How High

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Hello, I have a square tiled landscape with each square 2 tris. I have many particles above and many shadows on the landscape. To get the height of the shadow I decide which tris the particle is above and then treat that tris as a plane and get the height. This works very well for smooth undulating landscapes but is not perfect.

It has to be fast so the shadow is just a quad placed at the height found.

I was wondering if there are better ways to create shadows?

Thanks
Marg