Using the single-scattering approximation we invert for the material parameters of an
acoustic two-parameter medium and then for a three-parameter isotropic elastic medium …

The nonlinear inverse problem for seismic reflection data is solved in the acoustic
approximation. The method is based on the generalized least-squares criterion, and it can …

The present Special Issue on Inverse Problems consists of five invited papers, which
basically refer to the solution of nonlinear inverse wave scattering problems. So far, the …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

The inverse problem the authors consider is to determine the shape of a sound-soft two-
dimensional time-harmonic acoustic scatterer from the knowledge of the scattered far-field …

The problem of interpretation of seismic reflection data can be posed with sufficient
generality using the concepts of inverse theory. In its roughest formulation, the inverse …

We survey some of the highlights of inverse scattering theory as it has developed over the
last 15 years, with emphasis on uniqueness theorems and reconstruction algorithms for time …

An approximate solution is presented to the seismic inverse problem for two-dimensional (2-
D) velocity variations. The solution is given as a multiple integral over the reflection data …

Linearized inversion provides one possible sense of image amplitude correctness. An
image or bandlimited model perturbation has correct amplitudes if it is an approximate …

This paper presents a systematic approach to the description of spatial resolution of seismic
experiments and migration (or inversion) algorithms. We give a brief description of the …