Recursive reconstruction of high resolution image from noisy undersampled multiframes

In several applications it is required to reconstruct a high-resolution noise-free image from multipath frames of undersampled low-resolution noisy images. Using the aliasing relationship between the undersamples frames and the reference image, an algorithm based on weighted recursive least-squares theory is developed in the wavenumber domain. This algorithm is efficient because interpolation and noise removal are performed recursively, and is highly suitable for implementation via the massively parallel computational architectures currently available. Success in the use of the algorithm is demonstrated through various simulated examples