Fast sparse reconstruction: Greedy inverse scale space flows

2015 ◽  
Vol 85 (297) ◽  
pp. 179-208 ◽  
Author(s):  
Michael Moeller ◽  
Xiaoqun Zhang
Author(s):  
MIN LI ◽  
BINBIN HAO ◽  
XIANGCHU FENG

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.


2012 ◽  
Vol 82 (281) ◽  
pp. 269-299 ◽  
Author(s):  
Martin Burger ◽  
Michael Möller ◽  
Martin Benning ◽  
Stanley Osher

2018 ◽  
Vol 34 (4) ◽  
pp. 045008 ◽  
Author(s):  
Marie Foged Schmidt ◽  
Martin Benning ◽  
Carola-Bibiane Schönlieb

2010 ◽  
Vol 90 (8) ◽  
pp. 1215-1225
Author(s):  
Xiangchu Feng ◽  
Guojun Liu ◽  
Weiwei Wang

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