Preconditioning technique in land mine imaging

Yuriy A. Gryazin; Thomas R. Lucas

doi:10.1117/12.479083

13 August 2002 Preconditioning technique in land mine imaging

Yuriy A. Gryazin, Thomas R. Lucas

Proceedings Volume 4742, Detection and Remediation Technologies for Mines and Minelike Targets VII; (2002) https://doi.org/10.1117/12.479083
Event: AeroSense 2002, 2002, Orlando, FL, United States

Abstract

Two novel solution methods for the inverse problem for the 2D Helmholtz equation are developed, tested and compared. The proposed approaches are based on a marching finite-difference scheme which requires the solution of an overdetermined system at each step. The preconditioned conjugate gradient method is used for rapid solution of these systems and an efficient preconditioner has been developed for this class of problems. The underlying target application is the imaging of land mines, which is formulated as an inverse problem for a 2D Helmholtz equation. The images represent the electromagnetic properties of the respective underground regions. Numerical results are presented.

Citation Download Citation

Yuriy A. Gryazin and Thomas R. Lucas "Preconditioning technique in land mine imaging", Proc. SPIE 4742, Detection and Remediation Technologies for Mines and Minelike Targets VII, (13 August 2002); https://doi.org/10.1117/12.479083

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