happynear / happynear/NormFace

Question regarding a part of the paper

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Description

screen shot 2018-05-20 at 10 18 55 pm

Can I know why "From the geometric perspective, ...normal vector x"?

Also, I can't quite understand your figure 4 too. Why $\frac{\partial L}{\partial \bar{x}}$ points in the south east direction?

Do you mind explaining?

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