Superresolution images reconstructed from aliased images

In this paper, we present a simple method to almost quadruple the spatial resolution of aliased images. From a set of four low resolution, undersampled and shifted images, a new image is constructed with almost twice the resolution in each dimension. The resulting image is aliasing-free. A small aliasing-free part of the frequency domain of the images is used to compute the exact subpixel shifts. When the relative image positions are known, a higher resolution image can be constructed using the Papoulis-Gerchberg algorithm. The proposed method is tested in a simulation where all simulation parameters are well controlled, and where the resulting image can be compared with its original. The algorithm is also applied to real, noisy images from a digital camera. Both experiments show very good results.

[1]  A. Papoulis A new algorithm in spectral analysis and band-limited extrapolation. , 1975 .

[2]  Michael T. Orchard,et al.  A fast direct Fourier-based algorithm for subpixel registration of images , 2001, IEEE Trans. Geosci. Remote. Sens..

[3]  Takeo Kanade,et al.  Limits on super-resolution and how to break them , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[4]  Li Meng,et al.  Subpixel Motion Estimation for Super-Resolution Image Sequence Enhancement , 1998, J. Vis. Commun. Image Represent..

[5]  A. Cañas Advances in Computer Vision and Image Processing.Volume 1, 1984, Image Reconstruction from Incomplete Observations , 1986 .

[6]  Shmuel Peleg,et al.  Image sequence enhancement using sub-pixel displacements , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Michal Irani,et al.  Computing occluding and transparent motions , 1994, International Journal of Computer Vision.

[8]  Russell C. Hardie,et al.  High resolution image reconstruction from digital video with global and non-global scene motion , 1997, Proceedings of International Conference on Image Processing.

[9]  Hans G. Feichtinger,et al.  Iterative algorithms in irregular sampling: a first comparison of methods , 1991, [1991 Proceedings] Tenth Annual International Phoenix Conference on Computers and Communications.

[10]  Cris L. Luengo Hendriks,et al.  Improving resolution to reduce aliasing in an undersampled image sequence , 2000 .

[11]  R. Gerchberg Super-resolution through Error Energy Reduction , 1974 .

[12]  Robert L. Stevenson,et al.  Spatial Resolution Enhancement of Low-Resolution Image Sequences A Comprehensive Review with Directions for Future Research , 1998 .

[13]  S. P. Kim,et al.  Subpixel accuracy image registration by spectrum cancellation , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  Thomas Strohmer,et al.  Computationally attractive reconstruction of bandlimited images from irregular samples , 1997, IEEE Trans. Image Process..

[15]  Michael Elad,et al.  Restoration of a single superresolution image from several blurred, noisy, and undersampled measured images , 1997, IEEE Trans. Image Process..