Image analysis – Image compression or coding – Transform coding
Patent
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.
Kamizawa Koh
Kimura Shun-ichi
Koshi Yutaka
Minami Toshi
Nakamura Osamu
Fuji 'Xerox Co., Ltd.
Mancuso Joseph H.
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