Conditional-expectation-based implementation of the optimal mean-square binary morphological filter

Edward R. Dougherty; Athimootil V. Mathew; Vivek Swarnakar

doi:10.1117/12.44321

1 April 1991 Conditional-expectation-based implementation of the optimal mean-square binary morphological filter

Edward R. Dougherty, Athimootil V. Mathew, Vivek Swarnakar

Proceedings Volume 1451, Nonlinear Image Processing II; (1991) https://doi.org/10.1117/12.44321
Event: Electronic Imaging '91, 1991, San Jose, CA, United States

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.

Citation Download Citation

Edward R. Dougherty, Athimootil V. Mathew, and Vivek Swarnakar "Conditional-expectation-based implementation of the optimal mean-square binary morphological filter", Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); https://doi.org/10.1117/12.44321

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