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I have a mesh $\mathcal{M}$ and 4 vertices $v_1, v_2, v_3, v_4$, I know the connectivity but not the geometric path. $\mathcal{M}$ is a single connected component (with no holes). What's the quickest/easiest way to compute the area delimited from these 4 points?

I don't know the actual geometric path but if $v_i$ is connected to $v_{i+1}$ I know for sure they're connected by a geodesic path.

Is there like a simple algorithm to commpute the area?

Thank you.

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