Math required to understand NeRF

Hello, I've just read the original NeRF paper and the high-level idea of the paper seems to be pretty clear. I understood how the ray tracing works using neural networks as mappings from (x,y,z, azimuth, incline) to a color and the motivations of the equations used.

My goal is to implement this paper, and the part I'm not really clear on is, given a camera position and orientation (how to represent this?) and a desired image size, I can come …

computervision math nerf