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CT reconstruction from parallel and fan-beam projections by 2D discrete Radon transform
 

Summary: CT reconstruction from parallel and fan-beam
projections by 2D discrete Radon transform
Amir Averbuch1
Ilya Sedelnikov1
Y. Shkolnisky2
1
School of Computer Science, Tel Aviv University, Tel Aviv 69978
2
Program of Applied Mathematics, Department of Mathematics
Yale University, New Haven, CT, USA
June 1, 2009
Abstract
We propose two algorithms for the reconstruction of a 2D object from its
continuous projections. The first algorithm operates on parallel projected data,
while the second uses the more practical model of fan-beam projections. Both
algorithms are based on the discrete Radon transform ([5]), which extends the
continuous Radon transform to discrete data. The discrete Radon transform and
its inverse, which can be computed in a complexity comparable to the 2D FFT,
are shown to accurately model the continuum as the number of samples increases.
Numerical results demonstrate high quality reconstructions for both parallel and

  

Source: Averbuch, Amir - School of Computer Science, Tel Aviv University

 

Collections: Computer Technologies and Information Sciences