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Vese, “Image decomposition, image restoration, and texture modeling using total variation minimization (2003)
| Content Provider | CiteSeerX |
|---|---|
| Author | Osher, Stanley Solé, Andrés Vese, Luminita |
| Description | This paper is in the memory of our special friend and co-author Andrés Solé, whose life ended too early. He will remain in our memory and thoughts. We propose a new model for image restoration and decomposition, based on the total variation minimization of Rudin-Osher-Fatemi [8], and on some new techniques by Y. Meyer [5] for oscillatory functions. An initial image f is decomposed into a cartoon part u and a texture or noise part v. The u component is modeled by a function of bounded variation, while the v component by an oscillatory function, with bounded H−1 norm. After some transformation, the resulting PDE is of fourth order. The proposed model continues the ideas and techniques previously introduced by the authors in [9]. Image decomposition and denoising numerical results will be shown by the proposed new fourth order nonlinear partial differential equation. 1. |
| File Format | |
| Language | English |
| Publisher Date | 2003-01-01 |
| Publisher Institution | and the H −1 norm,” in International Conference on Image Processing |
| Access Restriction | Open |
| Subject Keyword | Image Restoration Initial Image Special Friend Partial Differential Equation Bounded Variation Total Variation Minimization Fourth Order Image Decomposition New Model New Fourth Order Cartoon Part Numerical Result New Technique Co-author Andr Sol Oscillatory Function |
| Content Type | Text |
| Resource Type | Article |