Abstract. Blind image deblurring is a challenging problem due to its ill-posed
nature, of which the success is closely related to a proper image prior. Although
a large number of sparsity-based priors, such as the sparse gradient prior, have
been successfully applied for blind image deblurring, they inherently suffer from
several drawbacks, limiting their applications. Existing sparsity-based priors are
usually rooted in modeling the response of images to some specific filters (e.g.,
image gradients), which are insufficient to capture the complicated image structures. Moreover, the traditional sparse priors or regularizations model the filter
response (e.g., image gradients) independently and thus fail to depict the longrange correlation among them. To address the above issues, we present a novel
image prior for image deblurring based on a Super-Gaussian field model with
adaptive structures. Instead of modeling the response of the fixed short-term filters, the proposed Super-Gaussian fields capture the complicated structures in
natural images by integrating potentials on all cliques (e.g., centring at each pixel)
into a joint probabilistic distribution. Considering that the fixed filters in different
scales are impractical for the coarse-to-fine framework of image deblurring, we
define each potential function as a super-Gaussian distribution. Through this definition, the partition function, the curse for traditional MRFs, can be theoretically
ignored, and all model parameters of the proposed Super-Gaussian fields can be
data-adaptively learned and inferred from the blurred observation with a variational framework. Extensive experiments on both blind deblurring and non-blind
deblurring demonstrate the effectiveness of the proposed method.