Convexification inversion method for nonlinear SAR imaging with experimentally collected data

03/17/2021
by   M. V. Klibanov, et al.
0

This paper is concerned with the study of a version of the globally convergent convexification method with direct application to synthetic aperture radar (SAR) imaging. Results of numerical testing are presented for experimentally collected data for a fake landmine. The SAR imaging technique is a common tool used to create maps of parts of the surface of the Earth or other planets. Recently, it has been applied in the context of non-invasive inspections of buildings in military and civilian services. Nowadays, any SAR imaging software is based on the Born approximation, which is a linearization of the original wave-like partial differential equation. One of the essential assumptions this linearization procedure needs is that only those dielectric constants are imaged whose values are close to the constant background. In this work, we propose a radically new idea: to work without any linearization while still using the same data as the conventional SAR imaging technique uses. We construct a 2D image of the dielectric constant function using a number of 1D images of this function obtained via solving a 1D coefficient inverse problem (CIP) for a hyperbolic equation. Different from our previous studies on the convexification method with concentration on the global convergence of the gradient projection method, this time we prove the global convergence of the gradient descent method, which is easier to implement numerically.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 18

page 24

08/28/2020

Through-the-Wall Nonlinear SAR Imaging

An inverse scattering problem for SAR data in application to through-the...
10/27/2013

Compressed Sensing SAR Imaging with Multilook Processing

Multilook processing is a widely used speckle reduction approach in synt...
10/22/2019

Fourier Analysis, Computing, and Image Formation for Spotlight Synthetic Aperture Radar

This article is written to serve as an introduction and survey of imagin...
09/23/2021

Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data

It is shown that the contraction mapping principle with the involvement ...
01/08/2014

Application of the Modified Fractal Signature Method for Terrain Classification from Synthetic Aperture Radar Images

In this paper the Modified Fractal Signature method is applied to real S...
09/07/2020

SARGDV: Efficient identification of groundwater-dependent vegetation using synthetic aperture radar

Groundwater depletion impacts the sustainability of numerous groundwater...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.