### Citations

1173 | Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations
- Osher, Sethian
- 1988
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Citation Context ...includes a term related to the discrepancy between the state variables evolution law and discrete noisy measurements of the system. The closed curves are represented through implicit surface modeling =-=[48]-=-, whereas the motion is described either by a vector field or through vorticity and divergence maps according to the type of targeted application. The efficiency of the approach has been demonstrated ... |

1012 | publications by the team in recent years - Major |

612 |
Optimal Control of Systems Governed by Partial Differential Equations
- Lions
- 1971
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Citation Context ...ing from image sequence of features belonging to high dimensional spaces. This framework relies on optimal control principles as developed in environmental sciences to analyze geophysical flows [46], =-=[47]-=-. Within the PhD of Nicolas Papadakis [10], we have first devised a data assimilation technique for the tracking of closed curves and their associated motion fields. The proposed approach enables a co... |

328 |
Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects
- Dimet, Talagrand
- 1986
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Citation Context ... tracking from image sequence of features belonging to high dimensional spaces. This framework relies on optimal control principles as developed in environmental sciences to analyze geophysical flows =-=[46]-=-, [47]. Within the PhD of Nicolas Papadakis [10], we have first devised a data assimilation technique for the tracking of closed curves and their associated motion fields. The proposed approach enable... |

275 |
Robot Control: The Task Function Approach
- Samson, Borgne, et al.
- 1992
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Citation Context ...dered such as perspective cameras, omnidirectional cameras, 2D ultrasound probes or even virtual cameras. In fact, this technique is historically embedded in the larger domain of sensor-based control =-=[51]-=- so that other sensors than vision sensors can be properly used. On the other hand, this approach was first dedicated to robot arms control. Today, much more complex system can be considered like huma... |

150 |
Vortex Methods: Theory and Practice
- Cottet, Koumoutsakos
- 2000
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Citation Context ...provide a low-dimensional solution, both components have been approximated using a discretization of the vorticity (curl of the velocity vector) and divergence maps through regularized Dirac measures =-=[44]-=-. The resulting so-called irrotational (resp. solenoidal) field is then represented by a linear combination of basis functions obtained by a convolution product of the Green kernel gradient and the vo... |

127 | P.: Dense estimation of fluid flows
- Corpetti, Mémin, et al.
- 2002
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Citation Context ...hese approaches see [7]. ICE data model and div-curl regularization This fluid motion estimator is constructed on a data model derived from the Integration of the Continuity Equation (ICE data model) =-=[5]-=- and includes a second order regularization scheme enabling to preserve blobs of divergence and curl. Intensive evaluations of this estimator on flow prototypes mastered in laboratory have shown that ... |

102 | The curvelet representation of wave propagators is optimally sparse
- Candès, Demanet
- 2005
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Citation Context ...of signals encountered in practice. For example, smooth signals can be shown to have a sparse representation in over-complete Fourier or wavelet dictionaries. More recently, it has been emphasized in =-=[42]-=- that the solutions of certain differential equations (e.g., diffusion or transport equation) have a sparse representation in dictionaries made up of curvelets. Finding the sparse representation of a ... |

91 | Particle Imaging Techniques For Experimental Fluid Mechanics,"
- Adrian
- 1991
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Citation Context ...t unachievable with them. In an effort to avoid the limitations of these probes, the Particle Image Velocimetry (PIV), a non-intrusive diagnostic technique, has been developed in the last two decades =-=[40]-=-. The PIV technique enables obtaining velocity fields by seeding the flow with particles (e.g. dye, smoke, particles) and observing the motion of these tracers. In computer vision, the estimation of t... |

46 | Discrete orthogonal decomposition and variational fluid flow estimation
- Yuan, Ruhnau, et al.
- 2005
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Citation Context ... and the velocity potential) from two consecutive images. The estimation has been defined on the basis of a high order regularization scheme and has been implemented through mimetic difference methods=-=[12]-=-. With these approaches the discretization preserves basic relationships of continuous vector analysis. Compared to previous discretization scheme based on auxiliary div-curl variables, the considered... |

27 |
2010), Variational fluid flow measurements from image sequences: synopsis and perspectives, Experiments in Fluids
- Heitz, Mémin, et al.
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Citation Context ...ll the following approaches have been either formulated within a statistical Markov Random Fields modeling or either within a variational framework. For a thorough description of these approaches see =-=[7]-=-. ICE data model and div-curl regularization This fluid motion estimator is constructed on a data model derived from the Integration of the Continuity Equation (ICE data model) [5] and includes a seco... |

22 | Partial linear Gaussian model for tracking in image sequences using sequential Monte Carlo methods
- Arnaud, Mémin
- 2007
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Citation Context ...th an improve efficiency. This appears to be a generalizationProject-Team FLUMINANCE 7 of the optimal importance sampling strategy we proposed in the context of partial conditional Gaussian trackers =-=[1]-=-. Variational assimilation technique We investigated the use of variational framework for the tracking from image sequence of features belonging to high dimensional spaces. This framework relies on op... |

19 | A variational technique for time consistent tracking of curves and motion
- Papadakis, Mémin
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Citation Context ...ing to high dimensional spaces. This framework relies on optimal control principles as developed in environmental sciences to analyze geophysical flows [46], [47]. Within the PhD of Nicolas Papadakis =-=[10]-=-, we have first devised a data assimilation technique for the tracking of closed curves and their associated motion fields. The proposed approach enables a continuous tracking along an image sequence ... |

16 |
2008 Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3 900. Phys
- Parnaudeau, Carlier, et al.
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Citation Context ...dy has exhibited significant differences compared with the experimental data found in the literature. The obtained results attenuate previous numerical-experimental controversy for this type of flows =-=[11]-=-. Simultaneous velocity temperature measurements in turbulent flows We have worked on the design of a novel anemometer for the simultaneous measurement of velocity and temperature in airflows with a s... |

15 |
Determining Optical Flow. Artificial Intelligence 17:185-203
- Horn, Schunck
- 1981
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Citation Context ... the apparent motion of a 3D scene onto the image plane, refereed in the literature as optical-flow, is an intensive subject of researches since the 80’s and the seminal work of B. Horn and B. Schunk =-=[45]-=-. Unlike to dense optical flow estimators, the former approach provides techniques that supply only sparse velocity fields. These methods have demonstrated to be robust and to provide accurate measure... |

14 | 3D motion estimation of atmospheric layers from image sequences
- Heas, Mémin
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Citation Context ...rvation model has been proposed to fit sparse observations related to each layer. In the 3D case, the layers are interconnected through a term modeling mass exchanges at the layers surfaces frontiers =-=[9]-=-. A novel spatio-temporal regularizer derived from the shallow-water momentum conservation model has been considered to enforce temporal consistency of the solution along time. These constraints are c... |

13 | Modeling complex luminance variations for target tracking
- Collewet, Marchand
- 2008
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Citation Context ...mage process is, to date, a necessary step and often considered as one of the bottlenecks of the expansion of visual servoing. That is why more and more non geometric visual measurements are proposed =-=[3]-=-. 3.5. Sparse Representations and Bayesian model selection Sparse representation methods aim at finding representations of a signal with a small number of components taken from an over-complete dictio... |

13 |
Visual servoing and visual tracking, in Handbook of Robotics
- Chaumette, Hutchinson
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Citation Context ...mage sequence. 3.4. Visual servoing Nowadays, visual servoing is a widely used technique is robot control. It consists in using data provided by a vision sensor for controlling the motions of a robot =-=[43]-=-. Various sensors can be considered such as perspective cameras, omnidirectional cameras, 2D ultrasound probes or even virtual cameras. In fact, this technique is historically embedded in the larger d... |

11 | Pressure image assimilation for atmospheric motion estimation. Tellus Series A: Dynamic Meteorology and Oceanography
- Corpetti, Héas, et al.
- 2009
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Citation Context ...types of image sequences showing deformable objects and fluid motions. More recently assimilation technique for the direct estimation of atmospheric wind field from pressure images have been proposed =-=[4]-=-. These techniques rely on a brightness variation model of the intensity function. They do not include anymore motion measurements provided by external motion estimators. The resulting estimator allow... |

11 | Bayesian pursuit algorithms - Herzet, Drémeau - 2010 |

10 |
A stochastic filter technique for fluid flows velocity fields tracking
- CUZOL, MÉMIN
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Citation Context ...n term. To date there exists no motion estimator allowing estimating accurately dense velocity fields on Schlieren images. Low order fluid motion estimator This low-dimensional fluid motion estimator =-=[6]-=- is based on the Helmholtz decomposition, which consists in representing the velocity field as the sum of a divergence-free component and a curl-free one. In order to provide a low-dimensional solutio... |

7 |
Strong and weak constraint variational assimilations for reduced475 order fluid flow modeling
- Artana, Cammilleri, et al.
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Citation Context ...ction. The techniques have been assessed on numerical data and for real experimental conditions with noisy Image Velocimetry data. This work has been published in the Journal of Computational Physics =-=[15]-=-. In collaboration with the University of Buenos Aires, we have also explored, a method that combines Proper Orthogonal Decomposition with a spectral technique to analyze and extract reduced order mod... |

7 |
Combination of the immersed boundary method with compact schemes for DNS of flows in complex geometry
- Parnaudeau, Lamballais, et al.
- 2004
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Citation Context ... step-like change of the velocity derivatives across the immersed boundary. This modification led to improve results both qualitatively and quantitatively for conventional and complex flow geometries =-=[50]-=-. Three-dimensional direct numerical simulations have been performed for vortex shedding behind cylinders. We focused in particular on cases for which the body diameter and the incoming flow involved ... |

6 | Weighted ensemble transform kalman filter for image assimilation
- Beyou, Cuzol, et al.
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Citation Context ...ssian random fields and the introduction within an incremental ensemble analysis scheme of multiscale motion measurements. This work has been recently accepted for publication in the Tellus A journal =-=[17]-=-. 6.2.2. Reduced-order models for flows representation from image data Participants: Cédric Herzet, Etienne Mémin, Véronique Souchaud. One of the possibilities to neglect the influence of some degrees... |

6 | Power laws and inverse motion modelling: application to turbulence measurements from satellite images
- Héas, Mémin, et al.
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Citation Context ...d flow dedicated motion estimators. This series of works, which have been done in close collaboration with P. Minnini (University of Buenos Aires), have been published in several journals [21], [22], =-=[23]-=-. 6.1.4. Wavelet basis for multi-scale motion estimation Participants: Pierre Dérian, Patrick Héas, Cédric Herzet, Souleymane Kadri Harouna, Etienne Mémin. This work describes the implementation of a ... |

6 | Effective construction of divergence-free wavelets on the square - Kadri-Harouna, Perrier |

5 |
Divergence-free Wavelets and High Order Regularization
- Harouna, Dérian, et al.
- 2011
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Citation Context ...ance of the method for divergence free-2D flows. These studies have been published in the journal of Numerical Mathematics: Theory, Methods and Applications [19] and in the journal of Computer Vision =-=[24]-=-. The extension to 3D flows would be an interesting perspective. 6.1.5. Wavelet-based divergence-free fBm prior: application to turbulent flow estimation Participant: Patrick Héas. This work is concer... |

5 |
Low-dimensional analysis, using POD, for two mixing layer-wake interactions
- Braud, Heitz, et al.
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Citation Context ...nal dynamical system that allowed the analysis of the relationship between the dominant frequencies. This study led to a reconstruction of the dominant periodic motion suspected from previous studies =-=[41]-=-. This work allowed us to make a link between the three-dimensional organization and the secondary unsteady motion from the low velocity side to the high velocity side of the mixing layer, appearing i... |

4 |
Analysis of the wake-mixing-layer interaction using multiple plane PIV and 3d classical POD” Exp
- Braud, Heitz, et al.
- 2004
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Citation Context ...pproach allowed us to construct a 3D-POD representation. An analysis of the correlations shows different length scales in the regions dominated by wake like structures and shear layer type structures =-=[2]-=-. In order to characterize the particular organization in the plane of symmetry, a Galerkin projection from a slice POD has been performed. This led to a low-dimensional dynamical system that allowed ... |

4 | Code-aided maximumlikelihood ambiguity resolution through free-energy minimization - Herzet, Woradit, et al. - 2010 |

3 |
Fluid flow estimation with multiscale ensemble filters based on motion measurements under location uncertainty
- Beyou, Corpetti, et al.
(Show Context)
Citation Context ...ed to define multiscale data assimilation filtering schemes. These works have been recently published in IEEE trans. on Image Processing and in Numerical Mathematics: Theory, Methods and Applications =-=[16]-=-, [18]. We intend to pursue this formalization to define dense motion estimators that allow us handling, in the same way, luminance conservation under motion uncertainty principles. An efficient GP-GP... |

3 |
P.D.: Bayesian estimation of turbulent motion
- Has, Herzet, et al.
- 2013
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Citation Context ...the art fluid flow dedicated motion estimators. This series of works, which have been done in close collaboration with P. Minnini (University of Buenos Aires), have been published in several journals =-=[21]-=-, [22], [23]. 6.1.4. Wavelet basis for multi-scale motion estimation Participants: Pierre Dérian, Patrick Héas, Cédric Herzet, Souleymane Kadri Harouna, Etienne Mémin. This work describes the implemen... |

3 | E.: Bayesian inference of models and hyper-parameters for robust optic-flow estimation
- Heas, Herzet, et al.
- 2012
(Show Context)
Citation Context ...t fluid flow dedicated motion estimators. This series of works, which have been done in close collaboration with P. Minnini (University of Buenos Aires), have been published in several journals [21], =-=[22]-=-, [23]. 6.1.4. Wavelet basis for multi-scale motion estimation Participants: Pierre Dérian, Patrick Héas, Cédric Herzet, Souleymane Kadri Harouna, Etienne Mémin. This work describes the implementation... |

3 |
Direct numerical simulations of vortex shedding behind circular cylinders with spanwise linear nonuniformity, in "Journal of Turbulence
- PARNAUDEAU, HEITZ, et al.
(Show Context)
Citation Context ... obstacle a wavy secondary motion was identified. Induced secondary flow due to the bending of Karman vortices in the vicinity of vortex-adhesion and dislocations was suggested to explain this result =-=[49]-=-. LES and experimental wake flow database We contributed to the study of flow over a circular cylinder at Reynolds number Re = 3900. Although this classical flow is widely documented in the literature... |

2 | Stochastic uncertainty models for the luminance consistency assumption
- CORPETTI, MÉMIN
(Show Context)
Citation Context ...define multiscale data assimilation filtering schemes. These works have been recently published in IEEE trans. on Image Processing and in Numerical Mathematics: Theory, Methods and Applications [16], =-=[18]-=-. We intend to pursue this formalization to define dense motion estimators that allow us handling, in the same way, luminance conservation under motion uncertainty principles. An efficient GP-GPU impl... |

2 | Drag reduction of the plane poiseuille flow by partitioned visual servo control - Dao, Collewet - 2012 |

2 | Stochastic level set dynamics to track closed curves through image data - AVENEL, MÉMIN, et al. |

2 | Joint k-step analysis - SOUSSEN, GRIBONVAL, et al. |

1 | Suivi de courbes libres fermées déformables par processus stochastique, Université Rennes 1 - AVENEL - 2012 |

1 | Ondelettes et Estimation de Mouvements de Fluide, Université Rennes 1 - DÉRIAN |

1 | A study on local photometric models and their application to robust tracking, in "Computer Vision and Image Understanding - GOUIFFÈS, COLLEWET, et al. - 2012 |

1 | Tracking Level Set Representation Driven by a Stochastic Dynamics - AVENEL, MÉMIN, et al. - 2012 |

1 | Réduction de la traînée de l’écoulement de Poiseuille 2D par asservissement visuel partitionné, in "Conférence Internationale Francophone d’Automatique - DAO, COLLEWET - 2012 |

1 | Simultaneous Drag Reduction and Kinetic Energy Density of the Plane Poiseuille Flow - DAO, COLLEWET - 2012 |

1 | Structured Bayesian Orthogonal Matching Pursuit - DRÉMEAU, HERZET, et al. |

1 |
Object-oriented processing of CRM precipitation forecasts by stochastic filtering
- ARBOGAST, PANNEKOUCKE, et al.
- 2012
(Show Context)
Citation Context ...hD thesis of Christoph Avenel has been presented in several conferences and has been submitted to two different journals. Let us note that it has also led to a fruitful collaboration with MeteoFrance =-=[30]-=-16 Activity Report INRIA 2012 6.2.6. Sequential smoothing for fluid motion Participants: Anne Cuzol, Etienne Mémin. In parallel to the construction of stochastic filtering techniques for fluid motion... |

1 | A particle stochastic filter for fluid flow recovery from images, in "GlobCurrent Workshop - BEYOU, CUZOL, et al. - 2012 |

1 | Assimilation de vitesse de surface en mer d’Iroise par filtrage de Kalman d’ensemble pondéré, in "Colloque National Assimilation de Données, CNA12 - BEYOU, MÉMIN, et al. - 2012 |

1 |
Evaluation of an ensemble based 4D var assimilation, in "Colloque National Assimilation de Données, CNA12
- ROBINSON, YANG, et al.
(Show Context)
Citation Context ...eld associated to a free-surface flow from a temporal sequence of Kinect data. This study have been conducted on synthetic and real-world data. It has been presented to a data assimilation conference =-=[35]-=-. Finally, we explored the application of such techniques to hydrological applications. These results are currently considered for submission to Journal of Hydrology. 6.2.5. Stochastic filtering techn... |