Morphological filters: Statistics and further syntactic properties

IEEE Transactions on Circuits and Systems

Volumn 34, Issue 11, 1987, Pages 1292-1305

  Arce, Gonzalo R ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

image filtering; mathematical morphology; threshold decomposition

Indexed keywords

IMAGE PROCESSING;

FUNCTION AND SET PROCESSING (FSP) SYSTEMS; PROBABILISTIC MAPPINGS; RANDOM SIGNALS MORPHOLOGICAL FILTERING; STRUCTURE PRESERVING PROPERTIES;

SIGNAL FILTERING AND PREDICTION;

EID: 0023670112     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1987.1086067     Document Type: Article

References (11)

1. G. Matheron, Random Sets and Integral Geometry. New York: Wiley, 1975.
2. J. Serra, Image Analysis and Mathematical Morphology. New York: Academic, 1982.
3. P. Maragos, “Morphology-Based Multidimensional Signal Processing,” in Proc. 1987 Conf. on Information Sciences and Systems (Baltimore, MD), Mar. 1987.
4. —,. “A unified theory of translation-invariant systems with applications to morphological analysis and coding of images,” Ph.D. dissertation, Georgia Institute of Technology, Atlanta, July 1985.
5. N. C. Gallagher, Jr., and G. L. Wise, “A theoretical analysis of the properties of median filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, Dec. 1981.
6. P. M. Narenda, “Noise reduction by median filtering,” Proc. IEEE Conf. on Pattern Recognition, 1978.
7. G. R. Arce, N. C. Gallagher, and T. A. Nodes, “Median filter: Theory for one and two dimensional filters,” in Advances in Computer Vision and Image Processing, (T. S. Huang, Ed.), vol. 2, ch. 3, JAI Press, 1986.
8. J. P. Fitch, E. J. Coyle, and N. C. Gallagher, Jr., “Median filtering by threshold decomposition,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, Dec. 1984.
9. G. R. Arce and R. L. Stevenson, “On the synthesis of median filter systems,” IEEE Trans. Circuits Syst., vol. CAS-34, Apr. 1987.
10. G. R. Arce and M. P. McLoughlin, “Theoretical analysis of the max/median filter,” IEEE Trans. Acoust. Speech, Signal Processing, vol. ASSP-35, Jan. 1987.
11. H. A. David, Order Statistics. New York: Wiley, 1970.