A wavelet method for high-resolution image reconstruction with displacement errors

High-resolution image reconstruction refers to reconstructing a higher resolution image from multiple low-resolution samples of a true image. The authors consider the case where there are displacement errors in the low-resolution samples, i.e. the samples are not aligned properly. The resulting blurring operators are spatially variant. Using the theory developed by R. Chan and K. Boo (1998), we solve the problem by using an iterative algorithm based on wavelet filters and multiresolution analysis. We begin with a brief introduction to the mathematical model of the high-resolution image reconstruction