P. Kuchment, “Detection of small low emission sources on a large random background”, Inverse Transport Theory and Tomography Workshop, Banff, Canada, 16–21 May, 2010.
The problem to be addressed is the plausibility of detecting presence of a geometrically small and low emission source, when the background noise about thousand times exceeds the source signal. This problem, arising in applications, is akin to the one of the well known Single Photon Emission Tomography (SPECT) in medical imaging, except that the signal here is much weaker than in SPECT, while the noise is much higher. It will be discussed what kinds of detectors could be appropriate and what mathematical approaches can be used for detection. Results of numerical experiments conﬁrming validity of the suggested techniques will be also presented. The work was done with a team of graduate and undergraduate students at Texas A&M University (M. Allmaras, D. Darrow, Y. Hristova, X. Xun).