This article describes the implementation of a simple wavelet-based optical-flow motion estimator dedicated to continuous motions such as fluid flows. The wavelet representation of the unknown velocity field is considered. This scale-space representation, associated to a simple gradient-based optimization algorithm, sets up a well-defined multiresolution framework for the optical flow estimation. Moreover, a very simple closure mechanism, approaching locally the solution by high-order polynomials is provided by truncating the wavelet basis at fine scales. Accuracy and efficiency of the proposed method is evaluated on image sequences of turbulent fluid flows.

Virtual reality simulations of maintenance operations are a key simulation to improve the performance and quality of products. Real-time requirements of virtual reality systems face difficulties when coping with flexible components exhibiting strong non-linear behaviour. To this end, an interactive system incorporating mechanical models of flexible parts behaviour is described in the present paper. The approach proposed will be used as a basis to the simulation of flexible parts in a virtual reality environment for the evaluation of assembly operations. First of all, the study of current assembly planning systems based on the real-time approaches is performed. Secondly, a new system integrating real-time and interactive mechanical simulation approaches is proposed. An adequate simulation of the flexible components to estimate the assemblability in a virtual reality is discussed. This is especially true when flexible parts are subjected to large displacements. Finally, the example of the interactive mechanical behaviour model used into an assembly context for the virtual reality simulation environments is represented.