  Imaging through scattering media is a useful and yet demanding task since it
involves solving for an inverse mapping from speckle images to object images.
It becomes even more challenging when the scattering medium undergoes dynamic
changes. Various approaches have been proposed in recent years. However, to
date, none is able to preserve high image quality without either assuming a
finite number of sources for dynamic changes, assuming a thin scattering
medium, or requiring the access to both ends of the medium. In this paper, we
propose an adaptive inverse mapping (AIP) method which is flexible regarding
any dynamic change and only requires output speckle images after
initialization. We show that the inverse mapping can be corrected through
unsupervised learning if the output speckle images are followed closely. We
test the AIP method on two numerical simulations, namely, a dynamic scattering
system formulated as an evolving transmission matrix and a telescope with a
changing random phase mask at a defocus plane. Then we experimentally apply the
AIP method on a dynamic fiber-optic imaging system. Increased robustness in
imaging is observed in all three cases. With the excellent performance, we see
the great potential of the AIP method in imaging through dynamic scattering
media.
