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1Total Variation Projection with First Order Schemes
| Content Provider | CiteSeerX |
|---|---|
| Author | Fadili, Jalal M. |
| Abstract | Abstract—This article proposes a new algorithm to compute the projection on the set of images whose total variation is bounded by a constant. The projection is computed through a dual formulation that is solved by first order non-smooth optimization methods. This yields an iterative algorithm that computes iterative soft thresholding of the dual vector fields. This projection algorithm can then be used as a building block in a variety of applications such as solving inverse problems under a total variation constraint, or for texture synthesis. Numerical results show that our algorithm competes favorably with state-of-the-art TV projection methods to solve denoising, texture synthesis, inpainting and deconvolution problems. Index Terms—Total variation, projection, duality, proximal operator, forward-backward splitting, Nesterov scheme, inverse problems. I. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Texture Synthesis Dual Formulation First Order Scheme Variation Projection State-of-the-art Tv Projection Method First Order Non-smooth Optimization Method Forward-backward Splitting Index Term Total Variation Nesterov Scheme Total Variation Constraint Proximal Operator Deconvolution Problem Projection Algorithm Dual Vector Field Iterative Soft Thresholding |
| Content Type | Text |
| Resource Type | Article |
