Computer Science – Numerical Analysis
Scientific paper
2011-07-25
Computer Science
Numerical Analysis
This paper has been withdrawn by the author due to some errors in the demonstration of proposition 2.2
Scientific paper
The localized radial symmetric function, or blob, is an ideal alternative to the pixel basis for X-ray computed tomography (CT) image reconstruction. In this paper we develop image representation models using blob, and propose reconstruction methods for few projections data. The image is represented in a shift invariant space generated by a Gaussian blob or a multiscale blob system of different frequency selectivity, and the reconstruction is done through minimizing the Total Variation or the 1 norm of blob coefficients. Some 2D numerical results are presented, where we use GPU platform for accelerating the X-ray projection and back-projection, the interpolation and the gradient computations.
Desbat Laurent
Legoupil Samuel
Wang Han
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