Iterative regularization and nonlinear inverse scale space based on translation invariant wavelet shrinkage

作者：Li Min^*; Hao Binbin; Feng Xiangchu

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2008, 6(1): 83-95.

DOI：10.1142/S0219691308002239

• denoising
• iterative regularization
• inverse scale space
• total variation
• translation invariant wavelet shrinkage
• redundant
• weight

In this paper, we present a new class of iterative regularization methods in the setting of Besov spaces, which can be seen as generalizations of J. Xu's method. By incorporating translation invariant wavelet transform, minimizers of the new methods can be understood as the alternative to translation invariant wavelet shrinkage with weight that is dependent on the wavelet decomposition scale and the Besov smooth order. And we generalize the iterative regularization methods to a new class of nonlinear inverse scale spaces with scale and Besov smooth order dependent weight. The numerical results show an excellent denoising effect and improvement over J. Xu's method.

• 出版日期2008-1
• 单位西安电子科技大学