Operator Splittings, Bregman Methods and Frame Shrinkage in Image Processing

We examine the underlying structure of popular algorithms for variational methods used in image processing. We focus here on operator splittings and Bregman methods based on a unified approach via fixed point iterations and averaged operators. In particular, the recently proposed alternating split B...

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Bibliographic Details
Published in:	International journal of computer vision Vol. 92; no. 3; pp. 265 - 280
Main Author:	Setzer, Simon
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.05.2011 Springer Springer Nature B.V
Subjects:	Algorithms Applied sciences Artificial Intelligence Computer Imaging Computer Science Computer science; control theory; systems Equipment and supplies Exact sciences and technology Frames Hilbert space Image processing Image Processing and Computer Vision Image processing equipment industry Mathematical models Methods Operators Pattern Recognition Pattern Recognition and Graphics Pattern recognition. Digital image processing. Computational geometry Shrinkage Splitting Vision Wavelet transforms Forward-backward splitting Alternating split Bregman algorithm Augmented Lagrangian method Douglas-Rachford splitting Bregman methods Image denoising Lagrangian Image processing Total variation Image restoration Modeling Gradient descent Fix point Discretization Multistep method Operator splitting Variational calculus Lagrangian method
ISSN:	0920-5691, 1573-1405
Online Access:	Get full text
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