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autonomousvision / mip-splatting

[CVPR'24 Best Student Paper] Mip-Splatting: Alias-free 3D Gaussian Splatting
https://niujinshuchong.github.io/mip-splatting/
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about 5.1 3D Smoothing Filter #14

Closed garrisonz closed 7 months ago

garrisonz commented 7 months ago

Thanks your great work!

One question: In the last paragraph in 5.1 3D Smoothing Filter, "By employing 3D Gaussian smoothing, we ensure that the highest frequency component of any Gaussian does not exceed half of its maximal sampling rate for at least one camera."

As I know, gaussian filter is soft smoothing filter, so most high frequency ($> \hat v_k/2$) component of a gaussian will be remove, but still very little high frequency ($> \hat v_k/2$) component will remain . Am I corret?

In one word: No any high frequency($> \hat v_k/2$) component remain, or still very little high frequency($> \hat v_k/2$) component remain?

niujinshuchong commented 7 months ago

Hi, you are correct. Gaussian filter is not an ideal low-pass filter so it can't filter high-frequency components completely. Will change the description to make it more clear. Thanks for the correction.

garrisonz commented 7 months ago

Thank you!