ITEM—QM solutions for EM problems in image reconstruction exemplary for the Compton Camera

Pauli, J.; Pauli, E.-M.; Anton, G.

doi:10.1016/s0168-9002(02)00440-0

Cited by 7 publications

(4 citation statements)

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“…There are numerous approximate reconstruction methods, most of them using some back projection techniques (or numerical algorithms) and search for point sources as intersections of cone sheets reconstructed from coincidence measurements on the Compton camera. Lastly let us also cite some other original approaches based on statistical physics [ 36 ] as well as algebraic methods [ 37 – 39 ].…”

Section: The 𝒞 2 -Conical Radon Tranmentioning

confidence: 99%

The Mathematical Foundations of 3D Compton Scatter Emission Imaging

Truong

Nguyen

Zaidi³

2007

International Journal of Biomedical Imaging

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The mathematical principles of tomographic imaging using detected (unscattered) X- or gamma-rays are based on the two-dimensional Radon transform and many of its variants. In this paper, we show that two new generalizations, called conical Radon transforms, are related to three-dimensional imaging processes based on detected Compton scattered radiation. The first class of conical Radon transform has been introduced recently to support imaging principles of collimated detector systems. The second class is new and is closely related to the Compton camera imaging principles and invertible under special conditions. As they are poised to play a major role in future designs of biomedical imaging systems, we present an account of their most important properties which may be relevant for active researchers in the field.

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Section: The 𝒞 2 -Conical Radon Tranmentioning

confidence: 99%

The Mathematical Foundations of 3D Compton Scatter Emission Imaging

Truong

Nguyen

Zaidi³

2007

International Journal of Biomedical Imaging

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“…The energy measured in the scatter detector and the positions of the events measured in both detectors are used for the reconstruction of the point-like source. For the image reconstruction a new implemented algorithm [10] which is based on imaginary time expectation maximization (ITEM) algorithm [11] is used. The reconstruction is performed into two steps:…”

Section: Coincidence Measurementsmentioning

confidence: 99%

Compton camera coincidences in the silicon drift detector

Conka-Nurdan

Nurdan

Walenta

et al.

IEEE Symposium Conference Record Nuclear Science 2004.

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A Compton camera system consisting of a silicon drift detector (SDD) and an Anger camera has been constructed to study coincidence events and the possibility of tracking a recoil electron. An event is considered as a coincidence when a photon emitted from a radioactive source is first Compton scattered in the SDD where the recoil electron deposits its energy and the scattered photon undergoes a photoelectric absorption in the NaI(Tl) crystal of the Anger camera. SDD is composed of a monolithic array of 19 cells each having an on-chip transistor which provides the first stage amplification. 137 Cs source has been finely collimated in order to study events occuring at different locations within a single cell. Electron tracks depositing energy in multiple cells have also been studied by considering time coincidences between SDD cells and the Anger camera. The equipment is designed such that the measurements can be done in all detector orientations and kinematical conditions. The angular and energy distribution of coincidence events have been studied with high statistics. Energy resolution and angle measurements performed with this detector system will be presented in this paper.

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“…The essential steps for ITEM are ( [2] for a more detailed description): • QM-ify your problem, that means bringing it into a form where different solutions behave like superpositions. • Find a HamiltonianĤ describing the physics of the problem as well as prior beliefs.…”

Section: Item the Algorithmmentioning

confidence: 99%

“…This is particularly true for degenerated minimum states 2. When doing MC-integration this still scales with N , but gets a different proportionality coefficient.…”

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confidence: 99%