Abstract: The relative motion between a camera and the scene will lead to blurred images. Note that the linear motion of an object can be described by the traveling wave equation. This model may be used for explaining the formation of the above image blur and for its restoration in spatial domain as well. Investigations in this paper are first made on the removal of image blur caused by a uniform, linear motion along the horizontal direction, including the detection and measurement of the motion direction and displacement, and a recursive solution of the original image; then on the generalization of the method to 2-D case so as to suit the uniform linear motion along an arbitrary direction. The experimental results show that the ring-bell effect inherent from traditional frequency domain processing as well as the expensive iterations in solution can be avoided by such a spatial domain processing.