22 Order statistics in image processing

Handbook of Statistics

Volumn 17, Issue , 1998, Pages 603-641

  Acton, Scott T ^a   Bovik, Alan C ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000932444     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(98)17024-4     Document Type: Review

References (67)

1. Acton S.T., and Bovik A.C. Nonlinear regression for image enhancement via generalized deterministic annealing. Proc. of the SPIE Symp. Visual Commun. Image Process. Boston, Nov. 7-12 (1993)
2. Acton S.T., and Bovik A.C. Segmentation using piecewise constant regression. Proc of the SPIE Symp. Visual Commun. Image Process. Chicago, September 25-28 (1994)
3. Acton S.T., and Bovik A.C. Piecewise and local class models for image restoration. IEEE Int. Conf. Image Process. Austin, TX, Nov. 13-16 (1994)
4. Arce G.A., and McLoughlin M.P. Theoretical analysis of the max/median filter. IEEE Trans. Acoust., Speech, Signal Process. ASSP-35 (1987) 60-69
5. Arce G.A., and Foster R.E. Detail-preserving ranked-order based filters for image processing. IEEE Trans. Acoust., Speech, Signal Process. ASSP-37 (1989) 83-98
6. Ataman E., Aatre V.K., and Wong K.M. A fast method for real-time median filtering. IEEE Trans. Acoust., Speech, Signal Process. ASSP-28 (1980) 415-420
7. Barner K.E., Arce G.R., and Lin J.-H. On the performance of stack filters and vector detection in image restoration. Circuits Syst. Signal Process. 11 (1992)
8. Barner K.E., and Arce G.R. Permutation filters: A class of nonlinear filters based on set permutations. IEEE Trans. Signal Process. 42 (1994) 782-798
9. Bednar J.B., and Watt T.L. Alpha-trimmed means and their relationship to median filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-32 (1984) 145-153
10. Blum H. A transformation for extracting new descriptors of shape. In: Wathen-Dunn W. (Ed). Models for the Perception of Speech and Visual Forms (1973), MIT Press
11. Boncelet C.G. Algorithms to compute order statistic distributions. SIAM J. Sci. Stat. Comput. 8 9 (1987) 868-876
12. Bovik A.C., Huang T.S., and Munson Jr. D.C. A generalization of median filtering using linear combinations of order statistics. IEEE Trans. Acoust., Speech, Signal Process. ASSP-31 (1983) 1342-1350
13. Bovik A.C., Huang T.S., and Munson Jr. D.C. Edge sensitive image restoration using order-constrained least-squares methods. IEEE Trans. Acoust., Speech, Signal Process. ASSP-33 (1985) 1253-1263
14. Bovik A.C., and Munson Jr. D.C. Edge detection using median comparisons. Comput. Vision, Graphics. Image Process. 33 (1986) 377-389
15. Bovik A.C. Streaking in Median Filtered Images. IEEE Trans. Acoust., Speech, Signal Process. ASSP-35 (1987) 493-503
16. Bovik A.C., and Restrepo (Palacios) A. Spectral properties of moving L-estimates of independent data. J. Franklin Inst. 324 (1987) 125-137
17. Bovik A.C., Huang T.S., and Munson Jr. D.C. The effect of median filtering on edge estimation and detection. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-9 (1987) 181-194
18. Coyle E.J., and Lin J.-H. Stack filters and the mean absolute error criterion. IEEE Trans. Acoust., Speech, Signal Process. ASSP-36 (1988) 1244-1254
19. Coyle E.J., Lin J.-H., and Gabbouj M. Optimal stack filtering and the estimation and structural approaches to image processing. IEEE Trans. Acoust., Speech, Signal Process. ASSP-37 12 (1989)
20. Crow E.L., and Siddiqui M.M. Robust estimation of location. J. Amer. Statist. Assoc. 62 (1967) 353-389
21. David H.A. A note on moving ranges. Biometrika 42 (1955) 512-515
22. David H.A. Order Statistics (1982), Wiley, Cambridge
23. Eberly D., Longbotham H.G., and Aragon J. Complete classification of roots of one-dimensional median and rank-order filters. IEEE Trans. Signal Process. 39 (1991) 197-200
24. Fitch J.P., Coyle E.J., and Gallagher N.C. Median filtering by threshold decomposition. IEEE Trans. Acoust., Speech, Signal Process. ASSP-32 (1984) 1183-1188
25. Fitch J.P., Coyle E.J., and Gallagher N.C. Threshold decomposition of multidimensional ranked-order operations. IEEE Trans. Circuits Syst. CAS-32 (1985) 445-450
26. Frieden B.R. A new restoring algorithm for the preferential enhancement of edge gradients. J. Opt. Soc. Amer. 66 (1976) 280-283
27. Gallagher N.C., and Wise G.L. A theoretical analysis of the properties of median filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-29 (1981) 1136-1141
28. Gastwirth J.L., and Cohen M.L. Small sample behavior of some robust linear estimates of location. J. Amer. Statist. Assoc. 65 (1970) 946-973
29. Ghandi P., and Kassam S.A. Design and performance of combination filters. IEEE Trans. Signal Process. 39 7 (1991)
30. Heijmans H.J.A.M. Construction of self-dual morphological operators and modifications of the median. IEEE Int. Conf. Image Process. Austin, TX, Nov. 13-16 (1994)
31. Heijmans H.J.A.M. Mathematical morphology as a tool for shape description. In: Ying-Lie O., et al. (Ed). Shape in Picture: Mathematical Description of Shape in Gray-level Images (1994), Springer-Verlag, New York
32. Heinonen P., and Neuvo Y. FIR-median hybrid filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-35 (1987) 145-153
33. Huang T.S., Yang G.J., and Tang G.Y. A fast two-dimensional median filtering algorithm. IEEE Trans. Acoust., Speech, Signal Process. ASSP-27 (1979) 13-18
34. Kuhlman F., and Wise G.L. On the second moment properties of median filtered sequences of independent data. IEEE Trans. Commun. COM-29 (1981) 1374-1379
35. Lee Y.H., and Kassam S.A. Generalized median filtering and related nonlinear filtering techniques. IEEE Trans. Acoust., Speech, Signal Process. ASSP-33 (1985) 672-683
36. Liao G.-Y., Nodes T.N., and Gallagher N.C. Output distributions of two-dimensional median filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-33 (1985) 1280-1295
37. Lin J.-H., Selke T.M., and Coyle E.J. Adaptive stack filtering under the mean absolute error criterion. IEEE Trans. Acoust., Speech, Signal Process. ASSP-38 6 (1990) 938-953
38. Lloyd E.H. Least-squares estimation of location and scale parameters using order statistics. Biometrika 39 (1952) 88-95
39. Longbotham H.G., and Bovik A.C. Theory of order statistic filters and their relationship to linear FIR filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-37 (1989) 275-287
40. Longbotham H.G., and Eberly D. Statistical properties, fixed points, and decomposition with WMMR filters. J. Math. Imaging and Vision 2 (1992) 99-116
41. Longbotham H.G., and Eberly D. The WMMR filters: A class of robust edge enhancers. IEEE Trans. Signal Process. 41 (1993) 1680-1684
42. Maragos P., and Schafer R.W. Morphological filters-Part II. IEEE Trans. Acoust., Speech, Signal Process. ASSP-35 (1987)
43. McLoughlin M.P., and Arce G.A. Deterministic properties of the recursive separable median filter. IEEE Trans. Acoust., Speech, Signal Process. ASSP-35 (1987) 98-106
44. Naaman L., and Bovik A.C. Least squares order statistic filters for signal restoration. IEEE Trans. Circuits and Syst. 38 (1991) 244-257
45. Neiminen A., Heinonen P., and Nuevo Y. A new class of detail-preserving filters for image processing. IEEE Trans. Pattern Anal. Machine Intell. PAMI-9 (1987)
46. Nodes T.A., and Gallagher N.C. Median filters: Some modifications and their properties. IEEE Trans. Acoust., Speech, Signal Process. ASSP-30 (1982) 739-746
47. Nodes T.A., and Gallagher N.C. Two-dimensional root structures and convergence properties of the separable median filter. IEEE Trans. Acoust., Speech, Signal Process. ASSP-31 (1983) 1350-1365
48. Oflazer K. Design and implementation of a single-chip median filter. IEEE Trans. Acoust., Speech, Signal Process. ASSP-31 (1983)
49. Palmieri F., and Boncelet Jr. C.G. Ll-Filters-A new class of order statistic filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-37 (1989)
50. Pitas I., and Venetsanopoulos A.N. Morphological shape decomposition. IEEE Trans. Pattern Anal. and Mach. Intell. PAMI-12 (1990) 38-45
51. Rabiner L.R., Sambur M.R., and Schmidt C.E. Applications of a nonlinear smoothing algorithm to speech processing. IEEE Trans. Acoust., Speech, Signal Process. ASSP-23 (1975) 552-557
52. Restrepo (Palacios) A., and Bovik A.C. Spectral analysis of order statistic filters. IEEE Int'l Conf. Acoust., Speech, Signal Process. Tokyo (1986)
53. Restrepo (Palacios) A., and Bovik A.C. Adaptive trimmed mean filters for image restoration. IEEE Trans. on Acoustics, Speech, and Signal Processing 36 (1988) 1326-1337
54. Restrepo (Palacios) A., and Bovik A.C. Windowed locally monotonic regression. IEEE Int'l Conf. Acoust., Speech, Signal Process. Toronto (1991)
55. Restrepo (Palacios) A., and Bovik A.C. Locally monotonic regression. IEEE Trans. Signal Process. 41 (1993) 2796-2810
56. Restrepo (Palacios) A., and Bovik A.C. On the statistical optimality of locally monotonic regression. IEEE Trans. Signal Process. 42 (1994)
57. Sarhan A.E. Estimation of the mean and standard deviation by order statistics. Ann. Math. Stat. 25 (1955) 317-328
58. Sarhan A.E. Estimation of the mean and standard deviation by order statistics Part II. Ann. Math. Stat. 26 (1955) 505-511
59. Sarhan A.E. Estimation of the mean and standard deviation by order statistics Part III. Ann. Math. Stat. 26 (1955) 576-592
60. Serra J. Image Analysis and Morphology: Volume 2: The Theoretical Advances (1988), Academic Press, Berlin
61. Serra J., and Vincent L. An overview of morphological filtering. Circuits, Systems, and Signal Processing 11 1 (1992) 47-108
62. Tukey J.W. Exploratory Data Analysis (1971), Addison-Wesley, London
63. EASCON, 673, 1974 (also available in The Collected Works of John W. Tukey, II, Time Series: 1965-1984, D. R. Brillinger, Ed. Wadsworth, Monterey, CA.). Tukey J.W. Nonlinear (nonsuperimposable) methods for smoothing data. Conf. Rec. (1984)
64. Tyan S.G. Median filtering: Deterministic properties. In: Huang T.S. (Ed). Two-dimensional Signal Processing: Transforms and Median Filters (1981), Springer-Verlag, New York
65. Velleman P.F. Definition and comparison of robust nonlinear data smoothing algorithms. J. Am. Stat. Ass. vol. 75 (1980) 609-615
66. Vincent L. Morphological area openings and closing for grey-scale images. In: Ying-Lie O. (Ed). Shape in Picture: Mathematical Description of Shape in Grey-level Images (1994), Springer-Verlag 197-208
67. Wendt P.D., Coyle E.J., and Gallagher Jr. N.C. Stack filters. IEEE Trans. Acoust., Speech, Signal Process. ASSP-34 (1986) 898-911