Tensor compressed video sensing reconstruction by combination of fractional-order total variation and sparsifying transform

2017 ◽  
Vol 55 ◽  
pp. 146-156 ◽  
Author(s):  
Gao Chen ◽  
Gang Li ◽  
Jiashu Zhang
Keyword(s):  
Total Variation ◽  
Fractional Order ◽  
Compressed Video

Four-directional fractional-order total variation regularization for image denoising

2017 ◽  
Vol 26 (05) ◽  
pp. 1 ◽  
Author(s):  
Linna Wu ◽  
Yingpin Chen ◽  
Jiaquan Jin ◽  
Hongwei Du ◽  
Bensheng Qiu
Keyword(s):  
Image Denoising ◽  
Total Variation ◽  
Fractional Order ◽  
Total Variation Regularization

scholarly journals An adaptive model combining a total variation filter and a fractional-order filter for image restoration

2019 ◽  
Vol 13 ◽  
pp. 174830181983305 ◽  
Author(s):  
Yafeng Yang ◽  
Donghong Zhao
Keyword(s):  
Image Restoration ◽  
Total Variation ◽  
Fractional Order ◽  
Gradient Algorithm ◽  
Remarkable Effect ◽  
Order Filter ◽  
Model Combining ◽  
Proposed Model ◽  
Primal Dual ◽  
Image Edges

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.

Fractional-order total variation for improving image fusion based on saliency map

2020 ◽  
Vol 14 (5) ◽  
pp. 991-999
Author(s):  
Qiaolu Wang ◽  
Zhisheng Gao ◽  
Chunzhi Xie ◽  
Gongping Chen ◽  
Qingqing Luo
Keyword(s):  
Image Fusion ◽  
Total Variation ◽  
Fractional Order ◽  
Saliency Map

Wavelet inpainting by fractional order total variation

2016 ◽  
Vol 29 (1) ◽  
pp. 299-320
Author(s):  
Lingling Jiang ◽  
Haiqing Yin
Keyword(s):  
Total Variation ◽  
Fractional Order
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