# Three-dimensional iterative reconstruction algorithms with attenuation and geometric point response correction

@inproceedings{Zeng1990ThreedimensionalIR, title={Three-dimensional iterative reconstruction algorithms with attenuation and geometric point response correction}, author={Gengsheng Larry Zeng and Grant T. Gullberg and Benjamin M. W. Tsui and J. A. Terry}, year={1990} }

A three-dimensional iterative reconstruction algorithm which incorporates models of the geometric point response in the projector-backprojector is presented for parallel, fan, and cone beam geometries. The algorithms have been tested on an IBM 3090-600S supercomputer. The iterative EM reconstruction algorithm is 50 times longer with geometric response and photon attenuation models than without modeling these physical effects. An improvement in image quality in the reconstruction of projection…

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## 182 Citations

Three-dimensional geometric point response correction in rotating slant-hole (RSH) SPECT

- Physics1999 IEEE Nuclear Science Symposium. Conference Record. 1999 Nuclear Science Symposium and Medical Imaging Conference (Cat. No.99CH37019)
- 1999

The quality and quantitative accuracy of SPECT images are degraded by effects of attenuation, scatter, noise, geometric response, septal penetration and intrinsic crystal resolution. The geometric…

Characteristics of Reconstructed Point Response in three-Dimensional Spatially Variant Detector Response Compensation in SPECT

- Physics, Medicine
- 1996

The reconstructed 3D point response is asymmetric with the best resolution in the longitudinal direction and worst in the radial direction, and total resolution recovery can be achieved when the reconstruction voxel size is small compared with that of the object.

A 3D model of non-uniform attenuation and detector response for efficient iterative reconstruction in SPECT.

- MedicinePhysics in medicine and biology
- 1994

The 3D model was incorporated into the maximum likelihood-expectation maximization maximization (ML-EM) reconstruction algorithm and tested in three phantom studies--a point source, a uniform cylinder, and an anthropomorphic thorax--and a patient 9Tc(m) sestamibi study.

Analytical reconstruction for helical cone-beam SPECT with non-uniform attenuation correction

- Physics, MedicineIEEE Nuclear Science Symposium Conference Record, 2005
- 2005

A filtering-backprojection-filtering algorithm of the FDK type is presented by extending the FBP algorithms for attenuated fan-beam projections to the three-dimensional cone- beam projections to help image reconstruction for helical cone-beam (CB) single photon emission computed tomography (SPECT).

Projection space image reconstruction using strip functions to calculate pixels more "natural" for modeling the geometric response of the SPECT collimator

- Physics1996 IEEE Nuclear Science Symposium. Conference Record
- 1996

The spatially varying geometric response of the collimator-detector system in SPECT produces loss in resolution in addition to shape distortions, reconstructed density non-uniformity and quantitative…

Fully 3D Monte Carlo reconstruction in SPECT: a feasibility study.

- PhysicsPhysics in medicine and biology
- 2005

The value of using accurate Monte Carlo simulations to determine the 3D projector used in a fully 3D Monte Carlo (F3DMC) reconstruction approach is investigated and it is suggested that F3D MC improves spatial resolution, relative and absolute quantitation and signal-to-noise ratio.

Evaluation of Fully 3D Iterative Scatter Compensation and Post-Reconstruction Filtering In SPECT

- Physics
- 1996

A projector back-projector (proback) architecture has been developed which can compensate for attenuation, distance dependent collimator blur and anatomy dependent scatter, at different levels of accuracy.

An FDK-like cone-beam SPECT reconstruction algorithm for non-uniform attenuated projections acquired using a circular trajectory.

- PhysicsPhysics in medicine and biology
- 2005

In this paper, Novikov's inversion formula of the attenuated two-dimensional (2D) Radon transform is applied to the reconstruction of attenuated fan-beam projections acquired with equal detector…

Cone-Beam Algebraic Reconstruction Using Edge-Preserving Regularization

- Mathematics
- 1996

This paper describes an algebraic algorithm for volume reconstruction from cone-beam projections which involves the minimization of a non quadratic energy criterion, difficult to solve, which is transformed into a half-quadratic dual energy system, simple to minimize.

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