Publication details

Robust Multichannel Blind Deconvolution via Fast Alternating Minimization

Journal Article

Šroubek Filip, Milanfar P.

serial: IEEE Transactions on Image Processing vol.21, 4 (2012), p. 1687-1700

research: CEZ:AV0Z10750506

project(s): 1M0572, GA MŠk, GAP103/11/1552, GA ČR, VG20102013064, GA MV

keywords: blind deconvolution, augmented Lagrangian, sparse representation

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abstract (eng):

Blind deconvolution, which comprises simultaneous blur and image estimations, is a strongly ill-posed problem. It is by now well known that if multiple images of the same scene are acquired, this multichannel (MC) blind deconvolution problem is better posed and allows blur estimation directly fromthe degraded images.We improve theMC idea by adding robustness to noise and stability in the case of large blurs or if the blur size is vastly overestimated. We formulate blind deconvolution as an–regularized optimization problemand seek a solution by alternately optimizing with respect to the image and with respect to blurs. Each optimization step is converted to a constrained problem by variable splitting and then is addressed with an augmented Lagrangian method, which permits simple and fast implementation in the Fourier domain. The rapid convergence of the proposed method is illustrated on synthetically blurred data. Applicability is also demonstrated on the deconvolution of real photos taken by a digital camera.