An image acquisition system captures blurred images, because the camera moves while its shutter is open. Suppose the shutter speed, i.e., the time interval while the ?lm is exposed to light, is [0, T]. It is known that the camera motion in [0, T] is characterized by a spatially uniform acceleration a = [ax, ay] along both x and y image axes.
That is, the ray of light passes in the interval [0, t] the length of x(t) = axt2/2 along the x-axis in the image, and the length of y(t) = ayt2/2 along the y-axis in the image. Find the blurring degradation function H(u, v) of this image acquisition system.