3D reconstruction of wave-propagated point sources from boundary measurements using joint sparsity and finite rate of innovation
Refereed conference paper presented and published in conference proceedings

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AbstractReconstruction of point sources from boundary measurements is a challenging problem in many applications. Recently, we proposed a new sensing and non-iterative reconstruction scheme for systems governed by the three-dimensional wave equation. The points sources are described by their magnitudes and positions. The core of the method relies on the principles of finite-rate-of-innovation, and allows retrieving the parameters in the continuous domain without discretization. Here we extend the method when the source configuration shows joint sparsity for different temporal frequencies; i.e., the sources have same positions for different frequencies, not necessarily the same magnitudes. We demonstrate that joint sparsity improves upon the robustness of the estimation results. In addition, we propose a modified multi-source version of Dijkstra's algorithm to recover the Z parameters. We illustrate the feasibility of our method to reconstruct multiple sources in a 3-D spherical geometry. © 2012 IEEE.
All Author(s) ListDogan Z., Jovanovic I., Blu T., Van De Ville D.
Name of Conference2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012
Start Date of Conference02/05/2012
End Date of Conference05/05/2012
Place of ConferenceBarcelona
Country/Region of ConferenceSpain
Detailed descriptionorganized by IEEE,
Pages1575 - 1578
LanguagesEnglish-United Kingdom
Keywordsfinite rate of innovation, joint sparsity, source localization, Wave equation

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