Domain Decomposition for Non-smooth (in Particular TV) Minimization
Langer, Andreas LU
(2021)
- Abstract
- Domain decomposition is one of the most efficient techniques to derive efficient methods for large-scale problems. In this chapter such decomposition methods for the minimization of the total variation are discussed. We differ between approaches which directly tackle the (primal) total variation minimization and approaches which deal with their predual formulation. Thereby we mainly concentrate on the presentation of domain decomposition methods which guarantee to converge to a solution of the global problem.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/c060a5bc-bae2-4ce8-b6b3-5e890abd63c8
- author
- Langer, Andreas
LU
- organization
- publishing date
- 2021
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
- editor
- Chen, Ke ; Schönlieb, Carola-Bibiane ; Tai, Xue-Cheng and Younces, Laurent
- publisher
- Springer
- external identifiers
-
- scopus:85161823798
- ISBN
- 978-3-030-03009-4
- DOI
- 10.1007/978-3-030-03009-4_104-1
- language
- English
- LU publication?
- yes
- id
- c060a5bc-bae2-4ce8-b6b3-5e890abd63c8
- date added to LUP
- 2022-09-07 15:28:46
- date last changed
- 2025-04-04 14:12:15
@inbook{c060a5bc-bae2-4ce8-b6b3-5e890abd63c8,
abstract = {{Domain decomposition is one of the most efficient techniques to derive efficient methods for large-scale problems. In this chapter such decomposition methods for the minimization of the total variation are discussed. We differ between approaches which directly tackle the (primal) total variation minimization and approaches which deal with their predual formulation. Thereby we mainly concentrate on the presentation of domain decomposition methods which guarantee to converge to a solution of the global problem.}},
author = {{Langer, Andreas}},
booktitle = {{Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging}},
editor = {{Chen, Ke and Schönlieb, Carola-Bibiane and Tai, Xue-Cheng and Younces, Laurent}},
isbn = {{978-3-030-03009-4}},
language = {{eng}},
publisher = {{Springer}},
title = {{Domain Decomposition for Non-smooth (in Particular TV) Minimization}},
url = {{http://dx.doi.org/10.1007/978-3-030-03009-4_104-1}},
doi = {{10.1007/978-3-030-03009-4_104-1}},
year = {{2021}},
}