NVIDIA just announced this AI-based video conference system that addresses the problem of gaze correction and 3D reconstruction, as well as a bunch of other stuff.
https://developer.nvidia.com/maxine
The 3D reconstruction piece is interesting -- it ends up being a video compression algorithm as well. It replaces a video codec with a GAN algorithm. It takes an initial high-res snapshot your your face (keyframe), maps out a set of keypoints which gets transmitted to the other end. The algorithm at the destination uses a GAN to reconstruct the face. Because keypoints (vectors instead of raster) are an order of magnitude smaller than images, this results in a very high level of compression and very low latency video conferencing on low-bandwidth connections.
https://www.youtube.com/watch?v=NqmMnjJ6GEg
This idea is not unlike Apple's Memoji which uses facial recognition to create an animated emoji, except this reproduces real faces over the wire.