RECURSIVE MAXIMUM-LIKELIHOOD-ESTIMATION IN THE ONE-DIMENSIONAL DISCRETE BOOLEAN RANDOM SET MODEL

被引：11

作者：

DOUGHERTY, ER

HANDLEY, JC

机构：

[1] Center for Imaging Science, Rochester Institute of Technology, Rochester, NY 14623-5604

来源：

SIGNAL PROCESSING | 1995年 / 43卷 / 01期

关键词：

BOOLEAN PROCESS; MAXIMUM-LIKELIHOOD ESTIMATION; RANDOM SET;

D O I：

10.1016/0165-1684(94)00139-Q

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The exact probability density for a windowed observation of a discrete one-dimensional Boolean process having convex grains is found via recursive probability expressions. This observation density is used as the likelihood function for the process and numerically yields the maximum-likelihood estimator for the process intensity and the parameters governing the distribution of the grain lengths. The only restriction on the derivation is that the length distribution not be too heavy tailed. Maximum-likelihood estimation is applied in the cases of uniformly and Poisson distributed lengths. The entire approach applies to unions of independent Boolean processes.

引用

页码：1 / 15

页数：15

共 14 条

[1]

Astola, Koskinen, Neuvo, Statistical properties of discrete morphological filters, Mathematical Morphology in Image Processing, (1993)

[2]

Bettoli, Dougherty, Linear granulometric moments of noisy binary images, J. Math. Imaging Vision, 3, 3, pp. 299-319, (1993)

[3]

Cressie, Laslett, Random set theory and problems of modeling, SIAM Rev., 29, 4, pp. 557-574, (1987)

[4]

Goutsias, On the morphological analysis of discrete random sets, J. Math. Imaging Vision, 2, 2-3, pp. 193-215, (1992)

[5]

Hall, Introduction to the Theory of Coverage Processes, (1988)

[6]

Koskinen, Astola, Asymptotic behavior of morphological filters, J. Math. Imaging Vision, 2, 2-3, pp. 117-135, (1992)

[7]

Matheron, Random Sets and Integral Geometry, (1975)

[8]

Preteux, Schmitt, Boolean texture analysis synthesis, Image Analysis and Mathematical Morphology, 2, (1988)

[9]

Serra, The Boolean model and random sets, Comput. Graphics Image Process., 12, pp. 99-126, (1980)

[10]

Serra, Image Analysis and Mathematical Morphology, (1982)

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