  Optical metasurfaces composed of precisely engineered nanostructures have
gained significant attention for their ability to manipulate light and
implement distinct functionalities based on the properties of the incident
field. Computational imaging systems have started harnessing this capability to
produce sets of coded measurements that benefit certain tasks when paired with
digital post-processing. Inspired by these works, we introduce a new system
that uses a birefringent metasurface with a polarizer-mosaicked photosensor to
capture four optically-coded measurements in a single exposure. We apply this
system to the task of incoherent opto-electronic filtering, where digital
spatial-filtering operations are replaced by simpler, per-pixel sums across the
four polarization channels, independent of the spatial filter size. In contrast
to previous work on incoherent opto-electronic filtering that can realize only
one spatial filter, our approach can realize a continuous family of filters
from a single capture, with filters being selected from the family by adjusting
the post-capture digital summation weights. To find a metasurface that can
realize a set of user-specified spatial filters, we introduce a form of
gradient descent with a novel regularizer that encourages light efficiency and
a high signal-to-noise ratio. We demonstrate several examples in simulation and
with fabricated prototypes, including some with spatial filters that have
prescribed variations with respect to depth and wavelength.
  Visit the Project Page at
https://deanhazineh.github.io/publications/Multi_Image_Synthesis/MIS_Home.html
