By Guillaume Bal, David Finch, Visit Amazon's Peter Kuchment Page, search results, Learn about Author Central, Peter Kuchment, , John Schotland, Plamen Stefanov
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Title: Tomography and Inverse shipping Theory
Author: Bal, Guillaume (EDT)/ Finch, David (EDT)/ Kuchment, Peter (EDT)/ Schotland, John (EDT)/ Stefanov, P
Publisher: Amer Mathematical Society
Publication Date: 2012/01/01
Number of Pages: 180
Binding variety: PAPERBACK
Library of Congress: 2011033070
Read or Download Tomography and Inverse Transport Theory: International Workshop on Mathematical Methods in Emerging Modalities of Medical Imaging October 25-30, 2009, ... Workshop o PDF
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Additional resources for Tomography and Inverse Transport Theory: International Workshop on Mathematical Methods in Emerging Modalities of Medical Imaging October 25-30, 2009, ... Workshop o
De Gournay, and O. Kavian. Imaging by modiﬁcation: numerical reconstruction of local conductivities from corresponding power density measurements. SIAM J. Imaging Sciences, 2:1003–1030, 2009.  D. Gilbarg and N. S. Trudinger. Elliptic Partial Diﬀerential Equations of Second Order. Springer-Verlag, Berlin, 1977.  P. Kuchment and L. Kunyansky. 2D and 3D reconstructions in acousto-electric tomography. submitted.  K. Lin and J. McLaughlin. An error estimate on the direct inversion model in shear stiﬀness imaging.
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We show in Fig. 3 the results of the reconstruction in the disc X deﬁned above. 95 is the lowest eigenvalue of (−Δ)−1 σ. 36 8 GUILLAUME BAL AND KUI REN Figure 2. Same as Fig. 1 but in the two-dimensional case. Figure 3. From left to right: original absorption coeﬃcient σ, reconstructed σδ and reconstructed σ−δ . The non-uniqueness results that we have seen above are all constructed when only one set of interior data is available. It turns out that with two sets of interior data, we can uniquely reconstruct two coeﬃcients as presented in Section 4.