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A nonlinear multigrid method for total variation minimization from image restoration

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A nonlinear multigrid method for total variation minimization from image restoration

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dc.contributor.author Chen, Ke
dc.contributor.author Tai, Xue Cheng
dc.date.accessioned 2009-05-06T07:00:30Z
dc.date.available 2009-05-06T07:00:30Z
dc.date.copyright 2007
dc.date.issued 2009-05-06T07:00:30Z
dc.identifier.citation Chen, K., & Tai, X. C. (2007). A nonlinear multigrid method for total variation minimization from image restoration. Journal of Scientific Computing, 33(2), 115-138.
dc.identifier.issn 1573-7691
dc.identifier.uri http://hdl.handle.net/10220/4595
dc.description.abstract 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 primal-dual method (Chan et al., SIAM J. Sci. Comput. 20(6), 1964–1977, 1999) previously found reliable. Supporting numerical results are presented.
dc.format.extent 24 p.
dc.language.iso en
dc.relation.ispartofseries Journal of scientific computing
dc.rights Journal of Scientific @ copyright 2006 Computing Springer Verlag. The journal's website is located at http://www.springerlink.com/home/main.mpx
dc.subject DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
dc.subject DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision
dc.title A nonlinear multigrid method for total variation minimization from image restoration
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.openurl http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:METAPRESS_XML&id=doi:&genre=Journal Article&isbn=&issn=&date=2007&volume=33&issue=2&spage=115&epage=138&aulast=Chen&aufirst=Ke&auinit=&title=Journal%20of%20Scientific%20Computing&atitle=A%20Nonlinear%20Multigrid%20Method%20for%20Total%20Variation%20Minimization%20from%20Image%20Restoration
dc.identifier.doi http://dx.doi.org/10.1007/s10915-007-9145-9
dc.description.version Published version

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