arrow
返回

A weighted parameter identification PDE-constrained optimization for inverse image denoising problem

delete2021-05-27
delete18
PRE
AI
L
Lekbir Afraites *
A
Aissam Hadri
A
Amine Laghrib
M
Mourad Nachaoui *
DOI:10.1007/s00371-021-02162-xdelete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
This paper treats the inverse denoising problem which aims to compute simultaneously the clean image and the weighting parameter lambda. The formulated denoising problem is posed using a partial differential equation (PDE)-constrained optimization model. The minimized function imposes a Tikhonov regularization on the estimated lambda, while the proposed PDE encompasses two high-order diffusive tensors. The particularity of this PDE is that it does not over-smooth homogeneous regions and preserves sharp edges during the denoising process, even if its degree is high. A new optimization procedure to compute the weighting parameter is also elaborated inspired from the nonsmooth Primal-dual algorithm. This leads to control of the diffusivity rate generated by the two diffusive operators. Finally, expressive results show that the computed spatial parameter lambda leads to obtain a pleasant clean image. This is also confirmed by numerous comparisons with other competitive denoising approaches.
Keyword:
Image restoration
PDE-constrained
Parameter identification
Primal-dual
Tensor diffusion
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Visual Computer 封面图
Visual Computer
IF:
2.9
论文数:
4.6K
被引数:
6.5K

机构

N
nantes universite
学者数:
1.7W
论文数: 1.2W
被引数: 125
S
Sultan Moulay Slimane University of Beni Mellal
学者数:
1.9K
论文数: 1.3K
被引数: 2
引用论文

引用论文

err分享
err收藏
Astronomical image denoising using dictionary learning
err2013-08-08
err33
errOAAI
errBeckouche, S.; Starck, J. L.; Fadili, J.
err分享
err收藏
The European Code of Cancer Practice
err2021-06-01
err0
errOAAI
errMark Lawler; Kathy Oliver; Stefan Gijssels; Matti Aapro; Agnese Abolina; Tit Albreht; Sema Erdem; Jan Geissler; Jacek Jassem; Sakari Karjalainen; Carlo La Vecchia; Yolande Lievens; Françoise Meunier; Mike Morrissey; Peter Naredi; Simon Oberst; Philip Poortmans; Richard Price; Richard Sullivan; Galina Velikova; Eduard Vrdoljak; Nils Wilking; Wendy Yared; Peter Selby
err分享
err收藏
学者 查看更多内容