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Limits on super-resolution and how to break them
Baker, S.   Kanade, T.  
Robotics Inst., Carnegie Mellon Univ., Pittsburgh, PA;

This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Sep 2002
Volume: 24,  Issue: 9
On page(s): 1167- 1183
ISSN: 0162-8828
References Cited: 53
CODEN: ITPIDJ
INSPEC Accession Number: 7377238
Digital Object Identifier: 10.1109/TPAMI.2002.1033210
Current Version Published: 2002-11-07

Abstract
Nearly all super-resolution algorithms are based on the fundamental constraints that the super-resolution image should generate low resolution input images when appropriately warped and down-sampled to model the image formation process. (These reconstruction constraints are normally combined with some form of smoothness prior to regularize their solution.) We derive a sequence of analytical results which show that the reconstruction constraints provide less and less useful information as the magnification factor increases. We also validate these results empirically and show that, for large enough magnification factors, any smoothness prior leads to overly smooth results with very little high-frequency content. Next, we propose a super-resolution algorithm that uses a different kind of constraint in addition to the reconstruction constraints. The algorithm attempts to recognize local features in the low-resolution images and then enhances their resolution in an appropriate manner. We call such a super-resolution algorithm a hallucination or reconstruction algorithm. We tried our hallucination algorithm on two different data sets, frontal images of faces and printed Roman text. We obtained significantly better results than existing reconstruction-based algorithms, both qualitatively and in terms of RMS pixel error

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