id: 05904845
dt: a
an: 05904845
au: Bloch, Isabelle
ti: Fuzzy sets and mathematical morphology.
so: Najman, Laurent (ed.) et al., Mathematical morphology. From theory to
    applications. London: ISTE; Hoboken, NJ: John Wiley \& Sons (ISBN
    978-1-84821-215-2/hbk). 155-176 (2010).
py: 2010
pu: London: ISTE; Hoboken, NJ: John Wiley \& Sons
la: EN
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ab: From the introduction: Imprecision and uncertainty are inherent to images,
    and their origin can be found at different levels: observed phenomena,
    sensors and data acquisitions, numerical reconstruction methods, the
    nature of images and representation of their constituting elements,
    etc.  This research can be divided into two classes. In the first class
    of approaches, a fundamental property which guides the construction of
    fuzzy operations is the duality between erosion and dilation. In the
    second class, the notion of adjunction plays a major role. These two
    approaches rely on the definition of an inclusion degree between two
    fuzzy sets, from which the erosion is derived. This degree of inclusion
    takes different forms in the two approaches. Here we focus on the four
    basic operations of mathematical morphology ‒ erosion, dilation,
    opening and closing ‒ from which numerous other operations can be
    derived.
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