Title
Image representation by blob and its application in CT reconstruction from few projections
Abstract
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.
Year
Venue
Keywords
2011
arXiv: Numerical Analysis
total variation,image reconstruction,numerical analysis,symmetric function
Field
DocType
Volume
Iterative reconstruction,Computer vision,Mathematical optimization,Corner detection,Interpolation,Gaussian,Blob detection,Artificial intelligence,Invariant (mathematics),Pixel,Numerical analysis,Mathematics
Journal
abs/1107.5087
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Han Wang14610.87
Laurent Desbat2336.39
Samuel Legoupil392.02