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Proceedings Paper

Analytic sensing: direct recovery of point sources from planar Cauchy boundary measurements
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Paper Abstract

Inverse problems play an important role in engineering. A problem that often occurs in electromagnetics (e.g. EEG) is the estimation of the locations and strengths of point sources from boundary data. We propose a new technique, for which we coin the term "analytic sensing". First, generalized measures are obtained by applying Green's theorem to selected functions that are analytic in a given domain and at the same time localized to "sense" the sources. Second, we use the finite-rate-of-innovation framework to determine the locations of the sources. Hence, we construct a polynomial whose roots are the sources' locations. Finally, the strengths of the sources are found by solving a linear system of equations. Preliminary results, using synthetic data, demonstrate the feasibility of the proposed method.

Paper Details

Date Published: 20 September 2007
PDF: 6 pages
Proc. SPIE 6701, Wavelets XII, 67011Y (20 September 2007); doi: 10.1117/12.733823
Show Author Affiliations
D. Kandaswamy, École Polytechnique Fédérale de Lausanne (Switzerland)
T. Blu, École Polytechnique Fédérale de Lausanne (Switzerland)
D. Van De Ville, École Polytechnique Fédérale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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