Allied Health Professions

Download Tomography and Inverse Transport Theory: International by Guillaume Bal, David Finch, Visit Amazon's Peter Kuchment PDF

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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 style: PAPERBACK
Library of Congress: 2011033070

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Read Online 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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Moreover, these two branches extend to provide non-local non-uniqueness results as we shall see. 1]). 6) indeed allow us to construct two different absorption coefficients σ that are non-negative, equal on the boundary ∂X, and such that the measurements H(x) = σu2 (x) agree on X. 2) does translate into a non-uniqueness result for the hybrid inverse problem. Let us first define σ = σ ≥ 0, λ ∈ Sp (−P )−1 σ . Sλ = σ ≥ 0, 1 ∈ Sp (−P )−1 λ NON-UNIQUENESS RESULT FOR A HYBRID INVERSE PROBLEM 33 5 We have seen that critical points of φ(u) = uP u corresponded to solutions σ := Pu u ∈ S1 .

Introduction Optical tomography consists of sending photons into tissues to probe their optical properties. Electrical impedance tomography consists of applying currents to probe their electrical properties. Both imaging techniques are very useful because of the large optical and electrical contrast displayed between healthy and nonhealthy tissues. However, these imaging techniques suffer from very low resolution capabilities because the operators mapping the properties of interest to the available measurements are extremely smoothing [1, 17].

Adv. , 8 (1998), pp. 1–20. [3] G. Bal, On the attenuated Radon transform with full and partial measurements, Inverse Problems, 20(2) (2004), pp. 399–419. [4] A. A. Bukhgeim and S. G. Kazantsev, Inversion formula for the Fan-beam attenuated Radon transform in a unit disk, Sobolev Instit. , Preprint N. 99 (2002). [5] E. T. Quinto and P. Kuchment, Some problems of integral geometry arising in tomography, Ch. XI in ”The Universality of the Radon Transform” by L. Ehrenpreis, Oxford Univ. Press, 2003.

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