The restoration of large blur image based on POCS algorithm

When we obtain some static images by a very high speed camera, the images exist large blur, and the PSF may exceed the half size of image resolution which we call ultra-half-length-blur. All the experiments are based on images which are 256 pixels by 256 pixels. Firstly, we consider horizontal blur of images between 50 and 60 pixels, then, we increase the length of horizontal blur to 100 pixels which is close to the half length of horizontal resolution of image, the blur images exist pixel alias in a certain extent, and the POCS algorithm can restore these blur images as well. For the condition of ultra-half-length-blur which exists more than 150 pixels of horizontal blur, we can not distinguish details in all the blur images, and can not restore the high-resolution image by traditional POCS algorithm. Therefore, we establish a PSF model of ultra-half-length-blur, we use different interpolations for the SR estimation at first, then we apply two POCS algorithms of ultra-half-length-blur PSF model, one is pixel-by-pixel, the other is every-other-pixel. Finally, we identify the ultimate performance of POCS algorithm by these large blur experiments.