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arXiv 2204.093192022-04cs.CVcs.NAeess.SPmath.NA

Logarithmic Morphological Neural Nets robust to lighting variations

Laboratoire Hubert Curien（于贝尔·居里安实验室）；Université Jean Monnet（让·莫内大学）

Guillaume Noyel, Emile Barbier--Renard, Michel Jourlin, Thierry Fournel

发表信息：: Discrete Geometry and Mathematical Morphology. DGMM 2022., 13493, Springer, 2022, Lecture Notes in Computer Science
DOI：: 10.1007/978-3-031-19897-7_36

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Morphological neural networks allow to learn the weights of a structuring function knowing the desired output image. However, those networks are not intrinsically robust to lighting variations in images with an optical cause, such as a change of light intensity. In this paper, we introduce a morphological neural network which possesses such a robustness to lighting variations. It is based on the recent framework of Logarithmic Mathematical Morphology (LMM), i.e. Mathematical Morphology defined with the Logarithmic Image Processing (LIP) model. This model has a LIP additive law which simulates in images a variation of the light intensity. We especially learn the structuring function of a LMM operator robust to those variations, namely : the map of LIP-additive Asplund distances. Results in images show that our neural network verifies the required property.

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