Limited data X-ray tomography using nonlinear evolution equations

DMCA

Limited data X-ray tomography using nonlinear evolution equations

Cached

Download Links

Other Repositories/Bibliography

DBLP

by Ville Kolehmainen , Matti Lassas , Samuli Siltanen

Venue:	SIAM J. Sci. Comput
Citations:	6 - 3 self

BibTeX

@ARTICLE{Kolehmainen_limiteddata,
    author = {Ville Kolehmainen and Matti Lassas and Samuli Siltanen},
    title = {Limited data X-ray tomography using nonlinear evolution equations},
    journal = {SIAM J. Sci. Comput},
    year = {},
    pages = {1413--1429}
}

OpenURL

Abstract

Abstract. A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{Φ(x), 0} where Φ is a smooth function. The function Φ is computed as the equilibrium so-lution 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 Alge-braic Reconstruction Technique (ART). Key words. Limited angle tomography, X-ray tomography, level set, nonlinear evolution equa-

Keyphrases

nonlinear evolution equation data x-ray tomography limited angle projection data traditional backprojection-based approach x-ray tomography key word smooth function x-ray tomography problem nonlinear evolution equa vitro dental specimen angle tomography alge-braic reconstruction technique sparse projection data novel approach equilibrium so-lution shepp-logan phantom x-ray attenuation coefficient reconstruction algorithm level set sparse angular sampling

DMCA