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Communication dans un congrès

Famille à un paramètre de coniques utilisant des courbes de Bézier à poids complexes

Jean-Paul Becar, Laurent Fuchs, Lionel Garnier

L'article traite du mode de représentation des coniques écrites sous forme Bézier rationnelle à l'aide de points massiques où les masses sont des nombres complexes. Une représentation spéciale des coniques reposant sur des points pondérés et des vecteurs purs offre une souplesse de calcul..., The paper deals with conics in a rational Bézier representation based on mass points where the weights are complex numbers here. A special representation of conics using weighted points and vectors offers a calculus flexibility in the handle elementary geometrical transformations as rotations,...

GTMG 2019, ENSEEIHT, 2019, TOULOUSE, France. ⟨hal-02510437⟩

Chapitre d'ouvrage

Synthesis and Characterization of Doped Bioactive Glasses

Ahmed Bachar, Rémy Catteaux, Cédric Duée, Françoise Désanglois, Isabelle Lebecq, Cyrille Albert-Mercier, Claudine Follet-Houttemane

Bioactive glasses have been studied for several years. Hench has been the first to show their interest as bone substitutes. Bioglass 45S5 is the best known. This work reviews bioactive glasses of the SiO2, CaO, and Na2O domain. P, F, and N dopings are also presented. Mixture designs have been used...

Gurbinder Kaur. Biomedical, Therapeutic and Clinical Applications of Bioactive Glasses, Elsevier, pp.69-123, 2019, 9780081021965. ⟨10.1016/B978-0-08-102196-5.00003-3⟩. ⟨hal-02915319⟩

Article dans une revue

A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Colette De Coster, Antonio J. Fernández Sánchez, Louis Jeanjean

Let Ω ⊂ RN , N ≥ 2, be a smooth bounded domain. We consider a boundary value problem of the form −∆u = cλ(x)u + µ(x)|∇u|^2 + h(x) , u ∈ H1^0(Ω) ∩ L∞(Ω) where cλ depends on a parameter λ ∈ R, the coefficients cλ and h belong to L^q(Ω) with q > N/2 and µ ∈ L∞(Ω). Under suitable assumptions, but..., Soit Ω ⊂ RN , N ≥ 2, un domaine borné régulier. Nous consid´erons un problème aux limites de la forme −∆u = cλ(x)u + µ(x)|∇u|^2 + h(x) , u ∈ H1^0(Ω) ∩ L∞(Ω) où cλ dépend d’un paramètre λ ∈ R, les coefficients cλ et h sont des fonctions dans L^q(Ω) avec q > N/2 et µ ∈ L∞(Ω). Sous certaines...

Journal de Mathématiques Pures et Appliquées, 2019, 132, pp.308-333. ⟨10.1016/j.matpur.2019.09.011⟩. ⟨hal-02367279⟩

Communication dans un congrès

ABOUT SERENDIPITY INSIDE PROJECTS OR IMPROVE WHAT IS UNPREDICTABLE

Jean-Paul Becar, Jean Vareille

The paper deals with the serendipity emerging in projects. Serendipity means an unexpected and fortunate discovery. It happens mainly into projects thanks to the open mind behavior of stakeholders. Though two significant examples of project, the authors point out the moment where serendipity burst...

12th annual International Conference of Education, Research and Innovation, IATED, Nov 2019, Seville, Spain. ⟨10.21125/iceri.2019⟩. ⟨hal-02510464⟩

Article dans une revue

Directed, cylindric and radial Brownian webs

David Coupier, Jean-François Marckert, Viet Chi Tran

The Brownian web (BW) is a collection of coalescing Brownian paths (W (x,t) , (x, t) ∈ R 2) indexed by the plane. It appears in particular as continuous limit of various discrete models of directed forests of coalescing random walks and navigation schemes. Radial counterparts have been considered...

Electronic Journal of Probability, 2019, 24 (20), pp.1-48. ⟨10.1214/18-EJP255⟩. ⟨hal-01569036⟩

Article dans une revue

Stability results of some first order viscous hyperbolic systems

Serge Nicaise

In this paper, we first introduce an abstract viscous hyperbolic problem for which we prove exponential decay under appropriated assumptions. We then give some illustrative examples, like the linearized viscous Saint-Venant system. In order to achieve the optimal decay rate, we also perform a...

ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25, pp.33. ⟨10.1051/cocv/2018020⟩. ⟨hal-02952637⟩

Communication dans un congrès

Courbe d'une fraction rationnelle et courbes de Bézier à points massiques

Jean-Paul Becar, Laurent Fuchs, Lionel Garnier

La modélisation de courbes ou d'arcs de courbe par des courbes de Bézier, qui peut être vu comme un simple changement de base pour les courbes polynomiales, est moins évidente pour les courbes rationnelles. En effet, les courbes rationnelles ne se sont pas complètement capturées par le modèle..., Modelling polynomial curves or arcs with Bezier curves can be seen as a basis conversion not so easy for the rational curves. The classical representation of Rational curves based on controlled points with non negative weights as in NURBS does not cover all rational curves. This can be fixed by...

GTMG 2019, Mar 2019, TOULOUSE, France. ⟨hal-02510427⟩

Communication dans un congrès

Introduction à la modélisation de l'écriture manuscrite par des courbes Bézier Rationnelles massiques

Lionel Garnier, L Fuchs, Jean-Paul Becar

L’article est une introduction à la modélisation de l’écriture manuscrite. La représentation de l’écriture cursive in- terfère, selon l’approche hors ligne ou en ligne, sur la robustesse des algorithmes de reconnaissance des caractères manuscrits, de l’identification des auteurs et de leur...

Journées Françaises d’Informatique Graphique et de Réalité Virtuelle 2019, Aix Marseille Université, Nov 2019, Marseille, France. ⟨hal-02510444⟩

Pré-publication, Document de travail

Cohomologie feuilletée du flot affine de Reeb sur la variété de Hopf Sn×S1

Aziz El Kacimi Alaoui

We determine explicitly the foliated cohomology H∗F(M) of the affine Reeb flow F on the Hopf manifold Sn×S1. The vector space H1F(M) contains exactly the obstructions to solve the cohomological equation X⋅f=g where f and g are C∞-functions and X is any non singular vector field defining the...

2019. ⟨hal-03149488⟩

Communication dans un congrès

Effect of CuBi2O4 additive on dielectric, ferroelectric, and piezoelectric properties of BCTZ lead free ceramics sintered at low temperature

Naima Zidi, Ahcene Chaouchi, Mohamed Rguiti, Christian Courtois, Yannick Lorgouilloux

The influence of CuBi2O4 addition on sintering temperature, structural, dielectric and piezoelectric properties of (Ba, Ca)(Ti, Zr)O3 BCTZ ceramics prepared by the direct solid-state reaction were investigated. The X ray diffraction (XRD) data showed a single phase perovskite structure with...

2018 International Conference on Communications and Electrical Engineering (ICCEE), Dec 2018, El Oued, France. pp.1-3, ⟨10.1109/CCEE.2018.8634536⟩. ⟨hal-04467322⟩