Multi-frequency quantitative imaging of high contrat objects : canonical approximation

Loïc Le Marrec (1) , C. Tsogka , T. Scotti , Philippe Lasaygues (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

We consider the inverse scattering problem for three dimensional cylindrical objects which are infinite in the axial direction. Our aim being to achieve quantitative ultrasound imaging of bones, we focus at first on the simplified problem of reconstructing one section of the cylinder perpendicular to its axis. Several difficulties inherent to the bone structure and its environment (flesh) have to be dealt with, in order to solve the problem in vivo. Moreover, as in many imaging applications the problem is non-linear and the solution is not unique [l]. We focus in this paper on the quantitative reconstruction of the mechanical parameters (velocity, density) of a cylindrical object by approximating its geometry by a canonical circular cylinder according to the ICBA method (Intercepting Canonical Body Approximation) [2].We show that using the whole frequency range of the diffracted signal increases the accuracy and the robustness of the object's mechanical parameters reconstruction.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Loïc Le Marrec, C. Tsogka, T. Scotti, Philippe Lasaygues. Multi-frequency quantitative imaging of high contrat objects : canonical approximation. Acoustical Imaging conference, 2004, Saarbrücken, Germany. ⟨10.1007/978-1-4020-2402-3_86⟩. ⟨hal-00088491⟩