Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part II: Algorithm, Its Analysis and Numerical Tests
作者: Michael HintermüllerCarlos N. RautenbergTao WuAndreas Langer
作者单位: 1Humboldt-University of Berlin
2University of Stuttgart
刊名: Journal of Mathematical Imaging and Vision, 2017, Vol.59 (3), pp.515-533
来源数据库: Springer Nature Journal
DOI: 10.1007/s10851-017-0736-2
关键词: Image restorationWeighted total variation regularizationSpatially distributed regularization weightFenchel predualBilevel optimizationVariance corridorProjected gradient methodConvergence analysis94A0868U1049K2049K3049K4049M3765K15
英文摘要: Based on the weighted total variation model and its analysis pursued in Hintermüller and Rautenberg 2016 , in this paper a continuous, i.e., infinite dimensional, projected gradient algorithm and its convergence analysis are presented. The method computes a stationary point of a regularized bilevel optimization problem for simultaneously recovering the image as well as determining a spatially distributed regularization weight. Further, its numerical realization is discussed and results obtained for image denoising and deblurring as well as Fourier and wavelet inpainting are reported on.
原始语种摘要: Based on the weighted total variation model and its analysis pursued in Hintermüller and Rautenberg 2016 , in this paper a continuous, i.e., infinite dimensional, projected gradient algorithm and its convergence analysis are presented. The method computes a stationary point of a regularized bilevel optimization problem for simultaneously recovering the image as well as determining a spatially distributed regularization weight. Further, its numerical realization is discussed and results obtained for image denoising and deblurring as well as Fourier and wavelet inpainting are reported on.
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
  • distributed 分布的
  • recovering 恢复
  • gradient 倾斜度
  • restoration 复原
  • weight 
  • optimization 最佳化
  • variation 变异
  • wavelet 波涟