Sciweavers

JSCIC
2007

A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration

13 years 11 months ago
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration
Image restoration has been an active research topic and variational formulations are particularly effective in high quality recovery. Although there exist many modelling and theoretical results, available iterative solvers are not yet robust in solving such modeling equations. Recent attempts on developing optimisation multigrid methods have been based on first order conditions. Different from this idea, this paper proposes to use piecewise linear function spanned subspace correction to design a multilevel method for directly solving the total variation minimisation. Our method appears to be more robust than the primaldual method (Chan et al., SIAM J. Sci. Comput. 20(6), 1964–1977, 1999) previously found reliable. Supporting numerical results are presented. Keywords Image restoration · Total variation · Regularisation · Subspace correction · Multilevel solvers
Ke Chen 0002, Xue-Cheng Tai
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where JSCIC
Authors Ke Chen 0002, Xue-Cheng Tai
Comments (0)