Title
Approximate inverse based implementation for Tuy's formula
Abstract
It is well known that Tuy's inversion formula is not generally implemented in practice. Recently, based on approximate inverse where reconstruction kernels are precomputed independently, a fast inversion algorithm has been derived from the 3D inverse Radon transform with the classical single-circular trajectory. In this paper, based on the relationship between Tuy's formula and the 3D inverse Radon transform, we derive the reconstruction kernel of Tuy's formula with a two-orthogonal-circular trajectory. Moreover, with the two-orthogonal-circular scanning, the reconstruction kernel of Tuy's formula keeps the invariance properties.
Year
DOI
Venue
2010
10.1109/ICIP.2010.5653260
ICIP
Keywords
Field
DocType
3d inverse radon transform,approximate inverse,computerised tomography,x-ray computed tomography,reconstruction kernel,circular scanning,tuy's formula,cone-beam reconstruction,image reconstruction,mollifier,inverse transforms,radon transforms,tuy's inversion formula,circular trajectory,trajectory,radon transform,kernel,computed tomography
Kernel (linear algebra),Iterative reconstruction,Inverse,Invariant (physics),Mathematical analysis,Cone beam reconstruction,Mollifier,Radon transform,Mathematics,Trajectory
Conference
ISSN
ISBN
Citations 
1522-4880 E-ISBN : 978-1-4244-7993-1
978-1-4244-7993-1
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Hongli Hu172.88
Jian-Zhou Zhang2225.38