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The invention relates to methods for searching for objects in video data represented by a sequence of frames showing images of a scene received from a fixed video camera and is based on the display of synthetic frames to the operator, each of said synthetic frame being capable of combining objects captured in different source frames. The method comprises constructing movement trajectories of each of the objects of interest to the operator; ordering said trajectories; compiling an updatable schedule for displaying the number of objects preset by the operator and automatically choosing for said schedule the display start times of each trajectory; constructing a plan for forming synthetic frames such that the condition of permissible mutual occlusion of the objects is fulfilled; and forming synthetic frames according to said plan and displaying them to the operator. The technical result consists in speeding the search and reducing memory size requirements and computational load.