Single image spatially variant out-of-focus blur removal
This paper addresses an out-of-focus blur problem in which the foreground object is in focus whereas the background scene is out of focus. To recover the details of the background scene, a spatially variant blind deconvolution problem must be solved. However, spatially variant deconvolution is computationally intensive because Fourier-based methods cannot be used to handle spatially variant convolution operators. The proposed method exploits the invariant structure of the problem by first predicting the background. Then a blind decon-volution algorithm is applied to estimate the blur kernel and a coarse estimate of the image is found as a side product. Finally, the background is recovered using total variation minimization, and fused with the foreground to produce the final deblurred image.