Abstract
We propose a new convex regularizer,named the local color nuclear norm(LCNN),for color image recovery.The LCNN is designed to promote a property inherent in natu-ral color images-in which their local color distributions often exhibit strong linearity-and is thus expected to re-duce color artifact effectiveh: In addition,the very nature of LCNN allows us to incorporate it into various types of color image recovery formulations,with the associated con-vex optimization problems solvable using proximal splitting techniques.Applications of LCNN are demonstrated with illus trative numerical examples.