Nonconvex Regularization for Shape Preservation

We show that using a nonconvex penalty term to regularize image reconstruction can substantially improve the preservation of object shapes. The commonly-used total-variation regularization, | u|, penalizes the length of object edges. We show that | u|p , 0 < p < 1, only penalizes edges of dimension at least 2 - p, and thus finite-length edges not at all. We give numerical examples showing the resulting improvement in shape preservation.

• Type: Conference
• Year: 2007
• Where: ICIP
• Authors: Rick Chartrand
• Keywords: Commonly-used Total-variation Regularization, Finite-length Edges, ICIP 2007, Image Processing, Nonconvex Penalty Term, Object Edges