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How the blur is removed caused by uniform linear motion in image processing?

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An image f(x,y) undergoes planar motion in the x and y-direction and x0(t)

and y0(t) are the time varying components of motion. The total exposure at any

point of the recording medium (digital memory) is obtained by integrating the

instantaneous exposure over the time interval during which the imaging system

shutter is open.

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