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Logarithmic Mathematical Morphology: theory and applications
Classically, in Mathematical Morphology, an image (i. e., a grey-level function) is analysed by another image which is named the structuring element or the structuring function.
Logarithmic Morphological Neural Nets robust to lighting variations
In this paper, we introduce a morphological neural network which possesses such a robustness to lighting variations.
Morphological segmentation of hyperspectral images
The present paper develops a general methodology for the morphological segmentation of hyperspectral images, i. e., with an important number of channels.
Retinal vessel segmentation by probing adaptive to lighting variations
In a lowly contrasted image, results show that our method better extract the vessels than another state-of the-art method.
Multivariate mathematical morphology for DCE-MRI image analysis in angiogenesis studies
A full multivariate segmentation method based on dimensionality reduction, noise filtering, supervised classification and stochastic watershed is explained and tested on several data sets.
Functional Asplund metrics for pattern matching, robust to variable lighting conditions
Importantly, they are efficient to detect patterns in low-contrast images with a template acquired under a different lighting.
A Link Between the Multiplicative and Additive Functional Asplund's Metrics
It will be shown that the map of LIP-additive Asplund's distances of an image can be computed from the map of the LIP-multiplicative Asplund's distance of a transform of this image and vice-versa.
Region homogeneity in the Logarithmic Image Processing framework: application to region growing algorithms
The second, the LIP-multiplicative homogeneity criterion, is based on the LIP-multiplicative law and is insensitive to changes due to variations of the object thickness or opacity.
Registration of retinal images from Public Health by minimising an error between vessels using an affine model with radial distortions
In order to estimate a registration model of eye fundus images made of an affinity and two radial distortions, we introduce an estimation criterion based on an error between the vessels.
Homogeneity of a region in the logarithmic image processing framework: application to region growing algorithms
The current paper deals with the role played by Logarithmic Image Processing (LIP) operators for evaluating the homogeneity of a region.
Logarithmic mathematical morphology: a new framework adaptive to illumination changes
A new set of mathematical morphology (MM) operators adaptive to illumination changes caused by variation of exposure time or light intensity is defined thanks to the Logarithmic Image Processing (LIP) model.
Aspl{ü}nd's metric defined in the Logarithmic Image Processing (LIP) framework for colour and multivariate images
Our contribution consists in extending the Aspl{\"u}nd's metric to colour and multivariate images using the LIP framework.
A simple expression for the map of Asplund's distances with the multiplicative Logarithmic Image Processing (LIP) law
We introduce a simple expression for the map of Asplund's distances with the multiplicative Logarithmic Image Processing (LIP) law.
Speeding up the Köhler's method of contrast thresholding
K{\"o}hler's method is a useful multi-thresholding technique based on boundary contrast.
Double-sided probing by map of Asplund's distances using Logarithmic Image Processing in the framework of Mathematical Morphology
Using a flat structuring element, the expression of the map of Asplund's distances can be simplified with a dilation and an erosion of the image; these mappings stays in the lattice of the images.
Spatio-Colour Asplünd 's Metric and Logarithmic Image Processing for Colour Images (LIPC)
Aspl\"und 's metric, which is useful for pattern matching, consists in a double-sided probing, i. e. the over-graph and the sub-graph of a function are probed jointly.
Superimposition of eye fundus images for longitudinal analysis from large public health databases
The method has been validated (1) on a simulated montage and (2) on public health databases with 69 patients with high quality images (271 pairs acquired mostly with different types of camera and 268 pairs acquired mostly with the same type of camera) with success rates of 92% and 98%, and five patients (20 pairs) with low quality images with a success rate of 100%.
A New Spatio-Spectral Morphological Segmentation For Multi-Spectral Remote-Sensing Images
Subsequently, a probability density function (pdf) of contours containing spatial and spectral information is estimated by simulation using a stochastic WS approach driven by the spectral classification.
On distances, paths and connections for hyperspectral image segmentation
Then a finer segmentation is obtained by computing $\eta$-bounded regions and $\mu$-geodesic balls inside the $\lambda$-flat zones.
