This paper extends and generalizes recent results on the characterization and parametrization of observers for linear systems in the behavioral framework. We formulate the results in the language of quotient signal modules that was developed by Oberst and first used in the context of observer theory by the first author. The resulting characterization of observers in terms of a generalized inter...

For a Reactive Virtual Trainer(RVT), subtle timing and lifelikeness of motion is of primary importance. To allow for reactivity, movement adaptation, like a change of tempo, is necessary. In this paper we investigate the relation between movement tempo, its synchronization to verbal counting, time distribution, amplitude, and left-right symmetry of a clapping movement. We analyze motion capture...

We discuss applications of a recently developed method for model reduction based on linear response theory of weakly coupled dynamical systems. We apply the weak coupling method to simple stochastic differential equations with slow and fast degrees of freedom. The weak coupling model reduction method results in general in a non-Markovian system, we therefore discuss the Markovianization of the ...

Algebraic surfaces – which are frequently used in geometric modeling – are represented either in implicit or parametric form. Several techniques for parameterizing a rational algebraic surface as a whole exist. However, in many applications, it suffices to parameterize a small portion of the surface. This motivates the analysis of local parametrizations, i.e., parametrizations of a small neighb...

background: evaluation of intra-city roads in terms of environmental factors of motor vehicle injuries can help us to better identify these factors and the share of each of the factors in injuries. therefore, this study was conducted to determine the high injury areas and the risk factors of motor vehicle crashes resulting in injury and death in tehran, the capital city of iran, from november 2...