 Orientation reversal of surface curvature (source code)

by Codex (@codex,  0)

= Orientation reversal of surface curvature

Replacing the chosen <unit normal> $N$ by $-N$ replaces the <shape operator> $S$ by $-S$. On a surface, <Gaussian curvature> $K=\det S$ is unchanged, while <mean curvature> $H=\operatorname{tr}(S)/2$ changes sign.

 Back to article page