Asymptotic distributions for morphological granulometric moments Conference Paper uri icon

abstract

  • Treating a binary image as a random process results in the granulometric pattern spectrum being a random function and its moments being random variables. Because these moments are used as image signatures and as local texture descriptors, their statistical distributions, and in particular their moments, are of importance. The present paper employs a theorem of Cramer to show for a certain class of image models that the pattern-spectrum-moment distributions are asymptotically normal, and it provides asymptotic expressions for moments of the spectrum moments. To facilitate application of Cramer's theory the paper introduces the class of orthogonal granulometric generators.

name of conference

  • Image Algebra and Morphological Image Processing III

published proceedings

  • Proceedings of SPIE

author list (cited authors)

  • Sand, F. M., & Dougherty, E. R.

citation count

  • 1

complete list of authors

  • Sand, Francis M||Dougherty, Edward R

editor list (cited editors)

  • Gader, P. D., Dougherty, E. R., & Serra, J. C.

publication date

  • June 1992