论文信息 - Fast Super-Resolution for Rational Magnification Factors

Fast Super-Resolution for Rational Magnification Factors

Super-resolution (SR) is a technique that generates a high-resolution (HR) image from a set of low-resolution (LR) ones. Previous preconditioning methods for SR did not consider the case of rational magnification factors. In this paper, a method for preconditioning SR problems involving such factors is presented. We show that by reordering the pixels of the observed LR images, the structure of the linear problem to solve is modified in such a way that preconditioners based on circulant operators can be used. Simulations with magnification factors of practical interest demonstrate the effectiveness of our approach.

Jeremy R. Cooperstock | Stéphane Pelletier | J. Cooperstock | Stéphane Pelletier

[1] K. Chen,et al. Matrix preconditioning techniques and applications , 2005 .

[2] Peyman Milanfar,et al. A computationally efficient superresolution image reconstruction algorithm , 2001, IEEE Trans. Image Process..

[3] James G. Nagy,et al. Toeplitz approximate inverse preconditioner for banded Toeplitz matrices , 1994, Numerical Algorithms.

[4] Heung-Yeung Shum,et al. Fundamental limits of reconstruction-based superresolution algorithms under local translation , 2004 .

[5] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .

[6] Michael K. Ng,et al. A Fast Algorithm for Image Super-Resolution from Blurred Observations , 2006, EURASIP J. Adv. Signal Process..

[7] G. Strang. A proposal for toeplitz matrix calculations , 1986 .

[8] S. Chaudhuri. Super-Resolution Imaging , 2001 .

[9] Sergios Theodoridis,et al. A Novel Efficient Cluster-Based MLSE Equalizer for Satellite Communication Channels with-QAM Signaling , 2006, EURASIP J. Adv. Signal Process..

[10] Harry Shum,et al. Fundamental limits of reconstruction-based superresolution algorithms under local translation , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11] Moon Gi Kang,et al. Super-resolution image reconstruction: a technical overview , 2003, IEEE Signal Process. Mag..

[12] Jeremy R. Cooperstock,et al. Preconditioning for Temporal Video Superresolution , 2006, BMVC.