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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1137/19M1239908 Abstract/SummaryFluorescent 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∞.
Download Statistics DownloadsDownloads per month over past year Altmetric Deposit Details University Staff: Request a correction | Centaur Editors: Update this record |
Lists
Lists
