New inverse method for simultaneous reconstruction of object buried beneath rough ground and the ground surface structure using SAMM forward model

Reza Firoozabadi; Eric L. Miller; Carey M. Rappaport; Ann W. Morgenthaler

doi:10.1117/12.587935

11 March 2005 New inverse method for simultaneous reconstruction of object buried beneath rough ground and the ground surface structure using SAMM forward model

Reza Firoozabadi, Eric L. Miller, Carey M. Rappaport, Ann W. Morgenthaler

Author Affiliations +

Proceedings Volume 5674, Computational Imaging III; (2005) https://doi.org/10.1117/12.587935
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

A new inverse scattering method is presented to estimate both the boundaries of the rough interface separating air and ground and the object buried beneath this rough interface. This method is based on a state-of-the-art forward solver. Simultaneous reconstruction of surface and object boundaries is posed as a linear least squares optimization problem for a parametric representation of the shape of the object as well as the boundary of the interface with a cost function defined by the misfit of modeled to measured data. We make use of a newly-developed forward model, the Semi-Analytic Mode-Matching method (SAMM) within the context of the inversion procedure where a moderately low-order superposition of cylindrical modes (in 2-D configuration) satisfying the Helmholtz wave equation are used to represent the scattered fields for the object under the rough surface. The proposed inverse method is a combined analytical-numerical algorithm to decrease the cost function by optimizing the boundary control parameters in an iterative procedure. The shape of the object as well as the interface is defined in low-dimensional parametric forms. The object boundary is modeled by a B-spline curve which is parameterized by a collection of “control points”. Accuracy and reliability of this method is verified by numerical experiments.

Citation Download Citation

Reza Firoozabadi, Eric L. Miller, Carey M. Rappaport, and Ann W. Morgenthaler "New inverse method for simultaneous reconstruction of object buried beneath rough ground and the ground surface structure using SAMM forward model", Proc. SPIE 5674, Computational Imaging III, (11 March 2005); https://doi.org/10.1117/12.587935

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