title: Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem.
abstract: In this paper, we consider the nonnegatively constrained multichannel image deblurring problem and propose regularizing active set methods for numerical restoration. For image deblurring problems, it is reasonable to solve a regularizing model with nonnegativity constraints because of the physical meaning of the image. We consider a general regularizing l(p)-l(q) model with nonnegativity constraints. For p and q equaling 2, the model is in a convex quadratic form, therefore, the active set method is proposed since the nonnegativity constraints are imposed naturally. For p and q not equaling 2, we present an active set method with a feasible Newton-conjugate gradient solution technique. Numerical experiments are presented for ill-posed three-channel blurred image restoration problems.
authors.affiliation: Key Laboratory of Petroleum Geophysics, Institute of Geology and Geophysics,Chinese Academy of Sciences, P.O. Box 9825, Beijing, 100029, China. yfwang_ucf@yahoo.com
authors.forename: Yanfei
authors.initials: Y
authors.lastname: Wang
authors.forename: Jingjie
authors.initials: J
authors.lastname: Cao
authors.forename: Yaxiang
authors.initials: Y
authors.lastname: Yuan
authors.forename: Changchun
authors.initials: C
authors.lastname: Yang
authors.forename: Naihua
authors.initials: N
authors.lastname: Xiu