creating noise on a plane from an image texture

Hello everyone,

I have been trying to sculpt an image on a sculpted plane and get some problems.
First of all, after I have to set up SizeX and Sizey to 2 in the map input, otherwise the noise does not reproduce the whole image on the plane surface.
The second problem, which I have not solved yet, is that the noise gets reproduced in the opposite Z direction. If I try to reproduce a hill, I get a valley instead.
Any clue on how to solve that?

thanks