Publications from the Center of Mathematical Morphology

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R. Lerallut, E. Decencière, F. Meyer (2005): Image Filtering Using Morphological Amoebas. 7th international symposium on mathematical morphology, Paris (France).
This article presents the use of anisotropic dynamic structuring elements, or amoebas, in order to build content-aware noise reduction filters. The amoeba is the ball defined by a special geodesic distance computed for each pixel, and can be used as a kernel for many kinds of filters and morphological operators. 1. Introduction Noise is possibly the most annoying problem in the field of image processing. There are two ways to work around it: either design particularly robust algorithms that can work in noisy environments, or try to eliminate the noise in a first step while losing as little...

E. Dejnozkova, P. Dokládal (2005): Embedded real-time architecture for level-set-based active contours. EURASIP Journal on Advances in Signal Processing 17(1) 1—16.

L. Biancardini, E. Dokladalova, S. Beucher, L. Letellier (2005): From Moving Edges to Moving Regions. 2nd Iberian Conference on Pattern Recognition and Image Analysis (IbPRIA'05), Estoril (France) (1) 119—127.

E. Parra-Denis, C. Ducottet, D. Jeulin (2005): 3D morphological analysis of non metallic inclusions. Proceeding of the 9th European congress on stereology and image analysis 111—122.

L. Brun, M. Mokhtari, F. Meyer (2005): Hierarchical watersheds within the Combinatorial Pyramid framework. Discrete Geometry for Computer Imagery, Poitiers (France) 3429 34—44.
Watershed is the latest tool used in mathematical morphology. The algorithms which implement the watershed transform generally produce an over segmentation which includes the right image's boundaries. Based on this last assumption, the segmentation problem turns out to be equivalent to a proper valuation of the saliency of each contour. Using such a measure, hierarchical watershed algorithms use the edge's saliency conjointly with statistical tests to Decemberimate the initial partition. On the other hand, Irregular Pyramids encode a stack of successively reduced partitions. Combinatorial...

C. Ronse, L. Najman, E. Decencière (2005): Mathematical Morphology: 40 Years On.


S. Beauvais, V. Guipont, F. N'Guyen, M. Jeandin, D. Jeulin, A. Robisson, R. Saenger (2004): Study of the porosity in plasma-sprayed alumina through an innovative 3-dimensional simulation of the coating build-up. Thermal spray solutions : advances in technology and application 8 p..

F. Bron, D. Jeulin (2004): Modelling a food microstructure by random sets. Image Analysis and Stereology 23 33—44.
Starting from scanning electron microscope images of some food products, we generate binary images of composite materials. After measuring the covariance and the probability for segments and for squares to be included in the dominant component, we develop a modelling of the microstructure from random sets obtained by thresholding Gaussian random functions. The covariance function of the underlying Gaussian random function is estimated from the experimental covariance of the food products. The validity of the model is checked by comparison of the probability curves for segments and for...


S. Paciornik, O. Da Fonseca Martins Gomes, A. Delarue, S. Schamm-Chardon, D. Jeulin, A. Thorel (2003): Multi-scale analysis of the dielectric properties and structure of resin/carbon-black nanocomposites. European Physical Journal: Applied Physics 21(1) 17—26.
Dielectric properties of resin/carbon-black nanocomposites were measured and shown to differ from results given by a random sets modeling approach. The origin of the discrepancies was traced back to the presence of sets of carbon planes, detached from the carbon-black particles during the composite preparation. These planes are dispersed in the resin matrix and are nearly invisible, even in HRTEM images. EELS measurements revealed the signature of bonding states typical of graphite-like compounds, in regions of the matrix previously supposed to be free of carbon-black. A new approach to...

E. Dokladalova, P. Dokládal (2003): A parallel architecture for curve-evolution PDEs. Image Analysis and Stereology (22) 121—132.
The computation of the distance function is a crucial and limiting element in many applications of image processing. This is particularly true for the PDE-based methods, where the distance is used to compute various geometric properties of the travelling curve. Massive Marchinga is a parallel algorithm computing the distance function by propagating the solution from the sources and permitting simultaneous spreading of component labels in the influence zones. Its hardware implementation is conceivable as no sorted data structures are used. The feasibility is demonstrated here on a set of...

P. Dokládal, I. Bloch, M. Couprie, D. Ruijters, R. Urtasun, L. Garnero (2003): Segmentation of 3D head MR images using morphological reconstruction under constraints and automatic selection of markers. Pattern Recognition 36(1) 2463—2478.

J. Angulo (2003): Morphologie mathématique et indexation d'images couleur : application à la microscopie en biomédecine.


E. Dejnozkova Dokládova, P. Dokládal, J.C. Klein (2002): MASSIVE MARCHING: A PARALLEL COMPUTATION OF DISTANCE FUNCTION. the 9th International Workshop on Systems, Signals and Image Processing (IWSSIP'02), Manchester (United Kingdom) 71—76.
The methods based on the evolution of a curve controlled by partial differential equations (PDE), represent an efficient and flexible tool of image segmentation, recognition or object tracking. For these methods, an accurate and rapid computation of the distance function is of a key importance. We propose a new, entirely parallel algorithm yielding the distance function and its hardware implementation.

C. Choleau, P. Dokládal, J.C. Klein, W.K. Ward, G.E.O.R.G.E.S. WILSON, G. Reach (2002): Prevention of Hypoglycemia Using Risk Assessment With a Continuous Glucose Monitoring System. Diabetes (11) 3263—3273.
Due to the lag between sugar intake and the beginning of recovery from hypoglycemia, it is necessary to intervene in an anticipatory way if one wants to prevent, not only detect, hypoglycemia. This article presents the principle of a hypoglycemia prevention system based on risk assessment. The risk situation can be defined as the moment when the system estimates that the glucose concentration is expected to reach a hypoglycemia threshold in less than a given time (e.g., 20 min). Since there are well-known discrepancies between blood and interstitial glucose concentrations, the aim of this...

A. Hanbury (2002): Morphologie Mathématique sur le Cercle Unité, avec applications aux teintes et aux textures orientées.


F. Barbe, L. Decker, D. Jeulin, G. Cailletaud (2001): Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model. International Journal of Plasticity 17(4) 513—536.


P. Quirion (1999): Le marché de l'assurance du risque pollution en France.


E. Decencière (1997): Restauration automatique de films anciens.
Most motion pictures produced before the fifties have a very short life span. They are very damaged and their condition continues to deteriorate. It is necessary and urgent to restore and preserve them. Besides, if these films were restored they could be used to feed the rapidly increasing audio visual market. Classical restoration methods can correct some defects but not all. Computer based restoration methods are paid more attention, but most of them treat the frames manually, one by one, results are good: but still very expensive. In order to restore a greater number of motion pictures,...


B. Marcotegui (1996): Segmentation de séquences d'images en vue du codage.


G.E.O.R.G.E.S. WILSON, Y. Zhang, G. Reach, D. Moatti-Sirat, V. Poitout, D.R. Thévenot, F. Lemonnier, J.C. Klein (1992): Progress toward the Development of an Implantable Sensor for Glucose. Clinical Chemistry 38(9) 1613–1617.
The development of an electrochemically based implant¬ able sensor for glucose is described. The sensor is needle-shaped, about the size of a 28-gauge needle. It is flexible and must be implanted subcutaneously by using a 21-gauge catheter, which is then removed. When com¬ bined with a monitoring unit, this device, based on the glucose oxidase-catalyzed oxidation of glucose, reliably monitors glucose concentrations for as long as 10 days in rats. Various design considerations, including the deci¬ sion to monitor the hydrogen peroxide produced in the enzymatic reaction, are discussed....


S. Beucher (1990): Segmentation d'images et morphologie mathématique.
Image segmentation by mathematical morphology is a mothodology based on the notions of watershed and homotopy modification. These tools are built starting from elementary morphological transformations which are presented in the first part of this thesis. These basic transformations are the morphological operations applied to grey-tone images and, in particular, the thinning and thickening operators together with the geodesic transformations. These tools lead to the design of more sophisticated transforms. Among them, the morphological gradient and its regularization,and the watershed...


C.J. Cornelisse, A.M.J. Driel-Kulker, F. Meyer, J.S. Ploem (1985): Automated recognition of atypical nuclei in breast cancer cytology specimens by iterative image transformations. Journal of Microscopy 137(1) 101—110.
In order to develop an objective grading system for nuclear atypia in breast cancer, an image analysis technique has been applied for the automated recognition of enlarged and hyperchromatic nuclei in cytology specimens. The image segmentation algorithm, based on the 'top hat' image transformation developed in mathematical morphology, is implemented on the LEYTAS automated microscope system. The performance of the segmentation algorithm has been evaluated for fifty malignant and eighty-five benign breast lesions by visual inspection of the displayed 'flagged' objects. The mean number of...


G.A. Auffret, A. Marechal, L. Berthois (1970): Essai d'application de la géostatistique à la cartographie sédimentaire dans la zone couverte par la carte bathymétrique au 1/40 000 de l'île de Batz aux Trépieds. Bulletin de l'Institut de Géologie du bassin d'Aquitaine (9) 121—136.
This paper presents a study of the distribution of the unconsolidated deposits in a zone located seaward of Roscoff using a schematic map to delineate the areas of « homogeneous » deposits. The parameters utilised are the different percentages of the various grain-size fractions of the bottom grab-samples. Geostati stical methods permit a precise analysis of the precision with which are determined the average parameter percentages which characterise the zones, as well as their geographical extent.

List of all publications from the CMM, recorded on the HAL depository under the tag ENSMP_CMM.

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