We propose in this paper a new formulation of the equation of the optical flow enabling to compute global and local motions ofmulti-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.