How do you find all vertices on the terrain under a given curve?

I am trying to deform the terrain data based on a bezier curve, but i am not sure how i would find nearest vertices in terrain data in order to deform the mesh?

The goal here is to draw rivers with my bezier curves..

Which methods in the api does unity provide that can help me achieve this ?

 

You're welcome to study the computations for this in the grenade / terrain damager demo in my MakeGeo project.

Look for the TerrainDamager.unity scene.

MakeGeo is presently hosted at these locations:

https://bitbucket.org/kurtdekker/makegeo

https://github.com/kurtdekker/makegeo

https://gitlab.com/kurtdekker/makegeo

https://sourceforge.net/p/makegeo