how can I do this curve in Swarovski logo ?

Good try ghadaha, I had a quick go at it too, but those subtle curves and the fanning out spacing beat me.

Guess I'd have to make a custom grid and place the dots by hand  or somerhing,

to get it looking smart enough for the pond.

- Give your shape a Black to White Gradient (Black will convert later to small circles and Black will be large circles)

- Go to Effects> Pixlate> Color Halftone.
- Select Object again.
- Make an Image trace to convert the pixel effect to vector   Window>Image Trace.

You need to edit the blend spine.

How to blend objects in Illustrator