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14 December 2011 Compound tetrolet sparsity and total variation regularization for image restoration
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Proceedings Volume 8002, MIPPR 2011: Multispectral Image Acquisition, Processing, and Analysis; 80021T (2011) https://doi.org/10.1117/12.911829
Event: Seventh International Symposium on Multispectral Image Processing and Pattern Recognition (MIPPR2011), 2011, Guilin, China
Abstract
Image restoration is one of the most classical problems in image processing. The main issue of image restoration is deblurring as well as preserving the fine details. In order to restore the high quality image, we propose a compound regularization method which combines the tetrolet-based sparsity and a new weighted adaptive total variation (ATV). Tetrolet transform is a geometric adaptive Haar-type wavelet transform. It finds the optimal partition to fit the local image structures and the tetrolet coefficients can capture the textures and details information in different image scales. ATV adds two directional gradient operators into the original anisotropic TV. It not only seeks the intensity continuity horizontally and vertically, but also seeks the intensity continuity diagonally. Combining the tetrolet-based sparsity and ATV together, our model can restore the local structures and details by the tetrolet-based sparsity regularization while suppress the noise and recover piecewise smooth images with sharp edges along four directions by the ATV regularization. For solving the minimizing problem, we propose an algorithm which consists of the variable splitting method and the Dual Douglas-Rachford splitting method. The Experimental results demonstrate the efficiency of our image restoration method for preserving the structure details and the sharp edges of image.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Liqian Wang, Liang Xiao, and Zhihui Wei "Compound tetrolet sparsity and total variation regularization for image restoration", Proc. SPIE 8002, MIPPR 2011: Multispectral Image Acquisition, Processing, and Analysis, 80021T (14 December 2011); https://doi.org/10.1117/12.911829
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