Approximating filtered scale-variant signals

IEEE Transactions on Image Processing

Volumn 14, Issue 1, 2005, Pages 23-35

  Bovik, Alan Conrad ^a   Raj, Raghu G ^b  

^a The University of Texas at Austin   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FOURIER TRANSFORMS; IMAGE PROCESSING; MATHEMATICAL MODELS; THEOREM PROVING; VECTORS;

DEFOVEATION; FILTERED SCALED VARIANT SIGNALS; LINEAR SHIFT INVARIANT; LINEAR SHIFT VARIANT;

SIGNAL FILTERING AND PREDICTION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER SIMULATION; EVALUATION; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL; VALIDATION STUDY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SUBTRACTION TECHNIQUE;

EID: 11844288975     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2004.838696     Document Type: Article

References (23)

1. W. N. Klarquist and A. C. Bovik, "FOVEA: A foveated, multi-fixation, vergent active stereo system for dynamic three-dimensional scene recovery," IEEE Trans. Robot. Automat., vol. 14, no. 5, pp. 755-770, Oct. 1998.
2. S. Lee, M. S. Pattichis, and A. C. Bovik, "Optimal rate control for realtime, low bitrate foveated video coding," IEEE Trans. Image Process., vol. 10, no. 7, pp. 977-992, Jul. 2001.
3. S. Lee, M. S. Pattichis, and A. C. Bovik, "Foveated video quality assessment," IEEE Trans. Multimedia, vol. 4, no. 1, pp. 129-132, Mar. 2002.
4. Z. Wang and A. C. Bovik, "Embedded foveation image coding," IEEE Trans. Image Process., vol. 10, no. 10, pp. 1397-1410, Oct. 2001.
5. G. M. Robbins, "Image restoration for a class of linear spatially variant degradations," Pattern Recognit., vol. 2, pp. 91-103, 1970.
6. A. A. Sawchuck, "Space-variant image restoration by coordinate transformation," J. Opt. Soc. Amer., vol. 64, pp. 138-144, Feb. 1974.
7. A. Grossman and J. Morlet, "Decomposition of Hardy functions into square integrable wavelets of constant shape," SIAM J. Math. Anal. vol. 15, no. 4, pp. 723-736, Jul. 1984.
8. S. Mallat, A Wavelet Tour of Signal Processing. New York: Academic, 1999.
9. B. K. P. Horn, Robot Vision. Cambridge, MA: MIT Press, 1985.
10. A. C. Bovik, P. Maragos, and T. F. Quatieri, "AM-FM energy detection and separation in noise using multiband energy operators," IEEE Trans. Signal Process.., vol. 41, no. 12, pp. 3245-3265, Dec. 1993.
11. A. C. Bovik, The Handbook of Image and Video Processing. New York: Academic, 2000.
12. A. Papoulis, The Fourier Integral and its Applications. New York: Mc-Graw-Hill, 1962.
13. S. O. Rice, "Mathematical analysis of random noise," Bell Syst. Tech. J., vol. 23, pp. 282-332, Jul. 1944.
14. R. Etienne-Cummings, J. Van der Spiegel, P. Mueller, and M. Z. Zhang, "A foveated silicon retina for two-dimensional tracking," IEEE Trans. Circuits Syst. II, vol. 47, pp. 504-517, Jun. 2000.
15. M. Bolduc and M. D. Levine, "A review of biologically motivated space-variant data reduction models for robotic vision," Comput. Vis. Image Understanding, vol. 69, pp. 170-184, 1998.
16. C. Braccini, G. Gambardella, and G. Sandini, "A signal theory approach to the space and frequency variant filtering performed by the human visual system," Signal Process., vol. 3, pp. 231-240, 1981.
17. P. Perona, "Deformable kernels for early vision," IEEE Trans. Pattern Anal. Mach. Intell., vol. 17, no. 5, pp. 488-499, May 1995.
18. W. S. Geisler and J. S. Perry, "A real-time foveated multiresolution system for low-bandwidth video communication," Proc. SPIE, vol. 3299, no. 1, pp. 294-305, Jan. 1998.
19. P. Kortum and W. Geisler, " Implementation of a foveated image coding system for image bandwidth reduction," Proc. SPIE, vol. 2657, no. 1, pp. 350-360, Jan. 1996.
20. W. T. Freeman and E. H. Adelson, "The design and use of steerable filters," IEEE Trans. Pattern Anal. Mach. Intell., vol. 13, no. 9, pp. 891-906, Sep. 1991.
21. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multiscale transforms," IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 587-607, Mar. 1992.
22. A. Tabernero, J. Portilla, and R. Navarro, "Duality of a log-polar image representation in the space and the spatial frequency domains," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2469-2479, Sep. 1999.
23. S. O. Rice, "Mathematical analysis of random noise," Bell Syst. Tech. J., vol. 24, pp. 46-156, Jan. 1945.