. Limited View Resolving Power of Conductivity Imaging from Boundary Measurements

In this paper we consider resolution estimates for a linearized inverse conductivity problem with limited-view data. Our purpose is to precisely describe the effect of the limited-view aspect on the resolving power of the measurements in the presence of measurement noise. We first show that, in the shallow probing regime, where the inclusion is close to the boundary of the background medium, we can resolve for any signal-to-noise ratio a sufficiently shallow perimeter perturbation of a conductivity inclusion on the overlap of the source and receiver apertures. Then we provide explicit formulas for the modes that can be resolved and the resolution measure for a given signal-tonoise ratio in the deep probing regime, where the radius of the inclusion is small.