Question for the paper: f^hat(p)

[SeanGuo063]

Very impressive work! I have a question of how to compute the f^hat(p) in your paper.

According to my understand, f^hat(p) is the difference of the depth of point p and the depth of the ray (p is on this ray) with current training pose. However, this depth difference is not the definition of the SDF, also there is one case that this operation could not handle.

Suppose there are two Guassians, g1, g2. So the sdf of p should be the red line, right? For a pose, which is O, the f^hat(p) according to the paper, should be the green line.

Is there something that I am missing? Thanks for the great work, again.