This study contains elementary introductions to properties of the Radon transform plus coverage of more advanced topics.
Barrett, H. H., Stoner, W. W., Wilson, D. T., and DeMeester, G. D. (1974). Coded apertures derived from the Fresnel zoneplate. Opt. Eng. 13(6): 539–549. Beekman, F. J., Kamphuis, C., Hutton, B. F., and van Rijk, P. P. (1998).
The microanalytical technique of atom probe tomography (APT) permits the spatial coordinates and elemental identities of the individual atoms within a small volume to be determined with near atomic resolution.
V.P. Palamodov, Gabor analysis of the continuum model for impedance tomography. Arkiv för Matematik 40(1), 169–187 (2002) R. Chandrasekhar, Radiation Transfer (Clarendon, Oxford, 1950) A. Ishimaru, Single Scattering and Transport Theory ...
Since the introduction of computed tomography, analytic reconstruction algorithms have been the mainstay for methods used to produce images from the measured projection data. While the original EMI scanner used an iterative algorithm ...
As recounted in Chapter 2, Atom Probe Tomography (APT) evolved from a nanometer-scale, one-dimensional composition profilometer in the 1960s to today's state-of-the-art LEAP microscope, which can produce three-dimensional images of ...
All the papers deal, in one way or another, with the determination of properties of functions by integral theoretic or measure theoretic methods, or by determining the geometric ...
Analytic reconstruction algorithms were developed to overcome the limitations of back-projection and iterative algorithms and are used in modern CT scanners. Two analytic reconstruction algorithms are the Fourier reconstruction ...
Future work should focus on developing simpler analytic relationships to facilitate such understanding. Until then, it remains to be seen whether or not analytic modeling of photon-counting systems will see as widespread use as cascaded ...
David Finch [13], Ih-Ren Lan [30], and Alexander Katsevich [27] have taken the results in [15, 35 on three-dimensional X-ray CT farther by using microlocal analysis to analyze the specific artifacts that from backprojection inversion ...
Generally, analytic algorithms use the projection data only once, whereas iterative algorithms use the data several or even many times ... Compared to analytic algorithms, iterative algorithms are generally advantageous for low-dose CT.