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The problem of increasing the resolution of an image I/sub k/ is stated as an inverse problem of image reduction. The enlarged image must belong to the set of images which best approximates I/sub k/ after reducing. A projection of any image onto this set provides one of the possible enlarged images of I/sub k/. This is what we call an induction of I/sub k/ onto a set of acceptable super-resolutions. Different projection methods are proposed and illustrated with experimental results.
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Calle et al. (2002) studied this question.