Presentation is loading. Please wait.

Presentation is loading. Please wait.

Blind motion deblurring from a single image using sparse approximation Jian-Feng Caiy, Hui Jiz, Chaoqiang Liuy and Zuowei Shenz National University of.

Similar presentations


Presentation on theme: "Blind motion deblurring from a single image using sparse approximation Jian-Feng Caiy, Hui Jiz, Chaoqiang Liuy and Zuowei Shenz National University of."— Presentation transcript:

1 Blind motion deblurring from a single image using sparse approximation Jian-Feng Caiy, Hui Jiz, Chaoqiang Liuy and Zuowei Shenz National University of Singapore, Singapore Center for Wavelets, Approx. and Info. Proc.y and Department of Mathematicsz 2014/10/101 報告者:黃智勇 CVPR 2009

2 Outline Introduction Tight framelet system and curvelet system Sparse representation under framelet and curvelet system Formulation of our minimization Numerical algorithm and analysis Experiments 2014/10/102

3 Introduction 3 We propose to use framelet system (Ron and Shen et al. [24]) to find the sparse approximation to the image under framelet domain. We use the curvelet system (Candes and Donoho [8]) to find the sparse approximation to the blur kernel under curvelet domain.

4 Tight famelet system 2014/10/104

5 Sparse representation under framelet and curvelet system 2014/10/105

6 Formulation of our minimization 2014/10/10 6 We denote the image g (or the kernel p) as a vector g (or p). Let “ 。 ” denote the usual 2D convolution after column concatenation, then we have Let u = Ag denote the framelet coefficients of the clear image g, and let v = Cp denote the curvelet coefficients of the blur kernel p.

7 Numerical algorithm and analysis 2014/10/107 there exist only two difficult problems (14) and (15) of the same type. For such a large-scale minimization problem with up to millions of variables, there exists a very efficient algorithm based on so-called linearized Bregman iteration technique.

8 Numerical algorithm and analysis 2014/10/108

9 Experiments 9

10 Experiments 10

11 Experiments 2014/10/1011


Download ppt "Blind motion deblurring from a single image using sparse approximation Jian-Feng Caiy, Hui Jiz, Chaoqiang Liuy and Zuowei Shenz National University of."

Similar presentations


Ads by Google