Inverse optical tomography through PDE constrained optimisation in L∞

Katzourakis, N. (2019) Inverse optical tomography through PDE constrained optimisation in L∞. SIAM Journal on Control and Optimization, 57 (6). pp. 4205-4233. ISSN 1095-7138 doi: 10.1137/19M1239908

Abstract/Summary

Fluorescent Optical Tomography (FOT) is a new bio-medical imaging method with wider industrial applications. It is currently intensely researched since it is very precise and with no side effects for humans, as it uses non-ionising red and infrared light. Mathematically, FOT can be modelled as an inverse parameter identification problem, associated with a coupled elliptic system with Robin boundary conditions. Herein we utilise novel methods of Calculus of Variations in L∞ to lay the mathematical foundations of FOT which we pose as a PDE-constrained minimisation problem in Lp and L∞.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/87005
Identification Number/DOI	10.1137/19M1239908
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	SIAM
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