I have never worked with grass, but here's my sugestion: make the bottom ends of the grass a bit longer/shorter on each sprite, so that it looks like some of the grass is closer to you than the other parts of the sprite. Don't change it much, otherwise it'll look weird when u get close, but just a bit... here's what I mean:
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Imagine these lines to be the grass... you can see how some of it is longer at the bottom than other parts...
That would probably make it look less "cut off"...
Just my idea
Micha