Conditional-expectation-based implementation of the optimal mean-square binary morphological filter Conference Paper uri icon

abstract

  • Even in the binary case, designing optimal morphological filters involves a time-consuming search procedure that, in practice, can be intractable. The present paper provides an algorithm for filter design that is based upon the relationship between the optimal morphological filter and the conditional expectation. In effect, the algorithm proceeds by changing the conditional expectation into a morphological filter while at the same time increasing the mean-square error a minimal amount. Under many noise environments, the new algorithm is extremely efficient, thereby providing a filter design that can be used online for structuring-element updating.

name of conference

  • Nonlinear Image Processing II

published proceedings

  • Proceedings of SPIE

author list (cited authors)

  • Dougherty, E. R., Mathew, A. V., & Swarnakar, V.

citation count

  • 11

complete list of authors

  • Dougherty, Edward R||Mathew, Athimootil V||Swarnakar, Vivek

editor list (cited editors)

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

publication date

  • April 1991