Limited data X-ray tomography using nonlinear evolution equations

doi:10.1137/050622791

Limited data X-ray tomography using nonlinear evolution equations

2008-01-01

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DOI：10.1137/050622791

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A novel approach to the X-ray tomography problem with sparse projection data is proposed. Nonnegativity of the X-ray attenuation coefficient is enforced by modelling it as max{Phi(x),0}, where Phi is a smooth function. The function Phi is computed as the equilibrium solution of a nonlinear evolution equation analogous to the equations used in level set methods. The reconstruction algorithm is applied to (a) simulated full and limited angle projection data of the Shepp-Logan phantom with sparse angular sampling and (b) measured limited angle projection data of in vitro dental specimens. The results are significantly better than those given by traditional backprojection-based approaches, and similar in quality (but faster to compute) compared to the algebraic reconstruction technique.

Keywords:

limited angle tomography

X-ray tomography

level set

nonlinear evolution equation

Limited data X-ray tomography using nonlinear evolution equations

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