Distribution of the pattern spectrum mean for convex base images
Conference Paper
Overview
Identity
Additional Document Info
Other
View All
Overview
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 a 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 analysed.