3D Reconstruction Of Wave-Propagated Point Sources From Boundary Measurements Using Joint Sparsity And Finite Rate Of Innovation

Reconstruction 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.


Published in:
Proceedings of the 9th Ieee International Symposium on Biomedical Imaging (ISBI), 1575-1578
Presented at:
9th IEEE International Symposium on Biomedical Imaging (ISBI) - From Nano to Macro', u'9th IEEE International Symposium on Biomedical Imaging (ISBI) - From Nano to Macro
Year:
2012
Publisher:
New York, IEEE Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa
ISBN:
978-1-4577-1858-8
Keywords:
Laboratories:




 Record created 2013-03-28, last modified 2018-03-17

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