Maximum-likelihood estimation and optimal filtering in the nondirectional, one-dimensional binomial germ-grain model

Pattern Recognition

Volumn 32, Issue 9, 1999, Pages 1529-1541

  Handley, John C ^a   Dougherty, Edward R ^b  

^a XEROX CORPORATION   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Boolean model; Coverage process; Image models; Maximum likelihood estimate; Optimal filter; Random process; Random set; Signal union noise model; Stochastic geometry

Indexed keywords

BOOLEAN FUNCTIONS; IMAGE PROCESSING; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR FILTERING; POISSON DISTRIBUTION; PROBABILITY; RANDOM PROCESSES;

BOOLEAN MODEL; COVERAGE PROCESS; IMAGE MODELS; ONE DIMENSIONAL BINOMIAL GERM GRAIN MODEL; RANDOM SET; SIGNAL UNION NOISE MODEL; STOCHASTIC GEOMETRY;

PATTERN RECOGNITION;

IMAGE PROCESSING; MAXIMUM LIKELIHOOD ANALYSIS;

EID: 0032851195     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(99)00019-9     Document Type: Article

References (13)

1. [1] U. Bindrich, D. Stoyan, Stereology for pores in wheat bread: statistical analyses for the Boolean model by serial sections, J. Microscopy 162 (2) (1992) 231-239.
2. [2] F. Preteux, M. Schmitt, Boolean texture analysis and synthesis, in: J. Serra (Ed.), Image Analysis and Mathematical Morphology, vol. 2, Academic Press, New York, 1988.
3. [3] P. Jeulin, Random models for morphological analysis of powders, J. Microscopy 172 (1) (1993) 13-21.
4. [4] I. Molchanov, Statistics of the Boolean Model for Practitioners and Mathematicians, Wiley, Chichester, 1997.
5. [5] P. Hall, Introduction to the Theory of Coverage Processes, Wiley, New York, 1988.
6. [6] J. Goutsias, Morphological analysis of discrete random shapes, J. Math. Imaging Vision 2 (1992) 193-215.
7. [7] N.D. Sidiropoulos, J.S. Baras, C.A. Berestein, Optimal filtering of digital binary images corrupted by union/intersection noise, IEEE Trans. Image Proc. 3 (4) (1994) 382-403.
8. [8] N.D. Sidiropoulos, J.S. Baras, C.A. Berestein, Algebraic analysis of the generating functional for discrete random sets and statistical inference for intensity in the discrete Boolean random-set model, Journal of Mathematical Imaging and Vision 4 (1994) 273-290.
9. [9] E.R. Dougherty, J.C. Handley, Recursive maximum-likelihood estimation in the one-dimensional discrete Boolean random set model, Signal Process. 43 (1) (1995) 1-15.
10. [10] J.C. Handley, E.R. Dougherty, Optimal nonlinear filter for signal-union-noise and runlength analysis in the directional one-dimensional discrete Boolean random set model, Signal Process. 51 (3) (1996) 147-166.
11. [11] J.C. Dougherty, J.C. Handley, Recursive decomposition in discrete coverage processes, in: D. Jeulin (Ed.) Proceedings of the International Symposium on Advances in Theory and Applications of Random Sets, Fountainebleau, France, World Scientific, Singapore, 9-11 October 1996, pp. 215-230.
12. [12] J.C. Handley, E.R. Dougherty, Maximum-likelihood estimation for discrete Boolean models using linear samples, J. Microscopy 182 (1) (1996) 67-78.
13. [13] J.C. Handley, E.R. Dougherty, Comparative analysis of discrete and continuous Boolean models, SPIE Proceedings, vol. 3167, San Diego, 1997, pp. 210-219.