Minimum-phase-based inverse scattering method applied to IPS008

Michael A. Fiddy; Markus E. Testorf; Umer Shahid

doi:10.1117/12.561816

22 October 2004 Minimum-phase-based inverse scattering method applied to IPS008

Michael A. Fiddy, Markus E. Testorf, Umer Shahid

Proceedings Volume 5562, Image Reconstruction from Incomplete Data III; (2004) https://doi.org/10.1117/12.561816
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

We discuss an approach to solving the inverse scattering problem using homomorphic filtering and the difficulties that have been experienced in the past in trying to implement it in practice. Solving this problem has important consequences for a number of imaging and remote sensing problems as well as structure-synthesis problems. We show that the problem reduces to one of needing to preprocess the measured data in order that the nonlinear filtering succeeds and gives meaningful recontstructions. We discuss the steps taht have to be taken to achieve this and show that a sufficient condition to obtain a solution is that the data-derived function to be filtered is made close to a minimum phase function. This minimum-phase property is well understood in one dimensional problems but less so in two or higher dimensions. Another significant practical issue is that for inverse scattering problems, in contrast to inverse synthesis problems, only limited noisy data are available from which to compute the structure. These factors are discussed and we note that solving the inverse scattering problem immediately provides a solution to the inverse synthesis problem.

Citation Download Citation

Michael A. Fiddy, Markus E. Testorf, and Umer Shahid "Minimum-phase-based inverse scattering method applied to IPS008", Proc. SPIE 5562, Image Reconstruction from Incomplete Data III, (22 October 2004); https://doi.org/10.1117/12.561816

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available