| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1708746 | Applied Mathematics Letters | 2012 | 4 Pages |
Abstract
This letter announces and summarizes results obtained in Bal and Uhlmann (2011) [1] and considers several natural extensions. The aforementioned paper proposes a procedure for reconstructing coefficients in a second-order, scalar, elliptic equation from knowledge of a sufficiently large number of its solutions. We present this derivation and extend it to show which parameters may or may not be reconstructed for several hybrid (also called coupled-physics) imaging modalities including photo-acoustic tomography, thermo-acoustic tomography, transient elastography, and magnetic resonance elastography. Stability estimates are also proposed.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Guillaume Bal, Gunther Uhlmann,