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rigid body motion

Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion

Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion

... Abstract. The Euler−Poinsot rigid body motion is a standard mechanical system and it is a model for left-invariant Riemannian metrics on SO(3). In this article using the Serret−Andoyer variables we ...

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The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion

The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion

... Open Archive TOULOUSE Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web[r] ...

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A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid

A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid

... ∂Ω x × (V + v ∗ )(V · n)dγ. (3.9) Indeed the formulation (3.5) and (3.6) might look artificial, but it depends on how to develop the linear theory in the next section (there are actually some other possible ways). In ...

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Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem

Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem

... IV. C ONCLUSION We presented here two 2D models, intrinsically related to the Euler-Poinsot rigid body motion. The new theoretical result of this paper is the explicit construction of the basis of ...

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Rapid determination of RMSDs corresponding to macromolecular rigid body motions

Rapid determination of RMSDs corresponding to macromolecular rigid body motions

... the rigid body motion of a macromolecule is an important problem in structural bioinformatics, computational chemistry and molecular ...of rigid body motions of a macromolecule in ...

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Coupling rigid bodies motion with single phase and two-phase compressible flows on unstructured meshes

Coupling rigid bodies motion with single phase and two-phase compressible flows on unstructured meshes

... the motion of rigid bodies to compressible fluid flows. Solid rigid bodies are tracked through a Level-Set ...couple rigid body motion to fluid flow dynamics: a method based on ...

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Estimation of Human Body Shape in Motion with Wide Clothing

Estimation of Human Body Shape in Motion with Wide Clothing

... human body shape estimation from dynamic ...geometric motion data and sparse motion capture (MoCap) data of 6 subjects (3 female and 3 male) cap- tured in 3 different motions and 3 clothing styles ...

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Indoor On-body Channel Ray Tracing and Motion Capture Based Simulation

Indoor On-body Channel Ray Tracing and Motion Capture Based Simulation

... The antenna pattern is expanded in terms of spherical harmonics coefficients [ 7 ],[ 8 ]. This approach reduces the amount of data required for describing the full antenna pattern. This has been the chosen manner for ...

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Intensity-based visual servoing for non-rigid motion compensation of soft tissue structures due to physiological motion using 4D ultrasound

Intensity-based visual servoing for non-rigid motion compensation of soft tissue structures due to physiological motion using 4D ultrasound

... 7. Rigid motion compensation results of a deformable region using simulated 4D US At first, we perform a rigid motion tracking task with an abdominal ...the rigid motion of the ...

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Time-dependent lift and drag on a rigid body in a viscous steady linear flow

Time-dependent lift and drag on a rigid body in a viscous steady linear flow

... The chief technical difficulty i n t his c lass o f p roblems i s t hat, o wing t o t he presence of a space-dependent term (the one that was overlooked by Bedeaux & Rubi ( 1987 ) and Pérez-Madrid et al. ( 1990 )), ...

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Virtual fracture reduction of the acetabulum using a rigid body biomechanical model

Virtual fracture reduction of the acetabulum using a rigid body biomechanical model

... in 3D space, with few or no anatomical consideration, resulting to movements that may not be realized in real surgery. A new paradigm is then to simulate the procedure itself, instead of the desired result. During ...

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Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.

Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.

... [7] Marchioro C., Pulvirenti M., Mathematical theory of incompressible nonviscous fluids. Applied Mathematical Sciences 96, Springer-Verlag, 1994. [8] Ortega J., Rosier L., Takahashi T., On the motion of a ...

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A Batch Algorithm For Implicit Non-Rigid Shape and Motion Recovery

A Batch Algorithm For Implicit Non-Rigid Shape and Motion Recovery

... We introduce theoretical and practical contributions that address these issues. We propose an implicit imaging model for non-rigid scenes from which we derive non-rigid matching tensors and closure ...

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2D-3D rigid-body registration of X-ray flourscopy and CT images

2D-3D rigid-body registration of X-ray flourscopy and CT images

... The controlled experiments used images of a phantom spine, of a real and a plastic skull, of a real head and of a lumbar plastic spine segment, and the experiments using [r] ...

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Local null controllability of a rigid body moving into a Boussinesq flow

Local null controllability of a rigid body moving into a Boussinesq flow

... There are few articles in the last decade concerning the controllability results on fluid- structure interaction problem. In a paper of Raymond and Vanninathan [ 37 ], they considered a simplified model in 2D where the ...

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Time-dependent lift and drag on a rigid body in a viscous steady linear flow

Time-dependent lift and drag on a rigid body in a viscous steady linear flow

... Coming back to unbounded linear flows, another series of studies employed the so-called ‘induced-force’ method (hereinafter abbreviated as IF) as an alternative to the MAE approach, based on the formulation developed by ...

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Tasks prioritization for whole-body realtime imitation of human motion by humanoid robots

Tasks prioritization for whole-body realtime imitation of human motion by humanoid robots

... considered first. As a consequence, the trajectory tracking and the balance man- agement tasks dealt with already admissible trajectories. The imitation showed good results in terms of all four tasks. Fig. 2 shows the ...

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Rigid and strongly rigid relations on small domains

Rigid and strongly rigid relations on small domains

... We proposed several simple lemmas to exclude non-rigid binary relations which can be turned into computer programs. These lemmas are quite effective not only in a 4- element domain but also in a k-element domain ...

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Using Singularities of Parallel Manipulators for Enhancing the Rigid-body Replacement Design Method of Compliant Mechanisms

Using Singularities of Parallel Manipulators for Enhancing the Rigid-body Replacement Design Method of Compliant Mechanisms

... jacques.gangloff@unistra.fr pierre.renaud@insa-strasbourg.fr The rigid-body replacement method is often used when de- signing a compliant mechanism. The stiffness of the com- pliant mechanism, one of its ...

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Computing Structure and Motion of General 3D Rigid Curves from Monocular Sequences of Perspective Images

Computing Structure and Motion of General 3D Rigid Curves from Monocular Sequences of Perspective Images

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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