The main aim of this paper is to propose a new neural algorithm to perform a segmentation of an observed scene in regions
corresponding to different moving objects, by analysing a time-varying image sequence. The method consists of a classification
step, where the motion of small patches is recovered through an optimisation approach, and a segmen-tation step merging neighbouring
patches characterised by the same motion. Classification of motion is performed without optical flow computation. Three-dimensional
motion parameter estimates are obtained directly from the spatial and temporal image gradients by minimising an appropriate
energy function with a Hopfield-like neural network. Network convergence is accelerated by integrating the quantitative estimation
of the motion parameters with a qualitative estimate of dominant motion using the geometric theory of differential equations.
Keywords:Geometric theory of differential equations; Hopfield neural network; Optical flow analysis; Qualitive description
of motion field