I have been going through the NEUS paper repository on GitHub and came across a mention of a logistic density distribution in the paper. However, I couldn't find the corresponding implementation in the code.

In the paper, it states:

enter image description here

I am particularly interested in understanding how this logistic density distribution is utilized within the volume rendering process. Unfortunately, I haven't been able to locate the implementation in the codebase.

I would appreciate it if someone could provide guidance on where I can find the implementation of the logistic density distribution in the code.

This is what I managed to get so far:

The equation (13) in the paper enter image description here shows how alpha is calculated. This matches with the 171st line of code in the file models/renderer.py:

alpha = (prev_cdf - next_cdf + 1e-5) / (prev_cdf + 1e-5)

However, I could not clearly track how prev_cdf and next_cdf include the calculation of the logistic density distribution function.

Thanks in advance!

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