IPE explained about mipnerf HOT 4 CLOSED

expected_sin() is just the expectation of sin() with respect to a normal distribution, you can re-derive it using Mathematica or something by integrating the product of a normal distribution and sin(x). That concatenation of sin(x) and sin(x + pi/2) is just a way of computing sin(x) and cos(x) quickly, as cos(x) = sin(x+pi/2).

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Thank you for the explanation :)

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Why do you omit y_var returned by the expected_sin in IPE?
https://github.com/google/mipnerf/blob/main/internal/mip.py#L182-L184

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We don't use y_var anywhere in the algorithm. It's only computed in the code because I thought someone might find it useful some day.

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