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

  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},
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… 
Three-dimensional geometric point response correction in rotating slant-hole (RSH) SPECT
  • G. Bal, R. Clackdoyle, G. Zeng, D. Kadrmas
  • Physics
    1999 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
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.
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
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
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.
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
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.
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
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.


Applications of Iterative Reconstruction Methods in SPECT
The studies indicate that compensations for attenuation and detector response in SPECT are possible using iterative reconstruction techniques, and the attenuation compensation scheme using the iterative maximum likelihood-EM (ML-EM) algorithm can provide reconstructed images with low noise amplification, and accurate quantitative information without distortions and artifacts.
An iterative reconstruction algorithm for single photon emission computed tomography with cone beam geometry
An iterative EM reconstruction algorithm for single photon emission computed tomography is implemented for cone beam geometry that uses a ray‐driven projector‐backprojector and verified that the algorithm has important application to cardiac SPECT imaging.
Quantitative image reconstruction with weighted backprojection for single photon emission computed tomography.
  • E. Tanaka
  • Mathematics
    Journal of computer assisted tomography
  • 1983
A new method of image reconstruction for single photon emission computed tomography is presented, basically a filtered backprojection with some modifications, enabling improvement of the signal-to-noise ratio and spatial resolution at off-center area compared with the conventional averaging method of two conjugate projections.
Implementation of simultaneous attenuation and detector response correction in SPECT
Simultaneous correction of nonuniform attenuation and detector response was implemented in single-photon-emission computed tomography (SPECT) image reconstruction and provides more-accurate quantitation and superior image quality.
Distance-weighted backprojection: a SPECT reconstruction technique.
Data derived from hot and cold spot phantoms as well as from various clinical studies show better spatial and contrast resolution with this new technique compared with the conventional 360 degrees algorithm.
An attenuated projector-backprojector for iterative SPECT reconstruction.
A new ray-driven projector-backprojector which can easily be adapted for hardware implementation is described and simulated in software and discretely models the attenuated Radon transform of a source distributed within an attenuating medium as line integrals of discrete pixels.
EM reconstruction algorithms for emission and transmission tomography.
The general principles behind all EM algorithms are discussed and in detail the specific algorithms for emission and transmission tomography are derived and the specification of necessary physical features such as source and detector geometries are discussed.
A Theoretically-Correct Algorithm to Compensate for a Three-Dimensional Spatially-Variant Point Spread Function in Spect Imaging
Three factors which degrade positional information and the quantitative potential of single photon emission computed tomography (SPECT) are finite detector size, Compton scatter, and the detector
Compensation of spatial system response in SPECT with conjugate gradient reconstruction technique.
Results show that proper definition of the system matrix using conjugate gradients influences the quality of the reconstruction remarkably, and further work has to be done in order to assess to what extent the system Matrix is ill-conditioned and, eventually, to define a suitable regularization technique.
Parameterization of the scatter response function in SPECT imaging using Monte Carlo simulation
The authors have generated SRFs (scatter response functions) using the Monte Carlo simulation method and investigated the characteristics of the scattered radiation by fitting the SRFs with fitting