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SPECT imaging reconstruction through natural pixel discretization

Bevilacqua, Roberto and Bozzo, Enrico and Menchi, Ornella (2004) SPECT imaging reconstruction through natural pixel discretization. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.

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    In this paper the problem of reconstructing a two-dimensional tomographic medical image is considered. The emission function is defined on a plane circular domain and has to be reconstructed from data collected by SPECT. Through the natural pixel discretization approach the solution is expressed as a linear combination of functions belonging to a suitable basis. We consider here four different bases, all of them giving a highly structured coefficient matrix. By the Fourier transform the linear system thus obtained can be solved efficiently. The computational cost and the performance of the bases are compared. The numerical experimentation shows that when the data are contaminated by Poissonian noise all the bases are substantially equivalent from the point of view of the reconstruction efficiency.

    Item Type: Book
    Uncontrolled Keywords: Image processing, reconstruction, ill-posedness, regularization
    Subjects: Area01 - Scienze matematiche e informatiche > INF/01 - Informatica
    Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI INFORMATICA
    Depositing User: dott.ssa Sandra Faita
    Date Deposited: 09 Dec 2014 10:43
    Last Modified: 09 Dec 2014 10:52
    URI: http://eprints.adm.unipi.it/id/eprint/2122

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