Stack Filter Design: A Structural Approach

IEEE Transactions on Signal Processing

Volumn 43, Issue 4, 1995, Pages 831-840

  Yin, Lin ^a  

^a NOKIA RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; DIGITAL SIGNAL PROCESSING; ELECTROMAGNETIC WAVE ATTENUATION; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS; SIGNAL FILTERING AND PREDICTION;

OPTIMAL STACK FILTER; OUTPUT MOMENTS; STRUCTURAL CONSTRAINTS;

DIGITAL FILTERS;

EID: 0029291448     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.376836     Document Type: Article

References (27)

1. G. R. Arce and R. E. Foster, “Detailed preserving ranked-order based filters for image processing,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 83-98, Jan. 1989.
2. G. R. Arce and R. L. Stevenson, “On the synthesis of median filter system,” IEEE Trans. Circuits Syst., vol. CAS-34, no. 4, pp. 420-429, Apr. 1987.
3. E. J. Coyle and J. H. Lin, “Optimal stacking filters and mean absolute error nonlinear filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, no. 8, pp. 1244-1254, Aug. 1988.
4. E. J. Coyle, J.-H. Lin, and M. Gabbouj, “Optimal stack filtering and the estimation and structural approaches to image processing,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 12, pp. 2037-2066, Dec. 1989.
5. J. P. Fitch, E. J. Coyle, and N. C. Gallagher, Jr., “Median filtering by threshold decomposition,” IEEE Trans. Acoustic., Speech, Signal vol. ASSP-32, 1183-1188, Dec. 1984.
6. M. Gabbouj and E. J. Coyle, “Minimum mean absolute error stack filtering with structural constraints and goals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, no. 6, pp. 955-968, June 1990.
7. E. N. Gilbert, “Lattice theoretic properties of frontal switching functions,” J. Math. Phys., vol. 33, pp. 57-67, 1954.
8. P. Heinonen and Y. Neuvo, “FIR-median hybrid filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 6, pp. 832-838, June 1987.
9. B. I. Justusson, “Median filtering: Statistical properties,” Two-Dimensional Digital Signal Processing II, T. S. Huang, Ed. New York: 1981.
10. Z. Kohavi, Switching and Finite Automata Theory. New York: McGraw-Hill, 1970.
11. J. H. Lin, T. M. Sellke, and E. J. Coyle, “Adaptive stack filtering under the mean absolute error criterion,” IEEE Trans. Acoust., Speech, Signal vol. 38, no. 6, 938-954, June 1990.
12. P. A. Maragos and R. W. Schafer, “A unification of linear, median, order statistics, and morphological filters under mathematical morphology,” in Proc. 1985 Int. Conf. Acoust., Speech, Signal Processing, Tampa, FL, Mar. 1985.
13. E. Mendelson, Boolean Algebra and Switching Circuits. New York: McGraw-Hill, 1987.
14. S. Muroga, Threshold Logic and Its Applications. New York: Wiley, 1971.
15. A. Nieminen, P. Heinonen, and Y. Neuvo, “A new class of detail-preserving filters for image processing,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-9, Jan. 1987.
16. T. A. Nodes and N. C. Gallagher, Jr., “The output distribution of median type filters,” IEEE Trans. Commun., vol. COM-32, no. 5, May 1984.
17. L. Pitas and A. N. Venetsanopoulos, Nonlinear Digital Filters: Principles and Applications. Norwell, MA: Kluwer, 1990.
18. R. L. Stevenson and G. R. Arce, “Morphological filters: Statistics and further syntactic properties,” IEEE Trans. Circuits Syst., vol. CAS-34, no. 11, pp. 1292-1305, Nov. 1987.
19. C. L. Sheng, Threshold Logic. New York: Academic, 1969.
20. P. D. Wendt, E. J. Coyle, and N. C. Gallagher, Jr., “Stack filter,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 4, pp. 898-911, Aug. 1986
21. R. Yang, L. Yin, M. Gabbouj, and Y. Neuvo, “2-D optimal weighted median filters,” in Proc. IEEE Workshop Vis. Signal Processing Commun., North Carolina, Sept. 1992, pp. 31-35.
22. R. Yang, L. Yin, M. Gabbouj, J. Astola, and Y. Neuvo, “Optimal weighted median filters under the structural constraints,” Submitted to IEEE Trans. Signal Processing, Dec. 1992.
23. L. Yin, J. Astola, and Y. Neuvo, “Adaptive stack filtering with application to image processing,” IEEE Trans. Signal Processing, vol. 41, no. 1, pp. 162-184, Jan. 1993.
24. “Adaptive multistage weighted order statistic filters based on the backpropagation algorithm,” IEEE Trans. Signal Processing, vol. 42, no. 2, pp. 419-422, Feb. 1994.
25. O. Yli-Harja, J. Astola, and Y. Neuvo, “Analysis of the properties of median and weighted median filters using threshold logic and stack filter representation,” IEEE Trans. Signal Processing, vol. 39, no. 2, pp. 395-410, Feb. 1991.
26. P.-T. Yu and E. J. Coyle, “The classification and associative memory capability of stack filters,” IEEE Trans. Signal Processing, vol. 40, no. 10, pp. 2483-2497, Oct. 1992.
27. P.-T. Yu, “Some representation properties of stack filters,” IEEE Trans. Signal Processing, vol. 40, no. 9, pp. 2261-2266, Sept. 1992.