The 41th KMGS will be held on December 05, Thursday, at the Natural Science Building (E6-1) Room 3438. We invite a speaker Woojoo Lee from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 이우주 (Woojoo Lee) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 임미경, Mikyoung Lim
[Title] Inverse scattering problems for moving targets: tracking of location and orientation
[Discipline] Inverse problems (Applied mathematics)
[Abstract]Inverse scattering problems aim to identify geometric and material properties of scatterers from measurements. For moving targets, the problems extend to estimating their trajectories; these problems are inherently nonlinear, ill-posed, and further complicated by the unpredictable motion of the targets. In this talk, I address the inverse scattering problem for moving targets using far-field data. Specifically, I focus on identifying both the location and orientation of targets from a single incident field, assuming the target’s movement is modeled as a rigid motion. We derive the translation and rotation formulas for far-field data and establish their local Lipschitz property with respect to the rotation angle. By integrating these results with Bayesian optimization and machine learning, we recover the trajectory of the moving target and estimate its shape with accurate orientation at each time point. Numerical simulations with randomly generated targets and trajectories demonstrate the robustness and effectiveness of the proposed method.
[Language] Korean but English if it is requested