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1 April 1991 Distribution of the pattern spectrum mean for convex base images
Edward R. Dougherty, Francis M. Sand
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Proceedings Volume 1451, Nonlinear Image Processing II; (1991) https://doi.org/10.1117/12.44319
Event: Electronic Imaging '91, 1991, San Jose, CA, United States
Abstract
In texture and pattern analysis, the granulometric size distribution is related to morphological features. The mean of this distribution--the pattern spectrum mean--can be used for feature analysis. In this paper, we treat the pattern spectrum as a random function and its moments as random variables. The grain model is as follows: the number of grains is held fixed for the image segment and grains are assumed convex. Generalization to the case of random number of grains is desirable; only limited results are available for this case so far. The statistical distribution of the pattern spectrum mean is studied under two alternative models: Normal and Gamma. The asymptotic distribution of the PSM is developed under each model. A special case of random numbers of grains per segment is analyzed.
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Edward R. Dougherty and Francis M. Sand "Distribution of the pattern spectrum mean for convex base images", Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); https://doi.org/10.1117/12.44319
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KEYWORDS
Image segmentation
Nonlinear image processing
Statistical analysis
Statistical modeling
Mathematical modeling
Stochastic processes
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