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NeRF uses Hierarchical volume sampling, see section 5.2 of the original paper for the description.
Long story short, N locations are sampled and put through the "coarse network".
After this, a more "informed" sampling is undertaken by incorporating the output of the coarse network, which tells us which parts of the volume are relevant.
Therefore, more than N samples are taken.
If naive sampling were used, we would indeed get N points along a ray as you expected.
To render a single ray, say we sample N=64 points along the ray. Then we only evaluated 64 times, why hundreds of times?
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