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We propose in this paper a new formulation of the equation of the optical flow enabling to compute global and local motions of multi-structure objects (flowers and petals, trees and leaves). The displacement fields are computed using a Markovian random field (MRF) model. Local and global components of the vector flow are both explicitly retrieved. The minimization of the Gibbs energy is achieved with a down-scaling approach, in which we first analyze the motion of the compact object, the sub-structures movement being retrieved in a second stage. We validate and demonstrate the efficiency of our approach on synthetic and real images for various applications.