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xucao-42 / bilateral_normal_integration

Official implementation of "Bilateral Normal Integration" (BiNI), ECCV 2022.
GNU General Public License v3.0
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Understanding about one sentence in the paper. #7

Closed Lzshanshan closed 5 months ago

Lzshanshan commented 5 months ago

Hello,

Thanks for this amazing work, but I am confused about one sentence in the paper. In the Section 2.1, you mention "we omit the dependencies of p and n on u for brevity."

Could you please give me more explanations on "dependencies"? I mean what do dependencies of p and n on u mean here? And, when ommitting dependencies, what are the assumptions?

Thank you for your time and patience.

Zhenshan, Regards

xucao-42 commented 5 months ago

Hi, p and n can be both considered as functions defined on the image plane, thus p(u) and n(u). By "omitting the dependencies", I mean we write the equations in terms of p and n instead of p(u) and n(u). But still, we mean the equations should hold at each pixel u in the image plane. No assumptions are introduced here.

BTW, p(u) is just the point map, where each pixel u records the XYZ coordinates of a 3D point.

Lzshanshan commented 5 months ago

Thanks for your quick reply and clear explanation!