Open AccessVariational Image Restoration and Decomposition in Shearlet Smoothness Spaces
Author(s) -
Li Min,
Xu Chen
Publication year - 2017
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2017.08.021
Subject(s) - shearlet , deblurring , smoothness , regularization (linguistics) , image restoration , mathematics , bounded function , image denoising , noise reduction , image (mathematics) , computer science , artificial intelligence , algorithm , mathematical optimization , image processing , mathematical analysis
We present the shearlet‐based variational model for image restoration and decomposition. The new model can be seen as generalizations of Daubechies‐Teschke's model. By using regularization term in shearlets smoothness spaces, and writing the problem in a shearlet framework, we obtain elegant shearlet shrinkage schemes. Furthermore, the model allows us to incorporate general bounded linear blur operators into the problem. The experiments on denoising, deblurring and decomposition of images show that our algorithm is very efficient.