What is a Visual Sphere and where can I learn more about it?

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I am reading a research paper by "Andrea Censi" and "Davide Scaramuzza" on Low Latency Event Based Visual Odometry.

In the paper it is mentioned:

"Let the data from the camera be a sequence of tuples $\langle t_{i},y_{i}\rangle$, where $t_i$ is the timestamp, $y_i: \mathbb{S}^{2}\rightarrow \mathbb{R}$ is the image (here defined as a function on the visual sphere)."

I want to understand what this visual sphere $\mathbb{S}^2$ space is? Without this knowledge, the above said line and in-turn $y_i$ doesn't makes sense to me.

Kindly help.