Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory
作者: Michael HintermüllerCarlos N. Rautenberg
作者单位: 1Weierstrass Institute
2Humboldt-University of Berlin
刊名: Journal of Mathematical Imaging and Vision, 2017, Vol.59 (3), pp.498-514
来源数据库: Springer Nature Journal
DOI: 10.1007/s10851-017-0744-2
关键词: Image restorationWeighted total variation regularizationSpatially distributed regularization weightFenchel predualBilevel optimizationVariance corridor94A0868U1049K2049K3049K4049M3765K15
英文摘要: A weighted total variation model with a spatially varying regularization weight is considered. Existence of a solution is shown, and the associated Fenchel predual problem is derived. For automatically selecting the regularization function, a bilevel optimization framework is proposed. In this context, the lower-level problem, which is parameterized by the regularization weight, is the Fenchel predual of the weighted total variation model and the upper-level objective penalizes violations of a variance corridor. The latter object relies on a localization of the image residual as well as on lower and upper bounds inspired by the statistics of the extremes.
原始语种摘要: A weighted total variation model with a spatially varying regularization weight is considered. Existence of a solution is shown, and the associated Fenchel predual problem is derived. For automatically selecting the regularization function, a bilevel optimization framework is proposed. In this context, the lower-level problem, which is parameterized by the regularization weight, is the Fenchel predual of the weighted total variation model and the upper-level objective penalizes violations of a variance corridor. The latter object relies on a localization of the image residual as well as on lower and upper bounds inspired by the statistics of the extremes.
全文获取路径: Springer Nature  (合作)
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影响因子:1.767 (2012)

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关键词翻译
关键词翻译
  • regularization 正则化
  • Selection 分选
  • weight 
  • distributed 分布的
  • variation 变异
  • restoration 复原
  • optimization 最佳化
  • predual 预对偶
  • varying 变化的
  • inspired 吸入的