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\title{Image reconstruction from parallel projections based on 
                         wavelet descomposition}

\author{Yin Jiahong \\
IMECC, UNICAMP, Campinas 13083-970, SP, Brazil}
\date{}
\maketitle
    In image reconstruction, the most commonly used methods are the 
filtered backprojection algorithms (FBP), which include the operations 
of the derivation, Hilbert transformation and backprojection. In this 
paper, we discuss FBP based on wavelet decompositon. The multiresolution 
image reconstruction can be given with wavelet decomposition. Because 
the projects will be expanded based on a given wavelet, we can calculate 
the derivation and Hilbilt transformation of every wavelet basis and the 
interpolations of function which are needed in FBP, in advance. So, the 
computation for FBP is reduced. On the other hand, we will use algebric 
method to calculate the derivation and Hilbert transformation of wavelet 
basis.
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