Blur Identification and Image Super-Resolution Reconstruction Using an Approach Similar to Variable Projection

Super-resolution reconstruction (SRR) produces a high-resolution image from multiple low-resolution images. Many image SRR algorithms assume that the blurring process, i.e., point spread function (PSF) of the imaging system is known in advance. However, the blurring process is not known or is known only to within a set of parameters in many practical applications. In this letter, we propose an approach for solving the joint blur identification and image SRR based on the principle similar to the variable projection method. The approach can avoid some shortcomings of cyclic coordinate descent optimization procedure. We also propose an efficient implementation based on Lanczos algorithm and Gauss quadrature theory. Experimental results are presented to demonstrate the effectiveness of our method.