Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data

Image processing for limited aperture inverse acoustic obstacle scattering

Numerical Solution of Limited-data Inverse Problems Arising from X-ray Tomography and Acoustic Inverse Scattering

Project selection with limited resources in data envelopment‎ ‎analysis‎

‎In this paper allocating a fixed resource for producing ‎finite projects in order to obtaining a desired level of‎ ‎efficiency will be discussed‎. ‎Note that it is assumed that a ‎vector of limited sources is at hand‎. ‎This vector of resources can‎ ‎be contained human resource‎, ‎budget‎, ‎equipment‎, ‎and facilities‎. ‎In ‎any firm there exist different suggestions from subunits for ‎running...

Uniqueness of the Solution to Inverse Scattering Problem with Backscattering Data

Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(−β, β, k) ∀β ∈ S, ∀k > 0, determine q uniquely. MSC: 35P25, 35R30, 81Q05;

Inverse obstacle problems with backscattering or generalized backscattering data in one or two directions

This paper is concerned with scattering by a smooth compact obstacle in R. The main results are that for certain classes of obstacles knowledge of the the scattering amplitude in only one or two pairs of incident and reflected directions suffices to recover the Taylor series of a boundary defining function for the obstacle at a point. Thus certain obstacles with real analytic boundaries can be ...