Maximum-Likelihood Methods for Processing Signals From Gamma-Ray Detectors

Barrett, Harrison H.; Hunter, William C.; Miller, Brian W.; Moore, Stephen; Chen, Yi‐Chun; Furenlid, Lars R.

doi:10.1109/tns.2009.2015308

Cited by 147 publications

(148 citation statements)

References 33 publications

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“…For an event at position r producing N photons the probability of the i-th PMT detecting n i photons is well approximated by the Poisson distribution [14]:…”

Section: Event Reconstruction Methodsmentioning

confidence: 99%

“…There are several methods for obtaining the LRFs described in the literature. The most straightforward of these is the direct measurement, by scanning the detector with a moving well-collimated γ-ray source [14,20]. Unfortunately, a combination of several factors made this method impractical for the ZEPLIN-III detector.…”

Section: Reconstruction Of Light Response Functionsmentioning

confidence: 99%

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Position reconstruction in a dual phase xenon scintillation detector

Solovov¹,

Belov²,

Akimov³

et al. 2011

2011 IEEE Nuclear Science Symposium Conference Record

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Abstract-We studied the application of statistical reconstruction algorithms, namely maximum likelihood and least squares methods, to the problem of event reconstruction in a dual phase liquid xenon detector. An iterative method was developed for in-situ reconstruction of the PMT light response functions from calibration data taken with an uncollimated γ-ray source. Using the techniques described, the performance of the ZEPLIN-III dark matter detector was studied for 122 keV γ-rays. For the inner part of the detector (R<100 mm), spatial resolutions of 13 mm and 1.6 mm FWHM were measured in the horizontal plane for primary and secondary scintillation, respectively. An energy resolution of 8.1% FWHM was achieved at that energy. The possibility of using this technique for improving performance and reducing cost of scintillation cameras for medical applications is currently under study.

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“…For an event at position r producing N photons the probability of the i-th PMT detecting n i photons is well approximated by the Poisson distribution [14]:…”

Section: Event Reconstruction Methodsmentioning

confidence: 99%

Section: Reconstruction Of Light Response Functionsmentioning

confidence: 99%

Position reconstruction in a dual phase xenon scintillation detector

Solovov¹,

Belov²,

Akimov³

et al. 2011

2011 IEEE Nuclear Science Symposium Conference Record

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“…For a review of ML estimation as applied to photon-processing detectors, see Barrett et al 16 To summarize what we know about how to implement optimum estimation of photon attributes, an ideal photon-processing detector must:…”

Section: Photon-processing Detectorsmentioning

confidence: 99%

Radiance and photon noise: imaging in geometrical optics, physical optics, quantum optics and radiology

2016

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A fundamental way of describing a photon-limited imaging system is in terms of a Poisson random process in spatial, angular and wavelength variables. The mean of this random process is the spectral radiance. The principle of conservation of radiance then allows a full characterization of the noise in the image (conditional on viewing a specified object). To elucidate these connections, we first review the definitions and basic properties of radiance as defined in terms of geometrical optics, radiology, physical optics and quantum optics. The propagation and conservation laws for radiance in each of these domains are reviewed. Then we distinguish four categories of imaging detectors that all respond in some way to the incident radiance, including the new category of photon-processing detectors. The relation between the radiance and the statistical properties of the detector output is discussed and related to task-based measures of image quality and the information content of a single detected photon.

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“…The Fano factor of the photoelectrons on the j th detector element (F nj ) is given by [26] ( 16) Here, α j is the fraction of emitted optical photons detected at the j th detector element. In the photon transport model described in Section III-B, α j is the product of the quantum and geometrical efficiencies of the j th detector element.…”

Section: A Assumptions For Maximizing the Impact Of The Fano Factormentioning

confidence: 99%

Impact of fano factor on position and energy estimation in scintillation detectors

et al. 2013

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The Fano factor for an integer-valued random variable is defined as the ratio of its variance to its mean. Light from various scintillation crystals have been reported to have Fano factors from subPoisson (Fano factor < 1) to super-Poisson (Fano factor > 1). For a given mean, a smaller Fano factor implies a smaller variance and thus less noise. We investigated if lower noise in the scintillation light will result in better spatial and energy resolutions. The impact of Fano factor on the estimation of position of interaction and energy deposited in simple gamma-camera geometries is estimated by two methods -calculating the Cramér-Rao bound and estimating the variance of a maximum likelihood estimator. The methods are consistent with each other and indicate that when estimating the position of interaction and energy deposited by a gamma-ray photon, the Fano factor of a scintillator does not affect the spatial resolution. A smaller Fano factor results in a better energy resolution.

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Maximum-Likelihood Methods for Processing Signals From Gamma-Ray Detectors

Cited by 147 publications

References 33 publications

Position reconstruction in a dual phase xenon scintillation detector

Position reconstruction in a dual phase xenon scintillation detector

Radiance and photon noise: imaging in geometrical optics, physical optics, quantum optics and radiology

Impact of fano factor on position and energy estimation in scintillation detectors

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