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Adaptive multiscale reconstruction of buried objects

Alexandre Baussard et al 2004 Inverse Problems 20 S1-S15   doi: 10.1088/0266-5611/20/6/S01  Help

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Alexandre Baussard1,3, Eric L Miller2 and Dominique Lesselier1
1 Département de Recherche en Électromagnétisme, Laboratoire des Signaux et Systémes (CNRS/SUPELEC/UPS), 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France
2 Center for Subsurface Sensing and Imaging Systems, Northeastern University, 315 Stearns Hall, Boston, MA 02115-5000, USA
3 Present address: E3I2-ENSIETA, 2 rue François Verny, 29806 Brest, France.
E-mail: alexandre.baussard@ensieta.fr

Abstract. In this contribution, an adaptive multiscale approach for the localization and characterization of buried objects in a half-space is proposed. The main goal of the approach is to reduce the number of elements to be estimated and so the degrees of freedom in the unknown profile. This leads to improvement of the robustness of the inversion and to an increase in the quality of reconstruction. The proposed inversion scheme is based on an adaptive, coarse-to-fine iterative strategy using spline pyramids. The global procedure consists of sequences of non-linear inversions separated by refinement steps, which overall produces an accurate, low-order representation of the sought object.

Print publication: Issue 6 (December 2004)
Received 25 March 2004, in final form 20 September 2004
Published 8 November 2004

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