Journal ArticleDOI
Inversion formulas for the k-dimensional Radon transform in real hyperbolic spaces
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This article is published in Duke Mathematical Journal.The article was published on 1991-04-01. It has received 50 citations till now. The article focuses on the topics: Radon transform & Inversion (discrete mathematics).read more
Citations
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Journal ArticleDOI
Electrical Impedance Tomography
TL;DR: A survey of the work in electrical impedance tomography can be found in this article, where the authors survey some of the most important works in the field. Butt.t.
Book
Geometric Analysis on Symmetric Spaces
TL;DR: A duality in integral geometry A duality for symmetric spaces The fourier transform on a symmetric space The Radon transform on $ X$ and on $X_o$ Range questions Differential equations on symmetric Spaces Eigenspace representations Solutions to exercises Bibliography Symbols frequently used Index as discussed by the authors
Journal ArticleDOI
Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography
TL;DR: Reconstructions from experimental data collected on a saline filled tank containing agar heart and lung phantoms are presented, and the results are compared to reconstructions by the NOSER algorithm on the same data.
Journal ArticleDOI
Magnetic Resonance Electrical Impedance Tomography (MREIT)
Jin Keun Seo,Eung Je Woo +1 more
TL;DR: MREIT is reviewed from its mathematical framework to the most recent human experiment outcomes and its numerical simulations showed that high-resolution conductivity image reconstructions are possible.
Journal ArticleDOI
Electrical impedance tomography
TL;DR: This article focuses on the type of EIT called adaptive current tomography (ACT) in which currents are applied simultaneously to all the electrodes, where a number of current patterns are applied, where each pattern defines the current for each electrode, and the subsequent electrode voltages are measured to generate the data required for image reconstruction.
References
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Book
The Mathematics of Computerized Tomography
TL;DR: In this paper, the Radon transform and related transforms have been studied for stability, sampling, resolution, and accuracy, and quite a bit of attention is given to the derivation, analysis, and practical examination of reconstruction algorithm, for both standard problems and problems with incomplete data.
PatentDOI
Applied potential tomography
TL;DR: In this paper, the surface contact electrodes are located in a closed loop or rosette array on one planar or nominally planar, skin surface of a body to be investigated, and electrically connected to data acquisition and processing equipment.
Journal ArticleDOI
The inversion problem and applications of the generalized radon transform
TL;DR: In this article, the generalized Radon transform was applied to partial differential equations with variable coefficients and a solution to the inversion problem for the attenuated and exponential Radon transforms was provided.