Publications du Centre de Morphologie Mathématique

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J. Corvo, J. Angulo, J. Breugnot, S. Bordes, B. Closs (2017): Morphological Texture Description from Multispectral Skin Images in Cosmetology. 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, Fontainebleau (France) Lecture Notes in Computer Science, vol 10225 443 — 477.
In this paper, we propose methods to extract texture features from multispectral skin images. We first describe the acquisition protocol and corrections we applied on multispectral skin images. In the framework of a cosmetology application, a skin morphological texture evaluation is then proposed using either multivariate approach on multispectral dataset or marginal on a dataset whose dimensionality has been reduced by a multivariate analysis based on PCA.

J. Angulo, S. Velasco-Forero (2017): Morphological Semigroups and Scale-Spaces on Ultrametric Spaces. 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, Fontainebleau (France) Lecture Notes in Computer Science, vol 10225 28—39.
Ultrametric spaces are the natural mathematical structure to deal with data embedded into a hierarchical representation. This kind of representations is ubiquitous in morphological image processing, from pyramids of nested partitions to more abstract dendograms from minimum spanning trees. This paper is a formal study of morphological operators for functions dened on ultrametric spaces. First, the notion of ultrametric structuring function is introduced. Then, using as basic ingredient the convolution in (max,min)-algebra, the multi-scale ultra-metric dilation and erosion are dened and their...

E. Chevallier, E. Kalunga, J. Angulo (2017): Kernel Density Estimation on Spaces of Gaussian Distributions and Symmetric Positive Definite Matrices. SIAM Journal on Imaging Sciences 10(1) 191 — 215.
This paper analyzes the kernel density estimation on spaces of Gaussian distributions endowed with different metrics. Expressions of kernels are provided for the 2-Wasserstein metric on the space of multivariate Gaussians. For the Fisher metric the kernels are provided only for univariate Gaussians and multivariate centered Gaussians. The density estimation is successfully applied to a classification problem of electro-encephalographic signals.

S. Drouyer, S. Beucher, M. Bilodeau, M. Moreaud, L. Sorbier (2017): Sparse Stereo Disparity Map Densification using Hierarchical Image Segmentation. 13th International Symposium, ISMM 2017, Fontainebleau (France) 172—184.
We describe a novel method for propagating disparity values using hierarchical segmentation by waterfall and robust regression models. High confidence disparity values obtained by state of the art stereo matching algorithms are interpolated using a coarse to fine approach. We start from a coarse segmentation of the image and try to fit each region’s disparities using robust regression models. If the fit is not satisfying, the process is repeated on a finer region’s segmentation. Erroneous values in the initial sparse disparity maps are generally excluded, as we use robust regressions...

P. Manil, F. Nunio, Y. Othmani, V. Aubin, J.Y. Buffière, M.S. Commisso, P. Dokládal, D. Durville, G. Lenoir, N. Lermé, E. Maire (2017): A Numerical Approach for the Mechanical Analysis of Superconducting Rutherford-Type Cables Using Bimetallic Description. IEEE Transactions on Applied Superconductivity 27(4).
Low-temperature superconductors are widely used in high-field magnets, mostly within Rutherford-type cables. The run for higher fields leads to greater forces on the conductor, which is pushed closer to its mechanical limit. Managing the higher strain and stress levels on the conductor supposes to perform simulation at the strand level, especially with strain-sensitive superconductors such as Nb3Sn. Three-dimensional models are necessary because inside of a magnet, the conductor is subject to a complex combination of axial and transverse loads. Superconducting cables are anisotropic composite...

B. Marcotegui, A. Serna, J. Hernández (2017): Ultimate Opening Combined with Area Stability Applied to Urban Scenes. 13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, Fontainebleau (France) 10225 261—268.
This paper explores the use of ultimate opening in urban analysis context. It demonstrates the efficiency of this approach for street level elevation images, derived from 3D point clouds acquired by terrestrial mobile mapping systems. An area-stability term is introduced in the residual definition, reducing the over-segmentation of the vegetation while preserving small significant regions. We compare two possible combinations of the Ultimate Opening and the Area Stability: first as a multiplicative factor, then as a subtractive term. On the one hand, multiplicative factor is very strict and...

Q. Blochet, F. Delloro, F. N’Guyen, D. Jeulin, F. Borit, M. Jeandin (2017): Effect of the cold-sprayed aluminum coating-substrate interface morphology on bond strength for aircraft repair application. Journal of Thermal Spray Technology 26(4) 671—686.
This article is dealing with the effects of surface preparation of the substrate on aluminum cold-sprayed coating bond strength. Different sets of AA2024-T3 specimens have been coated with pure Al 1050 feedstock powder, using a conventional cold spray coating technique. The sets were grit-blasted (GB) before coating. The study focuses on substrate surface topography evolution before coating and coating-substrate interface morphology after coating. To study coating adhesion by LASAT® technique for each set, specimens with and without preceding GB treatment were tested in load-controlled...

F.A. Limberger, R.C. Wilson, M. Aono, N. Audebert, A. Boulch, B. Bustos, A. Giachetti, A. Godil, B. Le Saux, B. Li, Y. Lu, H.D. Nguyen, V.T. Nguyen, V.K. Pham, I. Sipiran, A. Tatsuma, M.T. Tran, S. Velasco-Forero (2017): SHREC'17 Track: Point-Cloud Shape Retrieval of Non-Rigid Toys. 10th Eurographics workshop on 3D Object retrieval, Lyon (France) 1 — 11.
In this paper, we present the results of the SHREC'17 Track: Point-Cloud Shape Retrieval of Non-Rigid Toys. The aim of this track is to create a fair benchmark to evaluate the performance of methods on the non-rigid point-cloud shape retrieval problem. The database used in this task contains 100 3D point-cloud models which are classified into 10 different categories. All point clouds were generated by scanning each one of the models in their final poses using a 3D scanner, i.e., all models have been articulated before scanned. The retrieval performance is evaluated using seven commonly-used...

S. Biasotti, E. Moscoso Thompson, M. Aono, A. Ben Hamza, B. Bustos, S. Dong, B. Du, A. Fehri, H. Li, F.A. Limberger, M. Masoumi, M. Rezaei, I. Sipiran, L. Sun, A. Tatsuma, S. Velasco-Forero, R.C. Wilson, Y. Wu, Y. Zhang, T. Zhao, F. Formasa, A. Giachetti (2017): Shrec'17 Track: Retrieval of surfaces with similar relief patterns. 10th Eurographics Workshop on 3D Object Retrieval, Lyon (France).
This paper presents the results of the SHREC'17 contest on retrieval of surfaces with similar relief patterns. The proposed task was created in order to verify the possibility of retrieving surface patches with a relief pattern similar to an example from a database of small surface elements. This task, related to many real world applications, requires an effective characterization of local "texture" information not depending on patch size and bending. Retrieval performances of the proposed methods reveal that the problem is not quite easy to solve and, even if some of the proposed methods...

H. Wang, F. Willot, M. Moreaud, M. Rivallan, L. SORBIER, D. Jeulin (2017): Numerical Simulation of Hindered Diffusion in γ-Alumina Catalyst Supports. Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles 72(2) 8.
By employing multi-scale random models of c-alumina, we have studied the influence of porosity, grain aspect ratio and aggregation state on the effective diffusion coefficient. Multi-scale Boolean models of platelets were used to produce digital volumes reproducing the alumina porous space. Iterative fast Fourier transform numerical simulation of Fick's diffusion were performed on the volume to obtain the effective diffusion coefficient. The tortuosity factors of the various simulated models show a simple dependence with pore volume fraction with an exponent guided by the platelet aspect...

A. Fehri, S. Velasco-Forero, F. Meyer (2017): Prior-based Hierarchical Segmentation Highlighting Structures of Interest. International Symposium on Mathematical Morphology, Fontainebleau (France).
Image segmentation is the process of partitioning an image into a set of meaningful regions according to some criteria. Hierarchical segmentation has emerged as a major trend in this regard as it favors the emergence of important regions at different scales. On the other hand, many methods allow us to have prior information on the position of structures of interest in the images. In this paper, we present a versatile hierarchical segmentation method that takes into account any prior spatial information and outputs a hierarchical segmentation that emphasizes the contours or regions of interest...

A. Borocco, C. Fellah, J. Braun, M.H. Berger, P. Dokládal (2017): Morphological Characterization of Graphene Plans Stacking. ISMM 2017, Fontainebleau (France).
The graphene is a material obtained when carbon atoms form large planar molecules. Well organized, large graphene molecules stacked ontop each other convey to graphene particularly interesting properties useful in nuclear industry. Understanding how the organization on the molecular scale influences the mechanical properties of the material is a key element in the material manufacturing process. In this scope, features like local orientation and length have already been largely explored in the literature. This paper brings a new feature evaluating the number of plans stacked ontop each other...

P. Dokládal (2017): Statistical Threshold Selection for Path Openings to Detect Cracks. International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, ISSM 2017, Fontainebleau (France) 10225 369—380.
Inspired by the a contrario approach this paper proposes a way of setting the threshold when using parsimonious path filters to detect thin curvilinear structures in images. The a contrario approach, instead of modeling the structures to detect, models the noise to detect structures deviating from the model. In this scope, we assume noise composed of pixels that are independent random variables. Henceforth, cracks that are curvilinear sequences of bright pixels (not necessarily connected) are detected as abnormal sequences of bright pixels. In the second part, a fast approximation of the...

T. Chabardès, P. Dokládal, M. Faessel, M. Bilodeau (2017): An affinity score for grains merging and touching grains separation. 13th International Symposium on Mathematical Morphology, Fontainebleau (France) 10225 423—434.
The physical properties of granular materials on a macro-scopic scale derive from their microstructures. The segmentation of CT-images of this type of material is the first step towards simulation and modeling but it is not a trivial task. Non-spherical, elongated or non-convex objects fail to be separated with classical methods. Moreover, grains are commonly fragmented due to external conditions: aging, storage conditions, or even user-induced mechanical deformations. Grains are crushed into multiple fragments of different shape and volume; those fragments drift from one another in the...

R. Alais, P. Dokládal, E. Decencière, B. Figliuzzi (2017): Function Decomposition in Main and Lesser Peaks. International Symposium on Mathematical Morphology, Fontainebleau (France).
This article shows how the dynamics extinction value can be used to compute the decomposition of a function as a sum of simpler components. We show that this decomposition induces a hierarchical segmentation of the domain of definition, and a new partial ordering on nonnegative functions. Removing some of the components according to different criteria leads to new morphological operators. Their properties are discussed and illustrated in the last section. In particular, we see that thresholding on the supports' areas simplifies textured zones, while retaining perceptually salient elements of...


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