Gamma-radiation imaging system based on the Compton effect

Everett, Dean; Fleming, John; Todd, Richard Watson; Nightingale, J.M.

doi:10.1049/piee.1977.0203

Cited by 93 publications

(65 citation statements)

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“…In this paper, we focus mainly on analytic and numerical inversion of an integral transform (cone or Compton transform) that maps a function to its integrals over conical surfaces with a weight equal to some power of the distance from the cone's vertex. It arises in various imaging techniques, most prominently, in modeling of the data provided by the so-called Compton camera, which has novel applications in various fields including medical and industrial imaging, homeland security, and gamma ray astronomy [1,2,5,7,29,35]. In Compton camera setting, the vertices of the cones correspond to the locations of the detection sites on the scattering detector.…”

Section: Introductionmentioning

confidence: 99%

Inversion of weighted divergent beam and cone transforms

Kuchment¹,

Terzioglu²

2017

Inverse Problems &Amp; Imaging

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In this paper, we investigate the relations between the Radon and weighted divergent beam and cone transforms. Novel inversion formulas are derived for the latter two. The weighted cone transform arises, for instance, in image reconstruction from the data obtained by Compton cameras, which have promising applications in various fields, including biomedical and homeland security imaging and gamma ray astronomy. The inversion formulas are applicable for a wide variety of detector geometries in any dimension. The results of numerical implementation of some of the formulas in dimensions two and three are also provided.1991 Mathematics Subject Classification. 44A12, 53C65, 92C55.

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Section: Introductionmentioning

confidence: 99%

Inversion of weighted divergent beam and cone transforms

Kuchment¹,

Terzioglu²

2017

Inverse Problems &Amp; Imaging

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“…These images were still plagued with attenuation issues and were reported to be "taken up and retained" within minutes of intravenous injections. Despite the report by DuPont (Crane 1993) and multiple other research and clinical (Everett 1977, Fleming 1992b, 2003e, Aodah 2007, Fallahi 2008) studies discussed above and below, which have clearly established that these isotopes redistribute and do not "stick", most clinicians have continued to ignore Blumgart's teaching of performing sequential evaluations under same state conditions and have subsequently limited their investigation of coronary artery disease to single post-stress imaging despite the teaching of nuclear imaging which notes that "a better indicator of organ function is the change in the activity in a particular organ with time." Newer clinical observations and publications (Sheikine 2010) have since been made confirming our earlier observations from 2000-2001. Inconsistencies in analysis of cardiac imaging have led some researchers (Fleming 2002b, Toriyama 2005, Oregon 2008) to recommend that these clinical studies be standardized quantitatively; something this study has accomplished.…”

Section: Discussionmentioning

confidence: 94%

Fleming-Harrington Redistribution Wash-in Washout (FHRWW): The Platinum Standard for Nuclear Cardiology

Fleming¹,

Harrington²

2011

Establishing Better Standards of Care in Doppler Echocardiography, Computed Tomography and Nuclear Cardiology

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“…where m is the mass of the electron, c is the speed of light, E is the initial γ-ray energy, and ΔE is the energy transferred to the electron in the scattering process [1,7,19]. When f (x, y, z) is the distribution of the radioactive source, the intensity of the photon measured by the detector is given by…”

Section: Introductionmentioning

confidence: 99%

Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors

Jung¹,

Moon²

2016

SIAM J. Imaging Sci.

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Abstract.A Compton camera has been suggested for use in single photon emission computed tomography because a conventional gamma camera has low efficiency. Here we consider a cone transform brought about by a Compton camera with line detectors. A cone transform takes a given function on the 3-dimensional space and assigns to it the surface integral of the function over cones determined by the 1-dimensional vertex space, the 1-dimensional central axis, and the 1-dimensional opening angle. We generalize this cone transform to n-dimensional space and provide an inversion formula. Also, numerical simulations are presented to demonstrate our suggested algorithm in three dimensions.Key words. Compton camera, SPECT, tomography, cone transform, inversion, gamma camera AMS subject classifications. 44A12, 65R10, 92C55DOI. 10.1137/15M10336171. Introduction. A Radon-type transform that assigns to a given function its surface integral over various sets of cones has been studied, since it is known that this kind of a transform relates to a Compton camera. A Compton camera, also called an electronically collimated γ-camera, was introduced for use in single photon emission computed tomography (SPECT) because of the low efficiency of a conventional γ-camera [26,32]. A Compton camera has very high sensitivity and flexibility of geometrical design, so it has attracted a lot of interest and applications in many areas including monitoring nuclear power plants and astronomy [1,3].A standard Compton camera consists of two planar detectors: a scatter detector and an absorption detector, positioned one behind the other. A photon emitted from a radioactive source toward the camera undergoes Compton scattering in the scatter detector, and is absorbed in the absorption detector positioned behind (see Figure 1). In each detector, the position of the hit and the energy of the photon are measured. The scattering angle or the

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Gamma-radiation imaging system based on the Compton effect

Cited by 93 publications

References 1 publication

Inversion of weighted divergent beam and cone transforms

Inversion of weighted divergent beam and cone transforms

Fleming-Harrington Redistribution Wash-in Washout (FHRWW): The Platinum Standard for Nuclear Cardiology

Exact Inversion of the Cone Transform Arising in an Application of a Compton Camera Consisting of Line Detectors

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