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Total Variation Projection with First Order Schemes

Peyré, Gabriel; Fadili, Jalal (2009-04), Total Variation Projection with First Order Schemes, IEEE International Conference on Image Processing ICIP 2009 Proceedings, IEEE, p. 1325-1328

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/hal-00380491/en/
Date
2009-04
Conference title
16th IEEE International Conference on Image Processing
Conference date
2009-11
Conference city
Le Caire
Conference country
Égypte
Book title
IEEE International Conference on Image Processing ICIP 2009 Proceedings
Publisher
IEEE
ISBN
978-1-4244-5653-6
Pages
1325-1328
Publication identifier
http://dx.doi.org/10.1109/ICIP.2009.5413571
Metadata
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Author(s)
Peyré, Gabriel
Fadili, Jalal
Abstract (EN)
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.
Subjects / Keywords
Nesterov scheme; inverse problems; forward-backward splitting; proximal operator; duality; projection; Total variation

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