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
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/36571 |
| Date | 22 May 1991 |
| Creators | Zhu, Feihong |
| Contributors | Kolodziej, Wojciech J. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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