions of dilation equations," SIAM J. Math Anal., vol.23, pp. 1015-1030, Jul. 1992.
    • (1992) SIAM J. Math Anal. , vol.23 , pp. 1015-1030
    • Eirola, T.1
  • 12
    • 34047199323 scopus 로고    scopus 로고
    • A new family of transforms using hybrid wavelets and directional filter banks
    • Apr.
    • R. Eslami and H. Radha, "A new family of transforms using hybrid wavelets and directional filter banks," IEEE Trans. Image Process., vol.16, no.4, pp. 1152-1167, Apr. 2007.
    • (2007) IEEE Trans. Image Process. , vol.16 , Issue.4 , pp. 1152-1167
    • Eslami, R.1    Radha, H.2
  • 14
    • 0033906067 scopus 로고    scopus 로고
    • Wavelet families of increasing order in arbitrary dimensions
    • Mar.
    • J. Koväcević and W. Sweldens, "Wavelet families of increasing order in arbitrary dimensions," IEEE Trans. Image Process., vol.9, pp. 480-496, Mar. 2000.
    • (2000) IEEE Trans. Image Process. , vol.9 , pp. 480-496
    • Koväcević, J.1    Sweldens, W.2
  • 15
    • 0026624134 scopus 로고
    • Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for
    • Mar.
    • J. Koväcević and M. Vetterli, "Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for ," IEEE Trans. Inf. Theory, vol.38, pp. 533-555, Mar. 1992.
    • (1992) IEEE Trans. Inf. Theory , vol.38 , pp. 533-555
    • Koväcević, J.1    Vetterli, M.2
  • 16
    • 0029307648 scopus 로고
    • Nonseparable two- and three-dimensional wavelets
    • May
    • J. Koväcević 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
    • Koväcević, J.1    Vetterli, M.2
  • 17
  • 19
    • 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
  • 20
    • 0036056316 scopus 로고    scopus 로고
    • Computing the Sobolev regularity of refinable functions by the Arnoldi method
    • A. Ron, Z. Shen, and K.-C. Toh, "Computing the Sobolev regularity of refinable functions by the Arnoldi method," SIAM J. Matrix Anal. Appl., vol.23, no.1, pp. 57-76, 2001.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.1 , pp. 57-76
    • Ron, A.1    Shen, Z.2    Toh, K.-C.3
  • 23
    • 0032388955 scopus 로고    scopus 로고
    • The lifting scheme:Aconstruction of second generation wavelets
    • W. Sweldens, "The lifting scheme:Aconstruction of second generation wavelets," SIAM J. Math. Anal., vol.29, no.2, pp. 511-546, 1997.
    • (1997) SIAM J. Math. Anal. , vol.29 , Issue.2 , pp. 511-546
    • Sweldens, W.1
  • 24
    • 30244489068 scopus 로고    scopus 로고
    • The lifting scheme: A custom-design construction of biorthogonal wavelets
    • W. Sweldens, "The lifting scheme: A custom-design construction of biorthogonal wavelets," Appl. Comput. Harmon. Anal., vol.3, no.2, pp. 186-200, 1996.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , Issue.2 , pp. 186-200
    • Sweldens, W.1
  • 25
    • 0027680634 scopus 로고
    • Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformation of variables
    • Oct.
    • D. B. H. Tay and N. G. Kingsbury, "Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformation of variables," IEEE Trans. Image Process., vol.2, pp. 466-480, Oct. 1993.
    • (1993) IEEE Trans. Image Process. , vol.2 , pp. 466-480
    • Tay, D.B.H.1    Kingsbury, N.G.2
  • 26
    • 3543034014 scopus 로고    scopus 로고
    • A novel approach to the design of the class of triplet halfband filterbanks
    • Jul.
    • D. B. H. Tay and M. Palaniswami, "A novel approach to the design of the class of triplet halfband filterbanks," IEEE Trans. Circuits Syst. II, vol.51, pp. 378-383, Jul. 2004.
    • (2004) IEEE Trans. Circuits Syst. II , vol.51 , pp. 378-383
    • Tay, D.B.H.1    Palaniswami, M.2
  • 29
    • 0039356448 scopus 로고
    • Energy moments in time and frequency for two-scale difference equation solutions and wavelets
    • L. F. Villemoes, "Energy moments in time and frequency for two-scale difference equation solutions and wavelets," SIAM J. Math Anal., vol.23, pp. 1519-1543, 1992.
    • (1992) SIAM J. Math Anal. , vol.23 , pp. 1519-1543
    • Villemoes, L.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.