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so why does it use multi-layer perceptron? is it the same as ANN? why not calling it ANN? Does it have activation?

There is another thing I don't understand. Traditional volume data is a map of position to density (or color). There doesn't seem to be the need for a direction as an input.

Why does the network need a direction? Why can't we get a density (opacity) and a color given a position?

and what are z(t) r(t) in equation 5,6?



Answered most your other questions below in another comment.

> and what are z(t) r(t) in equation 5,6?

r(t) is a position in 3D space along a camera ray of the form, r(t) = origin + t * direction.

z(t) is the output of our first MLP. Think of it as a 256-dimensional vector of uninterpretable numbers that represent the input position r(t) in a useful way.




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