7 citations · 13 across the 5 of their papers we have counts for
5 papers
How locating sensors in thermo-acoustic tomography?
Maïtine Bergounioux, Elie Bretin, Yannick Privat
Thermo-acoustic tomography is a non-invasive medical imaging technique, constituting a precise and cheap alternative to X-imaging. The principle is to excite a body to reconstruct…
Fractional Sobolev Spaces and Functions of Bounded Variation
M. Bergounioux, A. Leaci, G. Nardi +1
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space of functions of bounded variation, whose de…
Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model
Laurence Guillot, Maïtine Bergounioux
This article deals with the so called GVF (Gradient Vector Flow) introduced by C. Xu, J.L. Prince . We give existence and uniqueness results for the front propagation flow for boun…
An active curve approach for tomographic reconstruction of binary radially symmetric objects
Isabelle Abraham, Romain Abraham, Maitine Bergounioux
This paper deals with a method of tomographic reconstruction of radially symmetric objects from a single radiograph, in order to study the behavior of shocked material. The usual t…
A regularization method for ill-posed bilevel optimization problems
Maïtine Bergounioux, Mounir Haddou
We present a regularization method to approach a solution of the pessimistic formulation of ill -posed bilevel problems . This allows to overcome the difficulty arising from the no…