Title :
An analysis of a tikhonov regularized gauss-newton reconstruction approach to GPR tomography
Author :
Naik, N. ; Sahli, H. ; Eriksson, J.
Author_Institution :
ETRO-Department, IRIS-Research Group, Vrije Universiteit Brussel, Brussel, BELGIUM
Abstract :
The present work is about the application of a Tikhonov regularized Gauss-Newton scheme to the solution of the nonlinear minimum norm reconstruction problem of GPR tomography, with the aims of (a) setting of a regularization parameter sequence to achieve convergence, (b) evaluation of an iteration matrix at a given nominal parameter estimate, and (c) study the effects of curvatures in parameter and objective-function spaces on the convergence.
Keywords :
Frequency measurement; Ground penetrating radar; Image reconstruction; Least squares methods; Light scattering; Magnetic field measurement; Newton method; Recursive estimation; Scattering parameters; Tomography; GPR Tomography; Gauss-Newton method; almost rank deficient problems; nonlinear inverse problems;
Conference_Titel :
Ground Penetrating Radar, 2004. GPR 2004. Proceedings of the Tenth International Conference on
Conference_Location :
Delft, The Netherlands
Print_ISBN :
90-9017959-3
