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Counting lattice points on ellipsoids: Application to image coding

Counting lattice points on ellipsoids: Application to image coding

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The enumeration problem of lattice vectors in a lattice codebook shaped for elliptical source statistics is solved. The counting of codebook vectors is crucial for the computation of the bit rate, i.e. for the determining the codeword lengths to be transmitted to the decoder.

Inspec keywords: vector quantisation; image coding

Other keywords: elliptical source statistics; lattice points; vector quantisation; image coding; lattice vectors; bit rate; codebook vectors; lattice codebook; codeword lengths; ellipsoids; enumeration problem

Subjects: Pattern recognition; Codes; Optical information, image and video signal processing

References

    1. 1)
      • Moureaux, J.M., Antonini, M., Barlaud, M.: `Lattice vector quantization of image using a product code form and anew labelling method', VCIP'94, September 1994, Chicago, USA, p. 422–433.
    2. 2)
      • M. Antonini , M. Barlaud , P. Mathieu , I. Daubechies . Image coding using wavelet transform. IEEE Trans. , 2 , 205 - 220
    3. 3)
      • J.H. Conway , N.J. Sloane . (1999) Sphere packings, lattices and groups.
    4. 4)
      • Solé, P.: `Counting lattice points in pyramids', Actes de congres Séries Formelles et Combinatoire Algébrique(UQUAM Research Report), June 1992, to appear in Discrete Math..
    5. 5)
      • T.R. Fischer . A pyramid vector quantizer. IEEE Trans. , 4 , 568 - 583
    6. 6)
      • T.D. Lookabaugh , R.M. Gray . High resolution quantization theory and the vector quantizer advantage. IEEE Trans. , 5 , 1020 - 1033
    7. 7)
      • Barlaud, M., Solé, P., Moureaux, J.M., Antonini, M., Gauthier, P.: `Elliptical codebook for lattice vector quantization', IEEE ICASSP, 27–30 April 1993, Minneapolis, Minnesota, USA, p. 590–593.
    8. 8)
      • T.R. Fischer . Geometric source coding and vector quantization. IEEE Trans. , 1 , 137 - 145
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