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A nonlinear multigrid method for total variation minimization from image restoration

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : A nonlinear multigrid method for total variation minimization from image restoration
นักวิจัย : Chen, Ke , Tai, Xue Cheng
คำค้น : DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis , DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2550
อ้างอิง : 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. , 1573-7691 , http://hdl.handle.net/10220/4595 , 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 , http://dx.doi.org/10.1007/s10915-007-9145-9
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Journal of scientific computing
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

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.

บรรณานุกรม :
Chen, Ke , Tai, Xue Cheng . (2550). A nonlinear multigrid method for total variation minimization from image restoration.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Chen, Ke , Tai, Xue Cheng . 2550. "A nonlinear multigrid method for total variation minimization from image restoration".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Chen, Ke , Tai, Xue Cheng . "A nonlinear multigrid method for total variation minimization from image restoration."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2550. Print.
Chen, Ke , Tai, Xue Cheng . A nonlinear multigrid method for total variation minimization from image restoration. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2550.