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This work proposes and analyzes a Smolyak-type sparse grid stochastic collocation method for the approximation of statistical quantities related to the solution of partial differential equations with random coeffcients and forcing terms ( input data of the ...
Society for Industrial and Applied Mathematics2008
In video surveillance and sports analysis applications, object trajectories offer the possibility of extracting rich information on the underlying behavior of the moving targets. To this end we introduce an extension of Point Distribution Models (PDM) to a ...
In recent years, the advent of robust tracking systems has enabled behavioral analysis of individuals based on their trajectories. An analysis method based on a Point Distribution Model (PDM) is presented here. It is an unsupervised modeling of the traject ...
We study the simple random walk on the n-dimensional hypercube, in particular its hitting times of large (possibly random) sets. We give simple conditions on these sets ensuring that the properly rescaled hitting time is asymptotically exponentially distri ...
The need for efficient security systems led to the development of automatic behavioral identification tools using video tracking. However, in the field of mobile robotics, trajectories are seldom taken into account to qualify robot behavior. Most metrics r ...
We address the problem of determining the \emph{optimal model complexity} for shape modeling. This complexity is a compromise between model specificity and generality. We show that the error of a model can be split into two components, the model error and ...
The translational dynamics of CF3 in liquid helium have been investigated by photodissociating CF3I dissolved in helium droplets consisting of several thousands of atoms. The velocity distribution of CF3 fragments that have escaped from the droplets has be ...
The dielectric and piezoelectric response of ferroelectric thin films and ceramics was investigated as a function of the driving field amplitude. Detailed analysis of the amplitude and phase angle of the third harmonic of the dielectric displacement and pi ...
We present new techniques that use motion planning algorithms based on probabilistic roadmaps to control 22 degrees of freedom (DOFs) of human-like characters in interactive applications. Our main purpose is the automatic synthesis of collision-free reachi ...
Many neurophysiological and behavioural studies suggested that the lower limb endpoint might be a centrally represented variable within the gravity reference frame and effectively controlled during the locomotion. This investigation examines the effects of ...