2016
DOI: 10.1117/1.oe.55.1.013102
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Radiance and photon noise: imaging in geometrical optics, physical optics, quantum optics and radiology

Abstract: 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, physica… Show more

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Cited by 5 publications
(7 citation statements)
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“…Each detected particle can be characterized by an attribute vector ( r d , s , E ), where r d = ( x d , y d ) is the 2D position of the particle at the detector plane, s = ( s x , s y ) is the direction cosines representing the propagation direction, and E is the residual energy. A statistical ensemble of particles is described by a phase-space distribution function, which is referred to as the radiance in the imaging literature 1 , 2 . The radiance of the charged-particles at the entrance plane of the detector is related to the object through where is a propagation operator describing the interaction between the charged particles and tissue.…”
Section: Mathematical Model Of Cpetmentioning
confidence: 99%
See 1 more Smart Citation
“…Each detected particle can be characterized by an attribute vector ( r d , s , E ), where r d = ( x d , y d ) is the 2D position of the particle at the detector plane, s = ( s x , s y ) is the direction cosines representing the propagation direction, and E is the residual energy. A statistical ensemble of particles is described by a phase-space distribution function, which is referred to as the radiance in the imaging literature 1 , 2 . The radiance of the charged-particles at the entrance plane of the detector is related to the object through where is a propagation operator describing the interaction between the charged particles and tissue.…”
Section: Mathematical Model Of Cpetmentioning
confidence: 99%
“…The information is often carried by photons and charged particles. The physical processes involved in photon and particle transport include emission, absorption, scattering, propagation and detection 1 . Each process affects the performance of an imaging system in a complicated way, but these effects in combination can be characterized by null functions.…”
Section: Introductionmentioning
confidence: 99%
“…The most general form for the mean output g m (calculated by imaging the same object over and over again) is [8]: ; t is the spectral photon radiance at point R for photon energyE, time t and along direction s ! [8,9]. In Eq.…”
Section: Intensified Charge-coupled Detectorsmentioning
confidence: 99%
“…The full information from a photon-processing detector is retained if we simply store the N estimated attributes for each of J photons as the list b A , but an equivalent construction as a random point process in attribute space offers new theoretical insights. From b A , we introduce this point process as [3,9] u A ðÞ ¼…”
Section: Mathematical Descriptionmentioning
confidence: 99%
“…Inspired by research on list‐mode data and photon‐processing detectors, a new detector concept — particle‐processing detector (PPD) — is introduced. PPDs detect single particles, and for each detected particle, they measure a set of attributes, which may include the interaction position, the propagation direction, and the residual energy of the particle.…”
Section: Particle‐processing Detectorsmentioning
confidence: 99%