An object-oriented library incorporating efficient projection/backprojection operators for volume reconstruction in 3D PET

Iterative reconstruction methods applied to image reconstruction in three-dimensional (3D) positron emission tomography (PET) should result in possibly better images than analytical reconstruction algorithms. However, the long reconstruction time has remained an obstacle to their development and, moreover, their clinical routine use. Together with the constant increase in performances of the computing platforms, recent developments in parallel processing techniques offer practical ways to speed up the calculations and attain clinically viable processing rates [1]. The aim of this paper is to present the development of a library of object-oriented building blocks for the implementation of both analytical and iterative reconstruction algorithms in 3D PET.

[1]  Linda Kaufman,et al.  Maximum likelihood, least squares, and penalized least squares for PET , 1993, IEEE Trans. Medical Imaging.

[2]  C. M. Chen,et al.  Incremental algorithm-a new fast backprojection scheme for parallel beam geometries. , 1990, IEEE transactions on medical imaging.

[3]  M L Egger,et al.  Incremental beamwise backprojection using geometrical symmetries for 3D PET reconstruction in a cylindrical scanner geometry. , 1998, Physics in medicine and biology.

[4]  P. Green Bayesian reconstructions from emission tomography data using a modified EM algorithm. , 1990, IEEE transactions on medical imaging.

[5]  Kris Thielemans,et al.  On various approximations for the projectors in iterative reconstruction algorithms for 3D-PET , 1999 .

[6]  Gabor T. Herman,et al.  Algebraic reconstruction techniques can be made computationally efficient [positron emission tomography application] , 1993, IEEE Trans. Medical Imaging.

[7]  Paul Kinahan,et al.  Analytic 3D image reconstruction using all detected events , 1989 .

[8]  L. Shepp,et al.  Maximum Likelihood Reconstruction for Emission Tomography , 1983, IEEE Transactions on Medical Imaging.

[9]  A. R. De Pierro,et al.  On the relation between the ISRA and the EM algorithm for positron emission tomography , 1993, IEEE Trans. Medical Imaging.

[10]  R. Siddon Fast calculation of the exact radiological path for a three-dimensional CT array. , 1985, Medical physics.

[11]  H. Malcolm Hudson,et al.  Accelerated image reconstruction using ordered subsets of projection data , 1994, IEEE Trans. Medical Imaging.