An efficient structure and algorithm for image representation using nonorthogonal basis images

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 44, Issue 10, 1997, Pages 818-828

  Berg, Albert P ^a   Mikhael, Wasfy B ^b  

^a LOCKHEED MARTIN   (United States)

^b University of Central Florida   (United States)

Author keywords

Mixed transforms; Nonorthogonal representation; Transform coding

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; IMAGE CODING; IMAGE QUALITY; MATHEMATICAL TRANSFORMATIONS; RECURSIVE FUNCTIONS;

IMAGE REPRESENTATION; MIXED TRANSFORMS; NONORTHOGONAL BASIS IMAGES;

IMAGE COMPRESSION;

EID: 0031259282     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.633439     Document Type: Article

References (20)

1. R. J. Clarke, Transform Coding of Images. London, England: Academic, 1985.
2. W. B. Mikhael and A. S. Spanias, "Representation of speech signals using mixed incomplete sets of basis functions," in Proc. 21st Asilomar Conf. Signals, Syst. Comput., 1987, pp. 905-908.
3. A. S. Spanias and P. C. Loizou, "Mixed Fourier/Walsh transform scheme for speech coding at 4.0 kbit/s," in lEEProc. l: Commun., Speech Vision, Oct. 1992, vol. 139, no. 5, pp. 473-181.
4. W. B. Mikhael and A. Ramaswamy, "Application of multitransforms for lossy image representation," IEEE Trans. Circuits Syst. II, vol. 41, pp. 431-134, June 1994.
5. "An efficient representation of nonstationary signals using mixed-transforms with applications to speech," IEEE Trans. Circuits Syst. II, vol. 42, pp. 393-101, June 1995.
6. V. DeBrunner, L. Chen, and H. Li, "Lapped multiple bases realizations for the transform coding of still images," in Proc. 28th Ann. Asilomar Conf. Signals, Syst. Comput., 1994, pp. 943-947.
7. V. E. DeBrunner and J. Thripuraneni, "Block multitransform coding of nonstationary signals," in Proc. IEEE Int. Symp. Circuits Syst., May 1996, pp. 137-140.
8. A. P. Berg and W. B. Mikhael, "An efficient structure and algorithm for the mixed transform representation of signals," in Proc. 29th Asilomar Conf. Signals, Syst. Comput., Oct. 1995.
9. "Fidelity enhancement of transform based image coding using nonorthogonal basis images," in Proc. IEEE Int. Symp. Circuits Syst., May 1996, pp. 437-440
10. S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Processing, vol. 41, pp. 3397-3415, Dec. 1993.
11. G. Davis, S. Mallat, and Z. Zhang, "Adaptive time-frequency decompositions," Opt. Eng., vol. 33, no. 7, pp. 2183-2191, July 1994.
12. Y. C. Pâti, R. Rezaiifar, and P. S. Krishnaprasad, "Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition," in Proc. 27th Ann. Asilomar Conf. Signals, Systems Comput., 1993, pp. 40-14.
13. N. Polyak and W. A. Pearlman, "A new method for nonorthogonal signal decomposition," J. Visual Commun. Image Represent., vol. 5, no. 3, pp. 236-244, Sept. 1994.
14. N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing. New York: Springer-Verlag, 1975.
15. A. Graham, Kronecker Products and Matrix Calculus with Applications. New York: Wiley, 1981.
16. A. Björck, "Algorithms for linear least squares problems," in Computer Algorithms for Solving Linear Algebraic Equations: The State of the Art, NATO ASI Series F: Comput. Syst. Sei., E. Spedicato, Ed. New York: Springer-Verlag, vol. 77, 1991, pp. 57-92.
17. D. Kincaid and W. Cheney, Numerical Analysis. Pacific Grove, CA: Brooks/Cole, 1991.
18. R. Bronson, Schaum's Outline of Theory and Problems of Matrix Operations. New York: McGraw-Hill, 1989.
19. B. N. Parlett, The Symmetric Eigenvalue Problem. Englewood Cliffs, NJ: Prentice-Hall, 1980.
20. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.