This paper presents animated sweepers, a method for animating the space deformations called sweepers. This technique allows a user to animate the modeling of a shape, and to edit the animation until it satisfies the user?s requirements. To place this method in the more general framework of animation with space deformation, we propose an overview of the possible relations between time and the deformation parameter. We formulate sweepers to take into account a varying time parameter, and present the data structure that allows the user to efficiently edit the modeling of a shape. This data structure has been implemented as a Maya plugin. Its implementation in the Maya API is described.