The median operator is a nonlinear (morphological) image transformation which has become very popular because it can suppress noise while preserving the edges. It treats the foreground and background of an image in an identical way that is, it is a self-dual operator. Unfortunately, the median operator lacks the idempotence property: it is not a morphological filter. This paper gives a complete characterization of morphological operators on discrete binary images which are increasing, translation invariant, and self-dual. Furthermore, it presents a general method for the modification of an increasing operator such that it becomes activity-extensive. Such modifications lead to idempotent operators under iteration. The general procedure is illustrated by giving several modifications of the 3/spl times/3 median operator.<>


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Construction of self-dual morphological operators and modifications of the median


    Contributors:


    Publication date :

    1994-01-01


    Size :

    394371 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Construction of Self-Dual Morphological Operators and Modifications of the Median

    Heijmans, H. J. A. M. / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994


    Self-Dual Morphological Operators and Filters

    Heijmans, H. J. A. M. | British Library Online Contents | 1996


    Performance of dual strength median barrier system

    Ko, Man Gi / Kim, Kee Dong / Sung, Jung Gon | Springer Verlag | 2005


    Morphological Operators for Image Sequences

    Goutsias, J. / Heijmans, H. J. A. M. / Sivakumar, K. | British Library Online Contents | 1995


    Automatic design of morphological operators

    Dougherty, E. R. | British Library Online Contents | 2004