Several imaging systems produce pictures by superimposing the two fields of frames of interlaced sequences. The pictures obtained in this way, which are termed composite frames, are severely degraded if relative motion between the camera and the scene occurs. In the presence of motion the composite frame is affected by two types of distortions: the edge "staircase effect" due to the fact that objects appear at different positions in successive fields, and motion blur due to the scene motion during each field exposure. Motion-deinterlacing methods previously proposed to recover the "staircase effect" neglect the motion blur. However the motion blur may be significant, especially in systems designed for low intensity radiometric imaging which use long exposures, or even in short exposure systems which happen to be in moving vehicles such as tanks, planes, ships, etc. . In this paper we introduce an algorithm for restoration of the two types of distortions in a composite frame degraded by linear uniform motion.