Stochastic properties of morphological filters Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vh53wz577

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  • 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.
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  • description.provenance : Made available in DSpace on 2013-02-05T16:59:00Z (GMT). No. of bitstreams: 1 ZhuFeihong1992.pdf: 21764494 bytes, checksum: 4eae07cf97856ace037e2ed86909427e (MD5) Previous issue date: 1991-05-22
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-02-05T16:59:00Z (GMT) No. of bitstreams: 1 ZhuFeihong1992.pdf: 21764494 bytes, checksum: 4eae07cf97856ace037e2ed86909427e (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-01-24T19:59:03Z (GMT) No. of bitstreams: 1 ZhuFeihong1992.pdf: 21764494 bytes, checksum: 4eae07cf97856ace037e2ed86909427e (MD5)

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