Single image spatially variant out-of-focus blur removal

This paper addresses an out-of-focus blur problem in which the fore ground 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 deconvolution algorithm is applied to estimate the blur kernel and a coarse estimate of the image is found as a side product. Finally, the back ground is recovered using total variation minimization, and fused with the foreground to produce the final deblurred image.