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Topological sensitivity analysis in fluorescence optical tomography
AuthorLaurain, Antoine ; Hintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Freiberger, Manuel ; Scharfetter, Hermann
Published in
Inverse Problems, Bristol [u.a.], 2013, Vol. 29, Issue 2, page 34-S.
Document typeJournal Article
Keywords (EN)fluorescence optical tomography / inverse problem / topological derivative / asymptotic analysis
URNurn:nbn:at:at-ubg:3-779 Persistent Identifier (URN)
 The work is publicly available
Topological sensitivity analysis in fluorescence optical tomography [2.67 mb]
Abstract (English)

Fluorescence tomography is a non-invasive imaging modality that reconstructs fluorophore distributions inside a small animal from boundary measurements of the fluorescence light. The associated inverse problem is stabilized by a priori properties or information. In this paper, cases are considered where the fluorescent inclusions are well separated from the background and have a spatially constant concentration. Under these a priori assumptions, the identification process may be formulated as a shape optimization problem, where the interface between the fluorescent inclusion and the background constitutes the unknown shape. In this paper, we focus on the computation of the so-called topological derivative for fluorescence tomography which could be used as a stand-alone tool for the reconstruction of the fluorophore distributions or as the initialization in a level-set-based method for determining the shape of the inclusions.