메뉴 건너뛰기




Volumn 12, Issue 2, 2005, Pages 112-115

On the multidimensional extension of the quincunx subsampling matrix

Author keywords

2 D quincunx sampling; 3 D FCC sampling; Nonseparable design; Two channel filterbanks; Wavelet decomposition

Indexed keywords

CONSTRAINT THEORY; MATRIX ALGEBRA; THREE DIMENSIONAL; WAVELET TRANSFORMS;

EID: 13244258421     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2004.839697     Document Type: Article
Times cited : (25)

References (24)
  • 1
    • 0021409008 scopus 로고
    • "Multi-dimensional sub-band coding: Some theory and algorithms"
    • M. Vetterli, "Multi-dimensional sub-band coding: some theory and algorithms," Signal Process., vol. 6, no. 2, pp. 97-112, 1984.
    • (1984) Signal Process. , vol.6 , Issue.2 , pp. 97-112
    • Vetterli, M.1
  • 3
    • 0003868373 scopus 로고
    • "Analyze multirésolution par ondelettes non orthogonales et bancs de filtres numériques"
    • Ph.D. dissertation, Univ. Paris Sud, Paris, France
    • J.-C. Feauveau, "Analyze multirésolution par ondelettes non orthogonales et bancs de filtres numériques," Ph.D. dissertation, Univ. Paris Sud, Paris, France, 1990.
    • (1990)
    • Feauveau, J.-C.1
  • 4
    • 0025506888 scopus 로고
    • "Perfect reconstruction FIR filter banks: Some properties and factorizations"
    • M. Vetterli, J. Kovačević and D. J. LeGall, "Perfect reconstruction FIR filter banks: some properties and factorizations," Image Commun., vol. 2, no. 3, pp. 349-364, 1990.
    • (1990) Image Commun. , vol.2 , Issue.3 , pp. 349-364
    • Vetterli, M.1    Kovačević, J.2    Legall, D.J.3
  • 5
    • 0025899887 scopus 로고
    • "The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices"
    • Jan
    • E. Viscito and J. P. Allebach, "The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices," IEEE Trans. Circuits Syst., vol. 38, no. 1, pp. 29-42, Jan. 1991.
    • (1991) IEEE Trans. Circuits Syst. , vol.38 , Issue.1 , pp. 29-42
    • Viscito, E.1    Allebach, J.P.2
  • 7
    • 0033906067 scopus 로고    scopus 로고
    • "Wavelet families of increasing order in arbitrary dimensions"
    • Mar
    • J. Kovačević and W. Sweldens, "Wavelet families of increasing order in arbitrary dimensions," IEEE Trans. Image Process., vol. 9, no. 3, pp. 480-496, Mar. 2000.
    • (2000) IEEE Trans. Image Process. , vol.9 , Issue.3 , pp. 480-496
    • Kovačević, J.1    Sweldens, W.2
  • 8
    • 0022052153 scopus 로고
    • "The sampling and reconstruction of time-varying imagery with application in video systems"
    • Apr
    • E. Dubois, "The sampling and reconstruction of time-varying imagery with application in video systems," Proc. IEEE, vol. 73, no. 4, pp. 502-522, Apr. 1985.
    • (1985) Proc. IEEE , vol.73 , Issue.4 , pp. 502-522
    • Dubois, E.1
  • 9
    • 13244293533 scopus 로고    scopus 로고
    • Advances in Geometric Modeling
    • Chichester, U.K.: Wiley Europe, ch. Optimal Hierarchical Adaptive Mesh Construction Using FCO Sampling
    • P. Dafas, I. Kompatsiaris, and M. G. Strintzis, Advances in Geometric Modeling. Chichester, U.K.: Wiley Europe, 2003, ch. Optimal Hierarchical Adaptive Mesh Construction Using FCO Sampling.
    • (2003)
    • Dafas, P.1    Kompatsiaris, I.2    Strintzis, M.G.3
  • 12
    • 0029770922 scopus 로고    scopus 로고
    • "Computing the Voronoi cell of a lattice: The diamond-cutting algorithm"
    • Jan
    • E. Viberbo and E. Biglieri, "Computing the Voronoi cell of a lattice: the diamond-cutting algorithm," IEEE Trans. Inform. Theory, vol. 42, no. 1, pp. 161-171, Jan. 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , Issue.1 , pp. 161-171
    • Viberbo, E.1    Biglieri, E.2
  • 13
    • 0001069518 scopus 로고
    • "Sampling and reconstruction of wave-number-limited functions in N-dimensional Euclidean spaces"
    • D.P. Petersen and D. Middleton, "Sampling and reconstruction of wave-number-limited functions in N-dimensional Euclidean spaces" Inform. Conte., vol. 5, pp. 279-323, 1962.
    • (1962) Inform. Conte. , vol.5 , pp. 279-323
    • Petersen, D.P.1    Middleton, D.2
  • 14
    • 0346380125 scopus 로고    scopus 로고
    • "Tight compactly supported wavelet frames of arbitrarily high regularity"
    • K. Gröchenig and A. Ron, "Tight compactly supported wavelet frames of arbitrarily high regularity," Proc. Amer. Math. Soc., no. 126, pp. 1101-1107, 1998.
    • (1998) Proc. Amer. Math. Soc. , Issue.126 , pp. 1101-1107
    • Gröchenig, K.1    Ron, A.2
  • 15
    • 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
  • 16
    • 0027590979 scopus 로고
    • "Multidimensional multirate filters and filter banks derived from one dimensional filters"
    • May
    • T. Chen and P. P. Vaidyanatha, "Multidimensional multirate filters and filter banks derived from one dimensional filters," IEEE Trans. Signal Process., vol. 41, no. 5, pp. 1749-1765, May 1993.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.5 , pp. 1749-1765
    • Chen, T.1    Vaidyanatha, P.P.2
  • 17
    • 0029307648 scopus 로고
    • "Nonseparable two-and three-dimensional wavelets"
    • May
    • J. Kovačević 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
    • Kovačević, J.1    Vetterli, M.2
  • 18
    • 1642286039 scopus 로고    scopus 로고
    • "A novel and efficient design of multidimensional PR two-channel filter with hourglass-shaped passband support"
    • Mar
    • K.S.C. Pun and T. Q. Nguyen, "A novel and efficient design of multidimensional PR two-channel filter with hourglass-shaped passband support," IEEE Signal Process. Lett., vol. 11, no. 3, pp. 345-348, Mar. 2004.
    • (2004) IEEE Signal Process. Lett. , vol.11 , Issue.3 , pp. 345-348
    • Pun, K.S.C.1    Nguyen, T.Q.2
  • 19
    • 17444407023 scopus 로고    scopus 로고
    • "An orthogonal family of quincunx wavelets with continuously-adjustable order"
    • to be published
    • M. Feilner, D. Van De Ville, and M. Unser, "An orthogonal family of quincunx wavelets with continuously-adjustable order," IEEE Trans. Image Process., to be published.
    • IEEE Trans. Image Process.
    • Feilner, M.1    Van De Ville, D.2    Unser, M.3
  • 20
    • 0027259848 scopus 로고
    • "FCO sampling of digital video using perfect reconstruction filter banks"
    • Jan
    • J. Kovačević and M. Vetterli, "FCO sampling of digital video using perfect reconstruction filter banks," IEEE Trans. Image Process., vol. 2, no. 1, pp. 118-122, Jan. 1993.
    • (1993) IEEE Trans. Image Process. , vol.2 , Issue.1 , pp. 118-122
    • Kovačević, J.1    Vetterli, M.2
  • 21
    • 0003643241 scopus 로고
    • Sphere Packings, Lattices, and Groups
    • New York: Springer-Verlag
    • J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices, and Groups, 2nd ed. New York: Springer-Verlag, 1993.
    • (1993)
    • Conway, J.H.1    Sloane, N.J.A.2
  • 22
    • 0030082309 scopus 로고    scopus 로고
    • "Design of nonseparable 3-D filter banks/wavelet bases using transformations of variables"
    • D.B.H. Tay and N. G. Kingsbury, "Design of nonseparable 3-D filter banks/wavelet bases using transformations of variables," Proc. Inst. Elect. Eng. - Vision Image Signal Process., vol. 143, no. 1, pp. 51-61, 1996.
    • (1996) Proc. Inst. Elect. Eng. - Vision Image Signal Process , vol.143 , Issue.1 , pp. 51-61
    • Tay, D.B.H.1    Kingsbury, N.G.2
  • 23
    • 13244263601 scopus 로고    scopus 로고
    • "Analytical design of 3-D wavelet filter banks using the multivariate Bernstein polynomial"
    • D. B. H. Tay, "Analytical design of 3-D wavelet filter banks using the multivariate Bernstein polynomial," Proc. Inst. Elect. Eng. - Vision Image Signal Process., vol. 147, no. 2, pp. 122-130, 2000.
    • (2000) Proc. Inst. Elect. Eng. - Vision Image Signal Process , vol.147 , Issue.2 , pp. 122-130
    • Tay, D.B.H.1
  • 24
    • 0036601401 scopus 로고    scopus 로고
    • "Parametric Bernstein polynomial for least squares design of 3-D wavelet filter banks"
    • Jun
    • "Parametric Bernstein polynomial for least squares design of 3-D wavelet filter banks," IEEE Trans. Circuits Syst. 1, vol. 49, no. 6, pp. 887-891, Jun. 2002.
    • (2002) IEEE Trans. Circuits Syst. 1 , vol.49 , Issue.6 , pp. 887-891


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.