  We present the content deformation field CoDeF as a new type of video
representation, which consists of a canonical content field aggregating the
static contents in the entire video and a temporal deformation field recording
the transformations from the canonical image (i.e., rendered from the canonical
content field) to each individual frame along the time axis.Given a target
video, these two fields are jointly optimized to reconstruct it through a
carefully tailored rendering pipeline.We advisedly introduce some
regularizations into the optimization process, urging the canonical content
field to inherit semantics (e.g., the object shape) from the video.With such a
design, CoDeF naturally supports lifting image algorithms for video processing,
in the sense that one can apply an image algorithm to the canonical image and
effortlessly propagate the outcomes to the entire video with the aid of the
temporal deformation field.We experimentally show that CoDeF is able to lift
image-to-image translation to video-to-video translation and lift keypoint
detection to keypoint tracking without any training.More importantly, thanks to
our lifting strategy that deploys the algorithms on only one image, we achieve
superior cross-frame consistency in processed videos compared to existing
video-to-video translation approaches, and even manage to track non-rigid
objects like water and smog.Project page can be found at
https://qiuyu96.github.io/CoDeF/.
