Distribution of the pattern spectrum mean for convex base images Conference Paper uri icon

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.

name of conference

  • Nonlinear Image Processing II

published proceedings

  • Proceedings of SPIE

author list (cited authors)

  • Dougherty, E. R., & Sand, F. M.

citation count

  • 0

complete list of authors

  • Dougherty, Edward R||Sand, Francis M

editor list (cited editors)

  • Dougherty, E. R., Arce, G. R., & Boncelet, Jr., C. G.

publication date

  • April 1991