Add to ORKGIn mechanics, and in particular in shape analysis, taking into account the underlying geometric properties of a problem to model it is often crucial to understand and solve it. This approach has mostly been applied for isolated systems, or for systems interacting with a well-defined, deterministic environment. In this talk, I want to discuss how to go beyond this deterministic description of isolated systems to include random interactions with an environment, while retaining as much as possible the geometric properties of the isolated systems. I will discuss examples from geometric mechanics to shape analysis, ranging from interacting rigid bodies with a heath bath to uncertainties quantification in computational anatomy.Non UBCUnreviewedAu...
In traditional computational mechanics, it is often assumed that the physical properties of the syst...
In this paper the need for a rational treatment of uncertainties in structural mechanics and analysi...
It is important to account for inherent variability in the material properties in the design and ana...
In mechanics, and in particular in shape analysis, taking into account the underlying geometric prop...
Abstract The paper proposes an approach to model the geometrical uncertainty in case of curves in sp...
The study of Statistical Mechanics goes back to the 1800s and the work of Boltzmann. Since that time...
We investigate the meaning of "statistical methods" for geometric inference based on image feature p...
We study computing geometric problems on uncertain points. An uncertain point is a point that does n...
International audienceOver the last two decades, maximum entropy concepts have been broadly used to ...
Physical objects with boundaries that are irregular-random shapes---occur in profusion in the natura...
© 2016 Elsevier Ltd This paper proposes an uncertain modelling and computational method to analyze d...
Several conceptual models and data models have been proposed for geographical phenomena with uncerta...
In uncertainty calculation, the inability of interval parameters to take into account mutual depende...
It is well known that mathematical simulation parameters are often obtained by statistical estimatio...
We first investigate the meaning of "statistical methods" for geometric inference based on i...
In traditional computational mechanics, it is often assumed that the physical properties of the syst...
In this paper the need for a rational treatment of uncertainties in structural mechanics and analysi...
It is important to account for inherent variability in the material properties in the design and ana...
In mechanics, and in particular in shape analysis, taking into account the underlying geometric prop...
Abstract The paper proposes an approach to model the geometrical uncertainty in case of curves in sp...
The study of Statistical Mechanics goes back to the 1800s and the work of Boltzmann. Since that time...
We investigate the meaning of "statistical methods" for geometric inference based on image feature p...
We study computing geometric problems on uncertain points. An uncertain point is a point that does n...
International audienceOver the last two decades, maximum entropy concepts have been broadly used to ...
Physical objects with boundaries that are irregular-random shapes---occur in profusion in the natura...
© 2016 Elsevier Ltd This paper proposes an uncertain modelling and computational method to analyze d...
Several conceptual models and data models have been proposed for geographical phenomena with uncerta...
In uncertainty calculation, the inability of interval parameters to take into account mutual depende...
It is well known that mathematical simulation parameters are often obtained by statistical estimatio...
We first investigate the meaning of "statistical methods" for geometric inference based on i...
In traditional computational mechanics, it is often assumed that the physical properties of the syst...
In this paper the need for a rational treatment of uncertainties in structural mechanics and analysi...
It is important to account for inherent variability in the material properties in the design and ana...