Geodesic
``Plug-and-play'' edge-preserving regularization
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 465-477
In many inverse problems it is essential to use regularization methods that preserve edges in the reconstructions, and many reconstruction models have been developed for this task, such as the Total Variation (TV) approach. The associated algorithms are complex and require a good knowledge of large-scale optimization algorithms, and they involve certain tolerances that the user must choose. We present a simpler approach that relies only on standard computational building blocks in matrix computations, such as orthogonal transformations, preconditioned iterative solvers, Kronecker products, and the discrete cosine transform -- hence the term "plug-and-play." We do not attempt to improve on TV reconstructions, but rather provide an easy-to-use approach to computing reconstructions with similar properties.
Classification : 65F22, 65F30
Keywords: image deblurring, inverse problems, $p$-norm regularization, projection algorithm 
@article{ETNA_2014__41__a2,
     author = {Chen,  Donghui and Kilmer,  Misha E. and Hansen,  Per Christian},
     title = {``Plug-and-play'' edge-preserving regularization},
     journal = {Electronic transactions on numerical analysis},
     pages = {465--477},
     year = {2014},
     volume = {41},
     zbl = {1312.65064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a2/}
}
TY  - JOUR
AU  - Chen,  Donghui
AU  - Kilmer,  Misha E.
AU  - Hansen,  Per Christian
TI  - ``Plug-and-play'' edge-preserving regularization
JO  - Electronic transactions on numerical analysis
PY  - 2014
SP  - 465
EP  - 477
VL  - 41
UR  - http://geodesic.mathdoc.fr/item/ETNA_2014__41__a2/
LA  - en
ID  - ETNA_2014__41__a2
ER  - 
%0 Journal Article
%A Chen,  Donghui
%A Kilmer,  Misha E.
%A Hansen,  Per Christian
%T ``Plug-and-play'' edge-preserving regularization
%J Electronic transactions on numerical analysis
%D 2014
%P 465-477
%V 41
%U http://geodesic.mathdoc.fr/item/ETNA_2014__41__a2/
%G en
%F ETNA_2014__41__a2
Chen,  Donghui; Kilmer,  Misha E.; Hansen,  Per Christian. ``Plug-and-play'' edge-preserving regularization. Electronic transactions on numerical analysis, Tome 41 (2014), pp. 465-477. http://geodesic.mathdoc.fr/item/ETNA_2014__41__a2/