Modelling the propagation of light in turbid water (Q2738614)

Conclusions: Modelling of light propagation in turbid water is needed to better understand and process the data collected by underwater optical imaging systems and sensors. The paper has presented the standard one-speed transport model used to describe this situation, and has shown that the exact values of the spatial and angular moments of the solution can be easily calculated for the important generic problem of a propagating pulse in an infinite medium. It proposes that a maximum entropy estimate of the solution be reconstructed from these moments using the new algorithm presented in [\textit{J. M. Borwein} and \textit{W. Z. Huang}, SIAM J. Optim. 5, 68-99 (1995; Zbl 0820.49016)]. As this algorithm is linear in the data, the overall method promises to be competitive with any of the current numerical solution techniques. Work is in progress on numerical implementation of this approach, and on extending the results to the boundary value problem presented by Laser Airborne Depth Sounder.NEWLINENEWLINEFor the entire collection see [Zbl 0963.00027].