Basis decomposition of morphological operations

Ron Jones, Imants Svalbe

    Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

    1 Citation (Scopus)


    The choice and detailed design of structuring elements plays a pivotal role in the morphologic processing of images. This paper promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics.

    Original languageEnglish
    Title of host publicationIAPR 1992 - 11th IAPR International Conference on Pattern Recognition
    Subtitle of host publicationImage, Speech, and Signal Analysis
    PublisherIEEE, Institute of Electrical and Electronics Engineers
    Number of pages4
    ISBN (Electronic)0818629207
    Publication statusPublished - 1 Jan 1992
    EventInternational Conference on Pattern Recognition 1992 - The Hague, Netherlands
    Duration: 30 Aug 19921 Sept 1992
    Conference number: 11th (Proceedings)


    ConferenceInternational Conference on Pattern Recognition 1992
    Abbreviated titleIAPR 1992
    CityThe Hague
    Internet address

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