Abstract: Systems and methods for three-dimensional object category modeling can utilize figure-ground neural radiance fields for unsupervised training and inference. For example, the systems and methods can include a foreground model and a background model that can generate an object output based at least in part on one or more learned embeddings. The foreground model and background model may process position data and view direction data in order to output color data and volume density data for a respective position and view direction. Moreover, the object category model may be trained to generate an object output, which may include an instance interpolation, a view synthesis, or a segmentation.