In digital radiography imaging, the x-ray images are formed based on a multiplicative model, in which the
projected image of an object is multiplied by the antiscatter grid shadow. Hence, the formed image is amplitude-
modulated by the grid shadow and the resultant modulated terms appear as the grid artifacts. Since the
bandwidths of the modulated terms are as wide as that of the projected image, we should employ relatively
wide-bandwidth band-stop filters (BSFs) to reduce the grid artifacts. When we apply such BSFs, the object to
be recovered is prone to distortion due to the wide filter bandwidth. In this paper, to reduce the signal bandwidth
of the grid shadow images in reduction of the grid artifacts, applying BSFs based on the homomorphic operation
is proposed by employing the logarithmic function. By taking the logarithm of the formed image, we can separate
the multiplicative grid component from both projected image and the exposure of x-rays. Hence, by employing
a relatively narrow and fixed-bandwidth BSFs, we can efficiently alleviate the grid artifacts independently of
the strength of the grid artifacts comparing to the conventional linear approaches. For real x-ray images, the
superior performance of the proposed approach is compared in this paper.
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