each pixel is displayed during most of the picture time in case any part of the picture contains motion the viewer will track this motion as each pixel is displayed substantially the whole picture time the intensity of pixels showing the motion is integrated along the motion trajectory as follows f out u2061 x u2192 n 1 t i u2062 u222b 0 t i u2062 f u2061 x u2192 t t u2062 d u2192 n u2062 u2062 u2146 t 1 where t i is the display time f is the input video signal f out is the output video signal and t is the picture period the vector d is the product of the object velocity and the picture period in case t i is constant the integration is the same as a convolution of f x n and a sample and hold function h x f out u2061 x u2192 n u2062 t t i u2062 u222b 0 t i t u2062 f u2061 x u2192 u03b1 u2062 u2062 d u2192 n u2062 u2062 u2146 u03b1 u2062 u222b u221e u221e u2062 f u2061 x u2192 u03b1 u2062 u2062 d u2192 n u2062 h 1 u2061 u03b1 u2062 u2062 d u2192 u2062 u2062 u2146 u03b1 u2062 f u2061 x u2192 n h u2061 x u2192 2 h 1 u2061 u03b1 u2062 u2062 d u2192 t t i 0 u2264 u03b1 u2264 t t i 0 otherwise 3 from an analysis in the fourier domain it is apparent that the original signal can be reconstructed by inverse filtering the output signal f u2061 f u2192 n f out.