Name
Abstract | ||
|---|---|---|
We propose a convergent iterative regularization procedure based on the square of a dual norm for image restoration with general (quadratic or non-quadratic) convex fidelity terms. Convergent iterative regularization methods have been employed for image deblurring or denoising in the presence of Gaussian noise, which use L2 [1] and L1 [2] fidelity terms. Iusem-Resmerita [3] proposed a proximal point method using inexact Bregman distance for minimizing a general convex function defined on a general non-reflexive Banach space which is the dual of a separable Banach space. Based on this, we investigate several approaches for image restoration (denoising-deblurring) with different types of noise. We test the behavior of proposed algorithms on synthetic and real images. We compare the results with other state-of-the-art iterative procedures as well as the corresponding existing one-step gradient descent implementations. The numerical experiments indicate that the iterative procedure yields high quality reconstructions and superior results to those obtained by one-step gradient descent and similar with other iterative methods. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-15549-9_14 | ECCV |
Keywords | Field | DocType |
iterative procedure yield,convergent iterative regularization method,real image,general non-reflexive banach space,state-of-the-art iterative procedure,image restoration,general convex fidelity term,image deblurring,general convex,convergent iterative regularization procedure,iterative method,gradient descent,bounded variation,gaussian noise,banach space,iteration method,bregman distance | Computer science,Artificial intelligence,Proximal gradient methods for learning,Image restoration,Computer vision,Mathematical optimization,Gradient descent,Deblurring,Iterative method,Algorithm,Convex function,Bregman divergence,Real image | Conference |
Volume | ISSN | ISBN |
6311 | 0302-9743 | 3-642-15548-0 |
Citations | PageRank | References |
1 | 0.35 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miyoun Jung | 1 | 125 | 10.72 |
| Elena Resmerita | 2 | 29 | 2.59 |
| Luminita A. Vese | 3 | 5389 | 302.64 |