TY - JOUR
T1 - Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels
AU - Ng, Kwok Po
AU - Yuan, Xiaoming
AU - Zhang, Wenxing
PY - 2013/6
Y1 - 2013/6
N2 - In this paper, we develop a decomposition model to restore blurred images with missing pixels. Our assumption is that the underlying image is the superposition of cartoon and texture components. We use the total variation norm and its dual norm to regularize the cartoon and texture, respectively. We recommend an efficient numerical algorithm based on the splitting versions of augmented Lagrangian method to solve the problem. Theoretically, the existence of a minimizer to the energy function and the convergence of the algorithm are guaranteed. In contrast to recently developed methods for deblurring images, the proposed algorithm not only gives the restored image, but also gives a decomposition of cartoon and texture parts. These two parts can be further used in segmentation and inpainting problems. Numerical comparisons between this algorithm and some state-of-the-art methods are also reported.
AB - In this paper, we develop a decomposition model to restore blurred images with missing pixels. Our assumption is that the underlying image is the superposition of cartoon and texture components. We use the total variation norm and its dual norm to regularize the cartoon and texture, respectively. We recommend an efficient numerical algorithm based on the splitting versions of augmented Lagrangian method to solve the problem. Theoretically, the existence of a minimizer to the energy function and the convergence of the algorithm are guaranteed. In contrast to recently developed methods for deblurring images, the proposed algorithm not only gives the restored image, but also gives a decomposition of cartoon and texture parts. These two parts can be further used in segmentation and inpainting problems. Numerical comparisons between this algorithm and some state-of-the-art methods are also reported.
KW - Cartoon and texture
KW - deblurring
KW - image decomposition
KW - variable splitting method
UR - http://www.scopus.com/inward/record.url?scp=84875853070&partnerID=8YFLogxK
U2 - 10.1109/TIP.2013.2246520
DO - 10.1109/TIP.2013.2246520
M3 - Journal article
AN - SCOPUS:84875853070
SN - 1057-7149
VL - 22
SP - 2233
EP - 2246
JO - IEEE Transactions on Image Processing
JF - IEEE Transactions on Image Processing
IS - 6
M1 - 6459598
ER -