Singular value decomposition coding and decoding apparatuses

Details Singular value decomposition coding and decoding apparatuses Singular value decomposition coding and decoding apparatuses

1994-04-25

1997-03-25

Mancuso, Joseph H.

Image analysis

Image compression or coding

Transform coding

358433, 382233, G06K 936

Patent

active

056152884

ABSTRACT:
An input image is divided into blocks each represented by n.times.n matrix X, and then X.sup.T X is calculated. Singular values of X that are positive square roots of eigenvalues of X.sup.T X and first singular vectors that are normalized eigenvectors of X.sup.T X are calculated by, for instance, the Jacobi method. Second singular vectors that are normalized eigenvectors of XX.sup.T are calculated analytically using the singular values and the first singular vectors. The singular values and the first and second singular vectors thus calculated are coded.

REFERENCES:
"Singular Value Decomposition (SVD) Image Coding", Andrews et al., IEEE Transactions on Communications, vol. COM-24, No. 4, pp. 425-432, Apr. 1976.
"Comparative Performance of SVD and Adaptive Cosine Transform in Coding Images", Garguir, N., IEEE Transactions on Communications, vol. COM-27, No. 8, pp. 1230-1234, Aug. 1979.
"Vector Quantization of Picture Signals by Singular Value Decomposition", Komatsu et al., Shingakugiho, IE85-6, pp. 38-47, Jun. 1985.

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