Attenuation correction in PET using consistency information

Welch, Andrew; Campbell, C.; Clackdoyle, Rolf; Natterer, Frank; Hudson, M. K.; Bromiley, A.; Mikecz, Pál; Chillcot, F.; Dodd, Melody; Hopwood, P.; Craib, S.; Gullberg, Grant T.; Sharp, P.

doi:10.1109/23.737676

Cited by 61 publications

(40 citation statements)

References 14 publications

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“…In this work, we enforce the first three moments of the Helgason-Ludwig consistency conditions on 2-D Radon transforms in a method originally proposed by Welch et al [8]. Their method uses Natter's formulation of the consistency conditions…”

Section: Alignment Metricmentioning

confidence: 99%

“…In this work, we developed and tested a method for automated alignment of attenuation and emission data. The alignment process enforces the Radon consistency conditions on the emission data and is derived from previous work by Welch et al [8]. The optimal rigid body transformation of the attenuation image volume is found that results in the most consistent attenuation corrected emission data and improved attenuation-emission alignment.…”

Section: Introductionmentioning

confidence: 98%

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Attenuation-Emission Alignment in Cardiac PET/CT with Consistency Conditions

Alessio

Caldwell

Chen

et al. 2006

2006 IEEE Nuclear Science Symposium Conference Record

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Abstract-Misaligned attenuation correction factors lead to artifacts and quantitative errors in cardiac PET images, potentially resulting in inaccurate interpretation and/or incorrect clinical decisions. Artifacts from misaligned attenuation-emission scans are common with conventional PET imaging. The potential for misalignment/artifacts is further increased in dual modality PET/CT systems since CT images a snapshot of the respiratory cycle and PET images multiple respiratory cycles. In this work, we developed and tested a method for automated alignment of attenuation and emission data. The alignment process enforces the Radon consistency conditions on the emission data and is derived from previous work by Welch et al. The attenuation image volume is aligned through simple rigid body transformations with the emission data. We test the process with simulated data and measured patient data from two ammonia cardiac PET/CT exams.

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Section: Alignment Metricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Attenuation-Emission Alignment in Cardiac PET/CT with Consistency Conditions

Alessio

Caldwell

Chen

et al. 2006

2006 IEEE Nuclear Science Symposium Conference Record

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“…So, the idea is to use additional information in order to reduce the indetermination. To do this, Natterer et al [29] consider that the sought attenuation is a shifted version of a given one. That is, they consider μ(x) = μ 0 ( Ax + a) where A is a 2x2 matrix and a a 2-vector.…”

Section: Natterermentioning

confidence: 99%

Activity and attenuation recovery from activity dataonly in emission computed tomography

Pierro¹,

Crepaldi²

2006

Mat. apl. comput.

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Abstract.We describe the continuous and discrete mathematical models for Emission Computed Tomography (ECT) and the need for attenuation correction. Then we analyse the problem of retrieving the attenuation directly from the emission data, nonuniqueness and its consequences.We present the existing and new approaches for solving the problem. Methods are compared and illustrated by numerical simulations. The presentation focuses on Positron Emission Tomography, but we also discuss the extensions to Single Photon Emission Computed Tomography.Mathematical subject classification: 44A12, 65R30, 65R32.

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“…88, simultaneous maximum-likelihood reconstruction of activity and attenuation from positron emission and transmission data were proposed, and the idea of alternating updates of activity and attenuation premiered. In various PET or SPECT studies, deformation of a-priori µ-maps based on DCCs was evaluated 46,84,89 -see also Sec. 7.C.3.…”

Section: B Simultaneous Reconstructionmentioning

confidence: 99%

“…84 and 89 (for SPECT) and Ref. 46 (for PET), the attenuation distribution was assumed to be an affine distortion of a known prototype attenuation distribution, and the system of data consistency conditions was solved for this affine distortion using the Levenberg-Marquardt algorithm. These 2-D studies were followed by research on 3-D templates, this time using simplex methods evaluated in simulations and phantoms 189 and, later, in cardiac PET/CT patients using rigidbody registration.…”

Section: C3 Registration Of Available µ-Mapsmentioning

confidence: 99%

Attenuation correction in emission tomography using the emission data—A review

Berker

2016

Medical Physics

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The problem of attenuation correction (AC) for quantitative positron emission tomography (PET) had been considered solved to a large extent after the commercial availability of devices combining PET with computed tomography (CT) in 2001; single photon emission computed tomography (SPECT) has seen a similar development. However, stimulated in particular by technical advances toward clinical systems combining PET and magnetic resonance imaging (MRI), research interest in alternative approaches for PET AC has grown substantially in the last years. In this comprehensive literature review, the authors first present theoretical results with relevance to simultaneous reconstruction of attenuation and activity. The authors then look back at the early history of this research area especially in PET; since this history is closely interwoven with that of similar approaches in SPECT, these will also be covered. We then review algorithmic advances in PET, including analytic and iterative algorithms. The analytic approaches are either based on the Helgason-Ludwig data consistency conditions of the Radon transform, or generalizations of John's partial differential equation; with respect to iterative methods, we discuss maximum likelihood reconstruction of attenuation and activity (MLAA), the maximum likelihood attenuation correction factors (MLACF) algorithm, and their offspring. The description of methods is followed by a structured account of applications for simultaneous reconstruction techniques: this discussion covers organ-specific applications, applications specific to PET/MRI, applications using supplemental transmission information, and motion-aware applications. After briefly summarizing SPECT applications, we consider recent developments using emission data other than unscattered photons. In summary, developments using time-of-flight (TOF) PET emission data for AC have shown promising advances and open a wide range of applications. These techniques may both remedy deficiencies of purely MRI-based AC approaches in PET/MRI and improve standalone PET imaging. C

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Attenuation correction in PET using consistency information

Cited by 61 publications

References 14 publications

Attenuation-Emission Alignment in Cardiac PET/CT with Consistency Conditions

Attenuation-Emission Alignment in Cardiac PET/CT with Consistency Conditions

Activity and attenuation recovery from activity dataonly in emission computed tomography

Attenuation correction in emission tomography using the emission data—A review

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