2.6 Suppose that an image f (x, y) undergoes planer motion, and let x0(t) and y0(t) be the time-varying components of motion in the x- and y-directions, respectively.

The total exposure at any point of the recording medium (e.g., film) is obtained by integrating the instantaneous exposure over the time interval during which the shutter is open. Then, if T is the duration of exposure, we have

where g(x, y) is the output image.

a. Show that the OTF of the system is

b. Suppose that the image undergoes motion in the x-direction only, at the rate of x0(t) ¼ 0:5at2. Sketch the resulting MTF.

Transcribed Image Text:

g(x,y) = -11- 0 f(x-xo(t), y-yo(t))dt