2021
DOI: 10.1109/tnnls.2020.3025723
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Extending the Morphological Hit-or-Miss Transform to Deep Neural Networks

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Cited by 16 publications
(10 citation statements)
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“…HAMO can be defined entirely in terms of erosion only. HAMO is very useful for detecting specific objects that are intended to extract such as isolated points, two connected points, three connected points, crosses, squares, triangles, ridges, corners, junctions, and so on [24][25][26][27][28].…”
Section: The Proposed Methodsmentioning
confidence: 99%
“…HAMO can be defined entirely in terms of erosion only. HAMO is very useful for detecting specific objects that are intended to extract such as isolated points, two connected points, three connected points, crosses, squares, triangles, ridges, corners, junctions, and so on [24][25][26][27][28].…”
Section: The Proposed Methodsmentioning
confidence: 99%
“…Topological operators are applied to images by morphological operators to recover or filter out specific structures [63,64]. Mathematical morphology operators are nonlinear image operators that are based on the image spatial structure [65][66][67]. Dilation and Erosion are shape-sensitive operations that can be relatively helpful to extract discriminative spatialcontextual information during the training stage [67][68][69].…”
Section: Morphological Operation Layersmentioning
confidence: 99%
“…Mathematical morphology operators are nonlinear image operators that are based on the image spatial structure [65][66][67]. Dilation and Erosion are shape-sensitive operations that can be relatively helpful to extract discriminative spatialcontextual information during the training stage [67][68][69]. Erosion( ) and Dilation(⊕) are two basic operations in morphology operators that can be defined for a grayscale image X with size M × N and W structuring elements, as follows in Equation (4) [65,66]:…”
Section: Morphological Operation Layersmentioning
confidence: 99%
“…The use of the hit-or-miss transform as part of a neural network for object recognition was pioneered in [77] and some recent attempts of extending its use in the context of deep neural networks are promising [36]. However, to have robust to noise template detection [13] or the multiple ways to extend the hit-or-miss transform to grey-scale images [42,54], as well as the fact that the patterns to be matched can appear at different scales or at different rotations, yield interesting topics to be explored.…”
Section: Interpretability and "Small" Parametric Modelsmentioning
confidence: 99%