  In this work, a new constrained hybrid variational deblurring model is
developed by combining the non-convex first- and second-order total variation
regularizers. Moreover, a box constraint is imposed on the proposed model to
guarantee high deblurring performance. The developed constrained hybrid
variational model could achieve a good balance between preserving image details
and alleviating ringing artifacts. In what follows, we present the
corresponding numerical solution by employing an iteratively reweighted
algorithm based on alternating direction method of multipliers. The
experimental results demonstrate the superior performance of the proposed
method in terms of quantitative and qualitative image quality assessments.
