Topological gradient for a fourth order operator used in image analysis
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