3 papers
math-ph2026
A c-transform optimal transport method for high-contrast freeform reflector design
Gang Bao, Yixuan Zhang, Jiaqi Yu
Design of high-contrast freeform reflectors is challenging, as the presence of zero-intensity regions leads to degeneracy in the associated Monge-Ampere-type equation. A common rem…
math.AP2026
Local reconstruction of coefficients in quantitative photo-acoustic tomography
Gang Bao, Mirza Karamehmedovic, Faouzi Triki
We study the problem of reconstructing the scattering and absorption coefficients in the radiative transport equation using internal data in quantitative photo-acoustic tomography…
math.NA2025
Optimal Transportation for the Far-field Reflector Problem
Gang Bao, Yixuan Zhang
The inverse reflector problem aims to design a freeform reflecting surface that can direct the light from a specified source to produce the desired illumination in the target area,…