Quaternion matrix singular value decomposition and its applications for color image processing

IEEE International Conference on Image Processing

Volumn 1, Issue , 2003, Pages 805-808

  Pei, Soo Chang ^a   Chang, Ja Han ^a   Ding, Jian Jiun ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; IMAGE COMPRESSION; MATRIX ALGEBRA; THEOREM PROVING;

QUATERNION MATRIX; SINGULAR VALUE DECOMPOSITION (SVD);

COLOR IMAGE PROCESSING;

EID: 0344666584     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

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2. H. C. Lee, 'Eigen-values and Canonical forms of matrices with quaternion coefficients', Proc. R.I.A. 52, Sect. A, 1949, pp. 253-260.
3. J. L. Brenner, "Matrices of quaternions", Pacific J. Math., 1951, pp. 329-335.
4. A. Bunse-Gerstner, R. Byers and V. Mehrmann, "A Quaternion QR Algorithm", Numerische Mathematik, Vol. 55, 1989, pp. 83-95.
5. F. Zhang, "Quaternions and matrices of Quaternions", Linear algebra and its applications, 1997, pp. 21-57.
6. H. C. Andrews and C. L. Patterson, 'Singular Value Decomposition and Digital Image Processing', IEEE Trans. Acoustics, Speech, and Signal Processing, February 1976, pp. 81-108.
7. S. C. Pei, J. J. Ding, and J.H. Chang 'Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D FFT, IEEE Trans. Signal Processing vol. 49, No. 11. Nov. 2001. pp 2783-2797.
8. C. J. Evans, S. J. Sangwine and T. A. Ell, 'Color-sensitive edge detection using Hypercomplex filters', Processing EUSIPCO 2000, Tampere, Finland, Sep. 2000.
9. S. J. Sangwine and T. A. Ell, 'Hypercomplex auto- and cross-correlation of color images', p. 319-323, IEEE International Conference on Image Processing, 1999.