Piecewise Harmonic Image Restoration with High Order Variational Model

2018 ◽  
pp. 539-549
Author(s):  
Bibo Lu ◽  
Zhenzhen Huangfu ◽  
Rui Huang
Keyword(s):  
Image Restoration ◽  
High Order ◽  
Variational Model

A hybrid convex variational model for image restoration

2010 ◽  
Vol 215 (10) ◽  
pp. 3655-3664 ◽  
Author(s):  
V.B. Surya Prasath ◽  
Arindama Singh
Keyword(s):  
Image Restoration ◽  
Variational Model

scholarly journals Image Restoration by a Mixed High-Order Total Variation and l1 Regularization Model

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Jianguang Zhu ◽  
Kai Li ◽  
Binbin Hao
Keyword(s):  
Total Variation ◽  
High Order ◽  
Variational Model ◽  
Total Variation Regularization ◽  
Current State ◽  
Model Combining ◽  
Alternating Direction ◽  
Proposed Model ◽  
Sharp Edges ◽  
Thresholding Algorithm

Total variation regularization is well-known for recovering sharp edges; however, it usually produces staircase artifacts. In this paper, in order to overcome the shortcoming of total variation regularization, we propose a new variational model combining high-order total variation regularization and l1 regularization. The new model has separable structure which enables us to solve the involved subproblems more efficiently. We propose a fast alternating method by employing the fast iterative shrinkage-thresholding algorithm (FISTA) and the alternating direction method of multipliers (ADMM). Compared with some current state-of-the-art methods, numerical experiments show that our proposed model can significantly improve the quality of restored images and obtain higher SNR and SSIM values.

scholarly journals High-order aberration compensation with multi-frame blind deconvolution and phase diversity image restoration techniques

2010 ◽  
Vol 521 ◽  
pp. A68 ◽  
Author(s):  
G. B. Scharmer ◽  
M. G. Löfdahl ◽  
T. I. M. van Werkhoven ◽  
J. de la Cruz Rodriguez
Keyword(s):  
Image Restoration ◽  
Blind Deconvolution ◽  
High Order ◽  
Phase Diversity ◽  
High Order Aberration ◽  
Restoration Techniques

scholarly journals Introducing diffusion tensor to high order variational model for image reconstruction

2017 ◽  
Vol 69 ◽  
pp. 323-336 ◽  
Author(s):  
Jinming Duan ◽  
Wil O.C. Ward ◽  
Luke Sibbett ◽  
Zhenkuan Pan ◽  
Li Bai
Keyword(s):  
Image Reconstruction ◽  
Diffusion Tensor ◽  
High Order ◽  
Variational Model
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