| Issue |
ESAIM: COCV
Volume 21, Number 4, October-December 2015
|
|
|---|---|---|
| Page(s) | 1120 - 1149 | |
| DOI | https://doi.org/10.1051/cocv/2014061 | |
| Published online | 30 June 2015 | |
Topological gradient for a fourth order operator used in image analysis
UniversitéNice Sophia Antipolis, CNRS, LJAD, UMR
7351, 06100
Nice,
France
gaubert@unice.fr; drogoula@unice.fr
Received:
9
December
2013
Revised:
24
November
2014
This paper is concerned with the computation of the topological gradient associated to a fourth order Kirchhoff type partial differential equation and to a second order cost function. This computation is motivated by fine structure detection in image analysis. The study of the topological sensitivity is performed both in the cases of a circular inclusion and a crack.
Mathematics Subject Classification: 35J30 / 49Q10 / 49Q12 / 94A08 / 94A13
Key words: Topological gradient / fourth order PDE / fine structures / 2D imaging
© EDP Sciences, SMAI, 2015
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