Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images-Reference-Cited by-同舟云学术

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Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images

Published:2014-07 Issue:7-8 Volume:352 Page:609-613
ISSN:1631-073X
Container-title:Comptes Rendus Mathematique
language:en
Short-container-title:Comptes Rendus Mathematique

Author:

Aubert Gilles,Drogoul Audric

Publisher

Elsevier BV

Subject

General Mathematics

Reference10 articles.

1. Topological asymptotic analysis of the Kirchhoff plate bending problem;Amstutz;ESAIM Control Optim. Calc. Var.,2011

2. Crack detection by the topological gradient method;Amstutz;Control Cybern.,2005

3. Image restoration and classification by topological asymptotic expansion;Auroux,2007

4. The Mathematical Theory of Finite Element Methods;Brenner,2002

5. Vesselness enhancement diffusion;Cañero Morales;Pattern Recognit. Lett.,2003

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Towards flaw detection in welding joints via multi-frequency topological derivative methods;Computers & Mathematics with Applications;2024-05

2. Non-Invasive Testing of Physical Systems Using Topological Sensitivity;Applied Sciences;2021-02-02

3. The topological gradient method for semi-linear problems and application to edge detection and noise removal;Inverse Problems and Imaging;2016-02

4. Topological gradient for a fourth order operator used in image analysis;ESAIM: Control, Optimisation and Calculus of Variations;2015-06-30

5. Numerical Analysis of the Topological Gradient Method for Fourth Order Models and Applications to the Detection of Fine Structures in Imaging;SIAM Journal on Imaging Sciences;2014-01

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