  The sampling effect of the imaging acquisition device is long considered to
be a modulation process of the input signal, introducing additional error into
the signal acquisition process. This paper proposes a correction algorithm for
the modulation process that solves the sampling effect with high accuracy. We
examine the algorithm with perfect continuous Gaussian images and selected
digitized images, which indicate an accuracy increase of 106 for Gaussian
images, 102 at 15 times of Shannon interpolation for digitized images, and 105
at 101 times of Shannon interpolation for digitized images. The accuracy limit
of the Gaussian image comes from the truncation error, while the accuracy limit
of the digitized images comes from their finite resolution, which can be
improved by increasing the time of Shannon interpolation.
