Thesis (Ph.D.)--University of Delaware, 2006. / Principal faculty advisor: Lian-Ping Wang, Dept. of Mechanical Engineering. Includes bibliographical references.

Most of the existing research on mathematical morphology is restricted to the deterministic case. This thesis addresses the void in the results on the stochastic properties of morphological filters. The primary results include analysis of the stochastic properties of morphological operations, such as dilation, erosion, closing and opening. Two unbiased morphological filters are introduced and a quantitative description of the probability distribution function of morphological operations on independent, identically distributed random signals is obtained. Design of an optimal morphological filter in the sense of a criterion proposed here is also discussed. A brief, but systematic description of the definitions and properties of deterministic morphological operations on sets is presented to establish the necessary background for the analysis of the filter stochastic properties. / Graduation date: 1992

No description available.

Thesis (Ph. D.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 140-150).

Thesis (Ph. D.)--University of Washington, 2000. / Vita. Includes bibliographical references (p. 91-97).

Thesis--Ph. D., University of Hong Kong. / Mimeographed. Also available on microfilm.

Not available / text

published_or_final_version / abstract / toc / Mathematics / Master / Master of Philosophy

published_or_final_version / Civil Engineering / Doctoral / Doctor of Philosophy

No description available.