Morphological operators transform the original image into another image through the interaction with the other image of certain shape and size which is known as the structure element. Mathematical morphology provides a systematic approach to analyze the geometric characteristics of signals or images, and has been applied widely too many applications such as edge detection, objection segmentation, noise suppression and so on. Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations such as fuzzy erosion, dilation, opening and closing, a general method based upon fuzzy implication and inclusion grade operators is introduced. The fuzzy morphological operations extend the ordinary morphological operations by using fuzzy sets where for fuzzy sets, the union operation is replaced by a maximum operation, and the intersection operation is replaced by a minimum operation. In this work, it consists of two articles. In the first one, fuzzy set theory, fuzzy Mathematical morphology which is based on fuzzy logic and fuzzy set theory; fuzzy Mathematical operations and their properties will be studied in details. As a second part, the application of fuzziness in Mathematical morphology in practical work such as image processing will be discussed with the illustration problems.


    Access

    Download


    Export, share and cite



    Title :

    Fuzzy Mathematical Morphology approach in Image Processing


    Contributors:

    Publication date :

    2008-06-27


    Remarks:

    oai:zenodo.org:1055333



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629




    Fuzzy C-means and mathematical morphology for mine detection in IR image

    Sawsan, M. / Ayman, E.D. / Ahmed, B. et al. | Tema Archive | 2003


    A mathematical morphology approach to image based 3D particle shape analysis

    Lee, J. R. / Smith, M. L. / Smith, L. N. et al. | British Library Online Contents | 2005


    Interval-Valued and Intuitionistic Fuzzy Mathematical Morphologies as Special Cases of Formula Not Shown -Fuzzy Mathematical Morphology

    Sussner, P. / Nachtegael, M. / Mélange, T. et al. | British Library Online Contents | 2012


    Performance Analysis of Fuzzy Mathematical Morphology Operators on noisy MRI

    Bouchet, Agustina / Benalcazar Palacios, Freddy / Brun, Marcel et al. | BASE

    Free access

    Application of Mathematical Morphology to Motion Image Analysis

    Fuh, C.-S. / Maragos, P. | British Library Online Contents | 1990