  This paper introduces single-image geometric and appearance reconstruction
from water reflection photography, i.e., images capturing direct and
water-reflected real-world scenes. Water reflection offers an additional
viewpoint to the direct sight, collectively forming a stereo pair. The
water-reflected scene, however, includes internally scattered and reflected
environmental illumination in addition to the scene radiance, which precludes
direct stereo matching. We derive a principled iterative method that
disentangles this scene radiometry and geometry for reconstructing 3D scene
structure as well as its high-dynamic range appearance. In the presence of
waves, we simultaneously recover the wave geometry as surface normal
perturbations of the water surface. Most important, we show that the water
reflection enables calibration of the camera. In other words, for the first
time, we show that capturing a direct and water-reflected scene in a single
exposure forms a self-calibrating HDR catadioptric stereo camera. We
demonstrate our method on a number of images taken in the wild. The results
demonstrate a new means for leveraging this accidental catadioptric camera.
