Efficient 3D grids for image reconstruction usingspherically-symmetric volume elements
Matej, S.; Lewitt, R.M.
Nuclear Science, IEEE Transactions on
Volume 42, Issue 4, Aug 1995 Page(s):1361 - 1370
Digital Object Identifier 10.1109/23.467854
Summary:Incorporation of spherically-symmetric volume elements (blobs),
instead of the conventional voxels, into iterative image reconstruction
algorithms, has been found in our previous studies to lead to
significant improvement in the quality of the reconstructed images.
Furthermore, for three-dimensional (3D) positron emission tomography the
3D algebraic reconstruction technique using blobs can reach comparable
or even better quality than the 3D filtered backprojection method after
only one cycle through the projection data. The only shortcoming of the
blob reconstruction method is an increased computational demand, because
of the overlapping nature of the blobs. In our previous studies the
blobs were placed on the same 3D simple cubic grid as used for voxel
basis functions. For spherically-symmetric basis functions there are
more advantageous arrangements of the 3D grid, enabling a more isotropic
distribution of the spherical functions in the 3D space and a better
packing efficiency of the image spectrum. Our studies confirmed that,
when using the body centered cubic grid, the number of grid points can
be effectively reduced, decreasing the computational and memory demands
while preserving the quality of the reconstructed images
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