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Volumn 31, Issue 1, 1998, Pages 53-61

Asymptotic granulometric mixing theorem: Morphological estimation of sizing parameters and mixture proportions

Author keywords

Estimation; Granulometry; Mathematical morphology; Mixing proportions; Random sets

Indexed keywords

ALGORITHMS; IMAGE PROCESSING; MATHEMATICAL MORPHOLOGY; MAXIMUM LIKELIHOOD ESTIMATION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; TWO DIMENSIONAL;

EID: 0031628592     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(97)00022-8     Document Type: Article
Times cited : (28)

References (25)
  • 2
    • 0018911511 scopus 로고
    • The Boolean model and random sets
    • J. Serra, The Boolean model and random sets, Comput. Graphics Image Process. 12, 99-126 (1980).
    • (1980) Comput. Graphics Image Process , vol.12 , pp. 99-126
    • Serra, J.1
  • 3
    • 0003373160 scopus 로고
    • Boolean texture analysis and synthesis
    • J. Serra, ed. Academic Press, New York
    • F. Preteux and M. Schmitt, Boolean texture analysis and synthesis, in Image Analysis and Mathematical Morphology, Vol. 2, J. Serra, ed. Academic Press, New York (1988).
    • (1988) Image Analysis and Mathematical Morphology , vol.2
    • Preteux, F.1    Schmitt, M.2
  • 5
    • 0023562446 scopus 로고
    • Random set theory and problems of modeling
    • N. Cressie and G. M. Laslett, Random set theory and problems of modeling, SIAM Rev. 29(4), 557-574 (1987).
    • (1987) SIAM Rev. , vol.29 , Issue.4 , pp. 557-574
    • Cressie, N.1    Laslett, G.M.2
  • 7
    • 0000220346 scopus 로고
    • Densities for stationary random sets and point processes
    • W. Weil and J. A. Wieacker, Densities for stationary random sets and point processes, Adv. Appl. Probab. 16, 324-346 (1984).
    • (1984) Adv. Appl. Probab. , vol.16 , pp. 324-346
    • Weil, W.1    Wieacker, J.A.2
  • 8
    • 84986703405 scopus 로고
    • Expectation formulas and isoperimetric properties for non-isotropic Boolean models
    • W. Weil, Expectation formulas and isoperimetric properties for non-isotropic Boolean models, Microscopy 151(3), 235-245 (1988).
    • (1988) Microscopy , vol.151 , Issue.3 , pp. 235-245
    • Weil, W.1
  • 9
    • 0029288520 scopus 로고
    • Recursive maximum-likelihood estimation in the one-dimensional discrete Boolean random set model
    • E. R. Dougherty and J. Handley, Recursive maximum-likelihood estimation in the one-dimensional discrete Boolean random set model, Signal Process. 43(1), 1-15 (1995).
    • (1995) Signal Process , vol.43 , Issue.1 , pp. 1-15
    • Dougherty, E.R.1    Handley, J.2
  • 10
    • 0028465607 scopus 로고
    • Algebraic analysis of the generating functional for discrete random sets and statistical inference for intensity in the discrete Boolean random-set model
    • N. D. Sidiropoulos, J. S. Baras and C. A. Berenstein, Algebraic analysis of the generating functional for discrete random sets and statistical inference for intensity in the discrete Boolean random-set model, Math. Imaging Vision 4(3), 273-290 (1994).
    • (1994) Math. Imaging Vision , vol.4 , Issue.3 , pp. 273-290
    • Sidiropoulos, N.D.1    Baras, J.S.2    Berenstein, C.A.3
  • 11
    • 0040003105 scopus 로고
    • On the morphological analysis of discrete random sets
    • J. Goutsias, On the morphological analysis of discrete random sets, Math. Imaging Vision 2(2/3), 193-215 (1992).
    • (1992) Math. Imaging Vision , vol.2 , Issue.2-3 , pp. 193-215
    • Goutsias, J.1
  • 12
    • 0029921543 scopus 로고    scopus 로고
    • Maximum-likelihood estimation for discrete boolean models using linear samples
    • J. C. Handley and E. R. Dougherty, Maximum-likelihood estimation for discrete Boolean models using linear samples, Microscopy 182(1), 67-78 (1996).
    • (1996) Microscopy , vol.182 , Issue.1 , pp. 67-78
    • Handley, J.C.1    Dougherty, E.R.2
  • 16
    • 0003012271 scopus 로고
    • Morphological segmentation for textures and particles
    • E. R. Dougherty, ed. Marcel Dekker, New York
    • L. Vincent and E. R. Dougherty, Morphological segmentation for textures and particles, in Digital Image Processing Methods, E. R. Dougherty, ed. Marcel Dekker, New York (1994).
    • (1994) Digital Image Processing Methods
    • Vincent, L.1    Dougherty, E.R.2
  • 17
    • 0026940558 scopus 로고
    • Morphological texture-based maximum-likelihood pixel classification based on local granulometric moments
    • E. R. Dougherty, J. Newell and J. Pelz, Morphological texture-based maximum-likelihood pixel classification based on local granulometric moments, Pattern Recognition 25(10), 1181-1198 (1992).
    • (1992) Pattern Recognition , vol.25 , Issue.10 , pp. 1181-1198
    • Dougherty, E.R.1    Newell, J.2    Pelz, J.3
  • 18
    • 0028493892 scopus 로고
    • Gray-scale morphological granulometric texture classification
    • Y. Chen and E. R. Dougherty, Gray-scale morphological granulometric texture classification, Optical Eng. 33(8), 2713-2722 (1994).
    • (1994) Optical Eng. , vol.33 , Issue.8 , pp. 2713-2722
    • Chen, Y.1    Dougherty, E.R.2
  • 19
    • 0043257521 scopus 로고
    • Monte-carlo estimation of morphological granulometric discrete size distributions
    • J. Serra and P. Soille, eds. Kluwer Academic Publishers, Dordrecht
    • K. Sivakumar and J. Goutsias, Monte-carlo estimation of morphological granulometric discrete size distributions, in Mathematical Morphology and its Application to Image Processing, J. Serra and P. Soille, eds. Kluwer Academic Publishers, Dordrecht (1994).
    • (1994) Mathematical Morphology and Its Application to Image Processing
    • Sivakumar, K.1    Goutsias, J.2
  • 20
    • 0000606514 scopus 로고
    • Asymptotic normality of the morphological pattern - Spectrum moments and orthogonal granulometric generators
    • F. Sand and E. R. Dougherty, Asymptotic normality of the morphological pattern - spectrum moments and orthogonal granulometric generators, Visual Comm. Image Representation 3(2), 203-214 (1992).
    • (1992) Visual Comm. Image Representation , vol.3 , Issue.2 , pp. 203-214
    • Sand, F.1    Dougherty, E.R.2
  • 21
    • 0029273873 scopus 로고
    • Representation of linear granulometric moments for deterministic and random binary Euclidean images
    • E. R. Dougherty and F. Sand, Representation of linear granulometric moments for deterministic and random binary Euclidean images, Visual Comm. Image Representation 6(1), 69-79 (1995).
    • (1995) Visual Comm. Image Representation , vol.6 , Issue.1 , pp. 69-79
    • Dougherty, E.R.1    Sand, F.2
  • 25
    • 0023329681 scopus 로고
    • Error bounds for morphologically derived measurements
    • E. R. Dougherty and C. R. Giardina, Error bounds for morphologically derived measurements, SIAM J. Appl. Math. 47(2), 425-440 (1987).
    • (1987) SIAM J. Appl. Math. , vol.47 , Issue.2 , pp. 425-440
    • Dougherty, E.R.1    Giardina, C.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.