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  2. Erosion (morphology) - Wikipedia

    en.wikipedia.org/wiki/Erosion_(morphology)

    Erosion (usually represented by ⊖) is one of two fundamental operations (the other being dilation) in morphological image processing from which all other morphological operations are based. It was originally defined for binary images , later being extended to grayscale images, and subsequently to complete lattices .

  3. Morphological gradient - Wikipedia

    en.wikipedia.org/wiki/Morphological_Gradient

    In mathematical morphology and digital image processing, a morphological gradient is the difference between the dilation and the erosion of a given image. It is an image where each pixel value (typically non-negative) indicates the contrast intensity in the close neighborhood of that pixel.

  4. Dilation (morphology) - Wikipedia

    en.wikipedia.org/wiki/Dilation_(morphology)

    Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology. Originally developed for binary images, it has been expanded first to grayscale images, and then to complete lattices. The dilation operation usually uses a structuring element for probing and expanding the shapes contained in the input image.

  5. Closing (morphology) - Wikipedia

    en.wikipedia.org/wiki/Closing_(morphology)

    The closing of the dark-blue shape (union of two squares) by a disk, resulting in the union of the dark-blue shape and the light-blue areas. In mathematical morphology, the closing of a set (binary image) A by a structuring element B is the erosion of the dilation of that set,

  6. Opening (morphology) - Wikipedia

    en.wikipedia.org/wiki/Opening_(morphology)

    In morphological opening (), the erosion operation removes objects that are smaller than structuring element B and the dilation operation (approximately) restores the size and shape of the remaining objects. However, restoration accuracy in the dilation operation depends highly on the type of structuring element and the shape of the restoring ...

  7. Mathematical morphology - Wikipedia

    en.wikipedia.org/wiki/Mathematical_morphology

    A shape (in blue) and its morphological dilation (in green) and erosion (in yellow) by a diamond-shaped structuring element. Mathematical morphology (MM) is a theory and technique for the analysis and processing of geometrical structures, based on set theory, lattice theory, topology, and random functions.

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  9. Structuring element - Wikipedia

    en.wikipedia.org/wiki/Structuring_element

    It is typically used in morphological operations, such as dilation, erosion, opening, and closing, as well as the hit-or-miss transform. According to Georges Matheron , knowledge about an object (e.g., an image) depends on the manner in which we probe (observe) it. [ 1 ]